<PAGE>   1

                                                                     EXHIBIT 3.1

                          CERTIFICATE OF INCORPORATION
                                       OF
                                    KNAK CO.

         FIRST:    The name of the Corporation is:

                          KNAK CO.

         SECOND:    The address of its registered office in the State of
Delaware is the Corporation Trust Center, 1209 Orange Street in the City of
Wilmington, County of New Castle.  The name of its registered agent at such
address is The Corporation Trust Company.

         THIRD:    The nature of the business or purposes to be conducted or
promoted is to engage in any lawful act or activity for which corporations may
be organized under the General Corporation Law of the State of Delaware.

         FOURTH:    The total number of shares of stock which the Corporation
shall have the authority to issue is 45,000,000 shares of capital stock
consisting of 5,000,000 shares of preferred stock, par value $1.00 per share
(the "Preferred Stock"), and 40,000,000 shares of common stock, par value $.10
per share (the "Common Stock").

         The designations, powers, preferences and relative, participating,
optional or other special rights and qualifications, limitations or
restrictions of the Preferred Stock shall be established by resolution of the
Board of Directors pursuant to Section 151 of the General Corporation Law of
the State of Delaware.

         FIFTH:    The name and mailing address of the incorporator is:

<TABLE>
<CAPTION>
                 Name                                  Mailing Address
                 ----                                  ---------------
         <S>                                     <C>
         Karen M. Nakfoor                        Fulbright & Jaworski
                                                 1301 McKinney, Suite 5100
                                                 Houston, Texas 77010-3095
</TABLE>

         SIXTH:    The Corporation is to have perpetual existence.

         SEVENTH: In furtherance and not in limitation of the powers conferred
by statute, the Board of Directors is expressly authorized to make, alter or
repeal the bylaws of the Corporation.

         EIGHTH:    Election of directors need not be by written ballot unless
the bylaws of the Corporation shall so provide.





                                      -1-
<PAGE>   2
         NINTH:    The bylaws of the Corporation shall not be made, repealed,
altered, amended or rescinded by the stockholders of the Corporation except by
the vote of the holders of not less than 75% of the total voting power of all
shares of stock of the Corporation entitled to vote in the election of
directors, considered for purposes of this Article NINTH as one class.

         TENTH:    No action shall be taken by the stockholders except at an
annual or special meeting of stockholders and stockholders may not act by
written consent.

         ELEVENTH:    Special meetings of the stockholders of the Corporation
for any purpose or purposes may be called at any time by the Board of
Directors, or by a committee of the Board of Directors which has been duly
designated by the Board of Directors and whose powers and authority, as
provided in a resolution of the Board of Directors or in the bylaws of the
Corporation, include the power to call such meetings.  Special meetings of
stockholders of the Corporation may not be called by any other person or
persons.

         TWELFTH:    No director of this Corporation shall be personally liable
to the Corporation or its stockholders for monetary damages for breach of
fiduciary duty as a director, except for liability (i) for any breach of the
director's duty of loyalty to the Corporation or its stockholders, (ii) for
acts or omissions not in good faith or which involve intentional misconduct or
a knowing violation of the law, (iii) under Section 174 of the General
Corporation Law of the State of Delaware, or (iv) for any transaction from
which the director derived an improper personal benefit.

         If the General Corporation Law of the State of Delaware is hereafter
amended to authorize corporate action further limiting or eliminating the
personal liability of directors, then the liability of the director to the
Corporation shall be limited or eliminated to the full extent permitted by the
General Corporation Law of the State of Delaware, as so amended from time to
time.  Any repeal or modification of this Article shall be prospective only,
and shall not adversely affect any limitation on the personal liability of a
director of the Corporation existing at the time of such repeal or
modification.

         THIRTEENTH: The names and mailing addresses of the persons who are to
serve as the directors of the Corporation until the first annual meeting of the
stockholders or until their respective successors are elected and qualified
are:

<TABLE>
<CAPTION>
                 Name                              Address
                 ----                              -------
         <S>                                   <C>
         J. W. Stewart                         5500 N.W. Central Drive
                                               Houston, Texas  77210-4442

         Michael McShane                       5500 N.W. Central Drive
                                               Houston, Texas  77210-4442
</TABLE>





                                      -2-
<PAGE>   3
<TABLE>
         <S>                                   <C>
         James D. Woods                        3900 Essex Lane
                                               Houston, Texas 77026

         Thomas W. Cason                       3900 Essex Lane
                                               Houston, Texas 77026
</TABLE>

         The Board of Directors shall be divided into three classes, Class I,
Class II and Class III.  The number of directors in each class shall be the
whole number contained in the quotient arrived at by dividing the authorized
number of directors by three, and if a fraction is also contained in such
quotient then if such fraction is one-third (1/3) the extra director shall be a
member of Class III and if the fraction is two-thirds (2/3) one of the extra
directors shall be a member of Class III and the other shall be a member of
Class II.  After division of the Board of Directors into classes, each director
shall serve for a term ending on the date of the third annual meeting following
the annual meeting at which such director was elected; provided, however, that
the initial directors appointed to Class I shall serve for a term ending on the
date of the first annual meeting next following September 30, 1990, the initial
directors appointed to Class II shall serve for a term ending on the date of
the second annual meeting next following September 30, 1990, and the initial
directors appointed to Class III shall serve for a term ending on the date of
the third annual meeting next following September 30, 1990.

         The number of directors shall be fixed from time to time by the bylaws
of the Corporation or an amendment thereof duly adopted by the Board of
Directors or by the stockholders acting in accordance with Article NINTH
herein.  In the event of any increase or decrease in the authorized number of
directors, (a) each director then serving as such shall nevertheless continue
as a director of the class of which he is a member until the expiration of his
current term, or his prior death, retirement, resignation or removal, and (b)
the newly created or eliminated directorships resulting from such increase or
decrease shall be apportioned by the Board of Directors to such class or
classes as shall, so far as possible, bring the number of directors in the
respective classes into conformity with the formula in this Article, as applied
to the new authorized number of directors.

         Notwithstanding any of the foregoing provisions of this Article, each
director shall serve until his successor is elected and qualified or until his
death, retirement, resignation or removal.  No director may be removed during
his term except for cause.

         FOURTEENTH: The affirmative vote of the holders of not less than 75%
of the outstanding shares of "Voting Stock" (as hereinafter defined) of the
Corporation, including the affirmative vote of the holders of not less than 66
2/3% of the outstanding shares of Voting Stock not owned, directly or
indirectly, by any "Related Person" (as hereinafter defined), shall be required
for the approval or authorization of any "Business Combination" (as hereinafter
defined) of the Corporation with any Related Person; provided, however, that
the 66 2/3% voting requirement referred to above shall not be applicable if the
Business Combination is approved by the affirmative vote of the holders of not
less than 90% of the outstanding shares of Voting Stock; and further provided
that the 75% voting requirement shall not be applicable if:





                                      -3-
<PAGE>   4
         (1)    The Board of Directors of the Corporation by a vote of not less
than 75% of the directors then holding office (a) have expressly approved in
advance the acquisition of outstanding shares of Voting Stock of the
Corporation that caused the Related Person to become a Related Person or (b)
have approved the Business Combination prior to the Related Person involved in
the Business Combination having become a Related Person;

         (2)    The Business Combination is solely between the Corporation and
another corporation, 100% of the Voting Stock of which is owned directly or
indirectly by the Corporation; or

         (3)    All of the following conditions have been met: (a) the Business
Combination is a merger or consolidation, the consummation of which is proposed
to take place within one year of the date of the transaction pursuant to which
such person became a Related Person and the cash or fair market value of the
property, securities or other consideration to be received per share by holders
of Common Stock of the Corporation in the Business Combination is not less than
the highest per share price (with appropriate adjustments for recapitalizations
and for stock splits, reverse stock splits and stock dividends) paid by the
Related Person in acquiring any of its holdings of the Corporation's Common
Stock; (b) the consideration to be received by such holders is either cash or,
if the Related Person shall have acquired the majority of its holdings of the
Corporation's Common Stock for a form of consideration other than cash, in the
same form of consideration as the Related Person acquired such majority; (c)
after such Related Person has become a Related Person and prior to the
consummation of such Business Combination: (i) except as approved by a majority
of the "Continuing Directors" (as hereinafter defined), there shall have been
no failure to declare and pay at the regular date therefor any full quarterly
dividends (whether or not cumulative) on any outstanding Shares of Preferred
Stock of the Corporation, (ii) there shall have been no reduction in the annual
rate of dividends paid per share on the Corporation's Common Stock (adjusted as
appropriate for recapitalizations and for stock splits, reverse stock splits
and stock dividends) except as approved by a majority of the Continuing
Directors, (iii) such Related Person shall not have become the "Beneficial
Owner" (as hereinafter defined) of any additional shares of Voting Stock of the
Corporation except as part of the transaction which resulted in such Related
Person becoming a Related Person, and (iv) such Related Person shall not have
received the benefit, directly or indirectly (except proportionately as a
stockholder), of any loans, advances, guarantees, pledges or other financial
assistance or any tax credits or other tax advantages provided by the
Corporation, whether in anticipation of or in connection with such Business
Combination or otherwise; and (d) a proxy statement, responsive to the
requirements of the Securities Exchange Act of 1934, as amended ("Exchange
Act") and the rules and regulations thereunder (or any subsequent provisions
replacing the Exchange Act, rules or regulations), shall be mailed to all
stockholders of record at least 30 days prior to the consummation of the
Business Combination for the purpose of soliciting stockholder approval of the
Business Combination and shall contain at the front thereof, in a prominent
place, any recommendations as to the advisability (or inadvisability) of the
Business Combination which the Continuing Directors, or any of them, may choose
to state and, if deemed advisable by a majority of the Continuing Directors, an
opinion of a reputable investment banking firm as to the fairness (or
unfairness) of the terms of such Business Combination from the point of view of
the remaining stockholders of the Corporation 





                                      -4-
<PAGE>   5
(such investment banking firm to be selected by a majority of the Continuing
Directors and to be paid a reasonable fee for its services by the Corporation
upon receipt of such opinion).

For the purposes of this Article:

         (i)    The term "Business Combination" shall mean (a) any merger or
consolidation of the Corporation or a subsidiary with or into a Related Person,
(b) any sale, lease, exchange, transfer or other disposition, including without
limitation a mortgage or any other security device, of all or any "Substantial
Part" (as hereinafter defined) of the assets either of the Corporation
(including, without limitation, any voting securities of a subsidiary) or of a
subsidiary to a Related Person (other than a distribution by the Corporation or
a subsidiary to the Related Person of assets in connection with a pro rata
distribution by the Corporation to all stockholders), (c) any merger or
consolidation of a Related Person with or into the Corporation or a subsidiary
of the Corporation, (d) any sale, lease, exchange, transfer or other
disposition of all or any Substantial Part of the assets of a Related Person to
the Corporation or a subsidiary of the Corporation, (e) the issuance of any
securities (other than by way of pro rata distribution to all stockholders) of
the Corporation or a subsidiary of the Corporation to a Related Person, (f) the
acquisition by the Corporation or a subsidiary of the Corporation of any
securities of a Related Person, (g) any recapitalization that would have the
effect of increasing the voting power of a Related Person, (h) any series or
combination of transactions having the same effect, directly or indirectly, as
any of the foregoing and (i) any agreement, contract or arrangement providing
for any of the transactions described in this definition of Business
Combination.

         (ii)    The term "Continuing Director" shall mean any member of the
Board of Directors of the Corporation who is not affiliated with a Related
Person and who was a member of the Board of Directors immediately prior to the
time that the Related Person became a Related Person, and any successor to a
Continuing Director who is not affiliated with the Related Person and is
recommended to succeed a Continuing Director by a majority of Continuing
Directors then serving as members of the Board of Directors of the Corporation.

         (iii)    The term "Related Person" shall mean and include any
individual, corporation, partnership or other person or entity which, together
with its "Affiliates" and "Associates" (as defined on July 1, 1990 in Rule
12b-2 under the Exchange Act), is the "Beneficial Owner" (as defined on July 1,
1990 in Rule 13d-3 under the Exchange Act) in the aggregate of 10% or more of
the outstanding Voting Stock of the Corporation, and any Affiliate or Associate
of any such individual, corporation, partnership or other person or entity.

         (iv)    The term "Substantial Part" shall mean more than 10% of the
book value of the total assets of the Corporation in question as of the end of
its most recent fiscal year ending prior to the time the determination is being
made.





                                      -5-
<PAGE>   6
         (v)    Without limitation, any shares of Common Stock of the
Corporation that any person has the right to acquire pursuant to any agreement,
or upon exercise of conversion rights, warrants or options, or otherwise, shall
be deemed beneficially owned by such person.

         (vi)    For the purposes of subparagraph (3) of this Article, the term
"other consideration to be received" shall include, without limitation, Common
Stock of the Corporation retained by its existing public stockholders in the
event of a Business Combination in which the Corporation is the surviving
corporation.

         (vii)    The term "Voting Stock" shall mean all outstanding shares of
capital stock of the Corporation or another corporation entitled to vote
generally in the election of directors and each reference to a proportion of
shares of Voting Stock shall refer to such proportion of the votes entitled to
be cast by such shares.

         FIFTEENTH:    The provisions set forth in this Article FIFTEENTH and
in Articles NINTH (dealing with the alteration of Bylaws by stockholders),
TENTH (dealing with the prohibition against stockholder action without
meetings), TWELFTH (dealing with liability of directors), THIRTEENTH (dealing
with the classification and number of directors) and FOURTEENTH (dealing with
the 75% vote of stockholders required for certain Business Combinations) herein
may not be repealed or amended in any respect, and no Article imposing
cumulative voting in the election of directors may be added, unless such action
is approved by the affirmative vote of not less than 75% of the total voting
power of all shares of stock of the Corporation entitled to vote in the
election of directors, considered for purposes of this Article FIFTEENTH as one
class.  Amendment to the provisions set forth in this Article FIFTEENTH and in
Article FOURTEENTH shall also require the affirmative vote of 66 2/3% of such
total voting power excluding the vote of shares owned by a "Related Person" (as
defined in Article FOURTEENTH).  The voting requirements contained in Article
NINTH, Article FOURTEENTH and this Article FIFTEENTH herein shall be in
addition to the voting requirements imposed by law, other provisions of this
Certificate of Incorporation or any Certificate of Designation of Preferences
in favor of certain classes or series of classes of shares of the Corporation.

         SIXTEENTH:    The Corporation reserves the right to amend, alter,
change or repeal any provisions contained in this Certificate of Incorporation,
in the manner now or hereafter prescribed by statute, and all rights conferred
upon stockholders herein are granted subject to this reservation.
Notwithstanding the foregoing, the provisions set forth in Articles NINTH,
TENTH, TWELFTH, THIRTEENTH, FOURTEENTH and FIFTEENTH may not be repealed or
amended in any respect unless such repeal or amendment is approved as specified
in Article FIFTEENTH herein.





                                      -6-
<PAGE>   7
         THE UNDERSIGNED, being the incorporator hereinbefore named, for the
purpose of forming a corporation pursuant to the General Corporation Law of the
State of Delaware, does make this Certificate, hereby declaring and certifying
that this is my act and deed and the facts herein stated are true, and
accordingly have hereunto set my hand this 12th day of July, 1990.

                                                 /s/ Karen M. Nakfoor           
                                                 --------------------  
                                                   Karen M. Nakfoor





                                      -7-
<PAGE>   8
                             CERTIFICATE OF MERGER

         Pursuant to the provisions of Section 251 of the General Corporation
Law of the State of Delaware, the undersigned certifies as follows:

         1.    The names and states of incorporation of each of the constituent
corporations are as follows:

<TABLE>
<CAPTION>
               Name of Corporation                     State of Incorporation
               -------------------                     ----------------------
               <S>                                           <C>
                     KNAK CO.                                Delaware
               BJ Services Company                           Delaware
</TABLE>

         2.    A Plan and Agreement of Merger dated July 13, 1990, between KNAK
CO. and BJ Services Company (the "Plan and Agreement of Merger"), has been
approved, adopted, certified, executed and acknowledged by each of the
constituent corporations, in accordance with Section 251 of the General
Corporation Law of the State of Delaware.

         3.    The name of the surviving corporation is KNAK CO.

         4.    At the effective time of the merger, Article FIRST of the
Certificate of Incorporation of KNAK CO. shall be amended to read in its
entirety as follows:

                     "The name of the Corporation is:

                     BJ SERVICES COMPANY."

         5.    The executed Plan and Agreement of Merger is on file at the
principal place of business of the surviving corporation at the following
address:  5500 N.W. Central Drive, Houston, Texas 77210-4442.

         6.    A copy of the Plan and Agreement of Merger will be furnished by
the surviving corporation, on request and without cost, to any stockholder of
KNAK CO. or BJ Services Company.

         Dated as of July 13, 1990.


                                          KNAK CO.

                                          By:    /s/ George E. Cash  
                                             ------------------------------
                                             George E. Cash, Vice President

ATTEST:

/s/ Matthew D. Fitzgerald         
----------------------------------
   Matthew D. Fitzgerald,
         Secretary






                                      -1-
<PAGE>   9
                              BJ SERVICES COMPANY

                         CERTIFICATE OF DESIGNATION OF
                SERIES ONE JUNIOR PARTICIPATING PREFERRED STOCK

             Pursuant to Section 151 of the General Corporation Law
                            of the State of Delaware

         BJ SERVICES COMPANY, a corporation organized and existing under the
General Corporation Law of the State of Delaware (hereinafter, the
"Corporation"), DOES HEREBY CERTIFY that, by the unanimous written consent of
the Board of Directors of the Corporation dated July 13, 1990, the following
resolution was adopted pursuant to Section 151 of the General Corporation Law
of the State of Delaware:

         WHEREAS, Article FOURTH of the Certificate of Incorporation of this
Corporation authorizes 45,000,000 shares of capital stock, consisting of
5,000,000 shares of preferred stock, with par value of $1.00 per share (the
"Preferred Stock"), issuable from time to time in one or more series and
40,000,000 shares of common stock, with par value of $.10 per share (the
"Common Stock"), issuable from time to time; and

         WHEREAS, pursuant to Article FOURTH of the Certificate of
Incorporation of this Corporation, the Board of Directors of this Corporation
is authorized to fix the designations, powers, preferences and relative,
participating, optional or other special rights, if any, and qualifications,
limitations or restrictions thereof, of any wholly unissued series of Preferred
Stock, and to fix the number of shares constituting such series, and to
increase or decrease the number of shares of any such series (but not below the
number of shares thereof then outstanding); and

         WHEREAS, it is the desire of the Board of Directors of this
Corporation, pursuant to its authority as aforesaid, to issue a series of
Preferred Stock and to fix the rights, preferences, restrictions and other
matters relating thereto;

         NOW, THEREFORE, BE IT RESOLVED, that the Board of Directors does
hereby establish a series of Preferred Stock of this Corporation and does
hereby fix and determine the rights, preferences, restrictions and other
matters relating to said series of Preferred Stock, as follows:

         Section 1. Title of Series and Ranking.  The shares of such series
shall be designated as "Series One Junior Participating Preferred Stock."  The
Series One Junior Participating Preferred Stock shall rank junior to all other
series of the Corporation's Preferred Stock as to the payment of dividends and
the distribution of assets, unless the terms of any such series shall provide
otherwise.

         Section 2. Number of Shares in Series.  The number of shares which
shall constitute such Series shall be 400,000.





                                      -1-
<PAGE>   10
         Section 3. Dividends and Distributions.

         (A)    Subject to the prior and superior rights of the holders of any
shares of any series of Preferred Stock ranking prior and superior to the
shares of Series One Junior Participating Preferred Stock with respect to
dividends, the holders of shares of Series One Junior Participating Preferred
Stock shall be entitled to receive, when, as and if declared by the Board of
Directors out of funds legally available for the purpose, quarterly dividends
payable in cash on the thirtieth day of March, June, September and December, or
such earlier date within each such calendar quarter determined from time to
time by the Board of Directors (each such date being referred to herein as a
"Quarterly Dividend Payment Date"), commencing on the first Quarterly Dividend
Payment Date after the first issuance of a share or fraction of a share of
Series One Junior Participating Preferred Stock, in an amount per share
(rounded to the nearest cent) equal to the greater of (a) $.25 or (b) subject
to the provision for adjustment hereinafter set forth, 100 times the aggregate
per share amount of all cash dividends, and 100 times the aggregate per share
amount (payable in kind) of all non-cash dividends or other distributions other
than a dividend payable in shares of Common Stock or a subdivision of the
outstanding shares of Common Stock (by reclassification or otherwise), declared
on the Common Stock since the immediately preceding Quarterly Dividend Payment
Date, or, with respect to the first Quarterly Dividend Payment Date, since the
first issuance of any share or fraction of a share of Series One Junior
Participating Preferred Stock.  In the event the Corporation shall at any time
after July 16, 1990 (the "Rights Declaration Date") (i) declare any dividend on
Common Stock payable in shares of Common Stock, (ii) subdivide the outstanding
Common Stock, or (iii) combine the outstanding Common Stock into a smaller
number of shares, then in each such case the amount to which holders of shares
of Series One Junior Participating Preferred Stock were entitled immediately
prior to such event under clause (a) and clause (b) of the preceding sentence
shall be adjusted by multiplying each such amount by a fraction the numerator
of which is the number of shares of Common Stock outstanding immediately after
such event and the denominator of which is the number of shares of Common Stock
that were outstanding immediately prior to such event.

         (B)    The Corporation shall declare a dividend or distribution on the
Series One Junior Participating Preferred Stock as provided in paragraph (A)
above immediately after it declares a dividend or distribution on the Common
Stock (other than a dividend payable in shares of Common Stock); provided that,
in the event no dividend or distribution shall have been declared on the Common
Stock during the period between any Quarterly Dividend Payment Date and the
next subsequent Quarterly Dividend Payment Date, a dividend of $.25 per share
as such amount may be adjusted pursuant to the last sentence of the preceding
paragraph on the Series One Junior Participating Preferred Stock shall
nevertheless be payable on such subsequent Quarterly Dividend Payment Date.

         (C)    Dividends shall begin to accrue and be cumulative on
outstanding shares of Series One Junior Participating Preferred Stock from the
Quarterly Dividend Payment Date next preceding the date of issue of such shares
of Series One Junior Participating Preferred Stock, unless the date of issue of
such shares is prior to the record date for the first Quarterly Dividend
Payment Date, in which case dividends on such shares shall begin to accrue from
the date of issue of such shares, or





                                      -2-
<PAGE>   11
unless the date of issue is a Quarterly Dividend Payment Date or is a date
after the record date for the determination of holders of shares of Series One
Junior Participating Preferred Stock entitled to receive a quarterly dividend
and before such Quarterly Dividend Payment Date, in either of which events such
dividends shall begin to accrue and be cumulative from such Quarterly Dividend
Payment Date.  Accrued but unpaid dividends shall not bear interest.  Dividends
paid on the shares of Series One Junior Participating Preferred Stock in an
amount less than the total amount of such dividends at the time accrued and
payable on such shares shall be allocated pro rata on a share-by-share basis
among all such shares at the time outstanding.  The Board of Directors may fix
a record date for the determination of holders of shares of Series One Junior
Participating Preferred Stock entitled to receive payment of a dividend or
distribution declared thereon, which record date shall be no more than 30 days
prior to the date fixed for the payment thereof.

         Section 4. Liquidation, Dissolution or Winding Up.

         (A)    Upon any voluntary liquidation, dissolution or winding up of
the Corporation, no distribution shall be made to the holders of shares of
stock ranking junior (either as to dividends or upon liquidation, dissolution
or winding up) to the Series One Junior Participating Preferred Stock unless
prior thereto, the holders of shares of Series One Junior Participating
Preferred Stock shall have received $100 per share, plus an amount equal to
accrued and unpaid dividends and distributions thereof, whether or not
declared, to the date of such payment (the "Series One Liquidation
Preference"). Following the payment of the full amount of the Series One
Liquidation Preference, no additional distribution shall be made to the holders
of shares of Series One Junior Participating Preferred Stock unless, prior
thereto, the holders of shares of Common Stock shall have received an amount
per share (the "Common Adjustment") equal to the quotient obtained by dividing
(i) the Series One Liquidation Preference by (ii) 100 appropriately adjusted as
set forth in subparagraph C below to reflect such events as stock splits, stock
dividends and recapitalizations with respect to the Common Stock) (such number
in clause (ii), the "Adjustment Number").  Following the payment of the full
amount of the Series One Liquidation Preference and the Common Adjustment in
respect of all outstanding shares of Series One Junior Participating Preferred
Stock and Common Stock, respectively, holders of Series One Junior
Participating Preferred Stock and holders of shares of Common Stock shall
receive their ratable and proportionate share of the remaining assets to be
distributed in the ratio of the Adjustment Number to 1 with respect to such
Preferred Stock and Common Stock, on a per share basis, respectively.

         (B)    In the event, however, that there are not sufficient assets
available to permit payment in full of the Series One Liquidation Preference
and the liquidation preferences of all other series of preferred stock, if any,
which rank on a parity with the Series One Junior Participating Preferred
Stock, then such remaining assets shall be distributed ratably to the holders
of such parity shares in proportion to their respective liquidation
preferences.  In the event, however, that there are not sufficient assets
available to permit payment in full of the Common Adjustment, then such
remaining assets shall be distributed ratably to the holders of Common Stock.





                                      -3-
<PAGE>   12
         (C)    In the event the corporation shall at any time after the Rights
Declaration Date (i) declare any dividend on Common Stock payable in shares of
Common Stock, (ii) subdivide the outstanding Common Stock, or (iii) combine the
outstanding Common Stock into a smaller number of shares, then in each such
case the Adjustment Number in effect immediately prior to such event shall be
adjusted by multiplying such Adjustment Number by a fraction the numerator of
which is the number of shares of Common Stock outstanding immediately after
such event and the denominator of which is the number of shares of Common Stock
that were outstanding immediately prior to such event.

         Section 5. No Redemption.  The shares of Series One Junior
Participating Preferred Stock shall not be redeemable.

         Section 6. Voting Rights.  The holders of shares of Series One Junior
Participating Preferred Stock shall have the following voting rights:

         (A)    Subject to the provision for adjustment hereinafter set forth
and subject to the provisions in paragraph C below, each share of Series One
Junior Participating Preferred Stock shall entitle the holder thereof to 100
votes on all matters submitted to a vote of the stockholders of the
Corporation.  In the event the Corporation shall at any time after the Rights
Declaration Date (i) declare any dividend on Common Stock payable in shares of
Common Stock, (ii) subdivide the outstanding Common Stock, or (iii) combine the
outstanding Common Stock into a smaller number of shares, then in each such
case the number of votes per share to which holders of shares of Series One
Junior Participating Preferred Stock were entitled immediately prior to such
event shall be adjusted by multiplying such number by a fraction the numerator
of which is the number of shares of Common Stock outstanding immediately after
such event and the denominator of which is the number of shares of Common Stock
that were outstanding immediately prior to such event.

         (B)    Except as otherwise provided herein or by law, the holders of
shares of Series One Junior Participating Preferred Stock and the holders of
shares of Common Stock shall vote together as one class on all matters
submitted to a vote of stockholders of the Corporation.

         (C)    If, on the date used to determine stockholders of record for
any meeting of stockholders of the Corporation for the election of directors,
the equivalent of six full quarterly dividends payable on the Series One Junior
Participating Preferred Stock shall be accrued and unpaid, the holders of the
Series One Junior Participating Preferred Stock voting as a class together with
all other holders of Preferred Stock, the terms of which expressly provide
similar voting rights, will, to the exclusion of the holders of Common Stock
and such other series of Preferred Stock not given a class voting right with
the Series One Junior Participating Preferred Stock with respect thereto, be
entitled to elect, at such meeting and subsequent meetings of stockholders held
for the purpose of electing directors, a total of two directors, to be
distributed among the several classes of directors as nearly equally as
possible.  Upon election, such directors shall become additional directors of
the Corporation and the authorized number of directors of the Corporation shall
thereupon be automatically increased by such number of directors.  Such right
to elect directors shall continue until





                                      -4-
<PAGE>   13
all accrued dividends on all such shares of Series One Junior Participating
Preferred Stock shall have been paid for all past dividend periods.  When all
accrued dividends on Series One Junior Participating Preferred Stock have been
paid for all past dividend periods, the right of the holders of Series One
Junior Participating Preferred Stock to elect such number of directors shall
cease, the term of such directors shall thereupon terminate, and the authorized
number of directors of the Corporation shall thereupon return to the number of
authorized directors otherwise in effect, but subject always to the same
provisions for the vesting of such special voting rights in the case of any
such future dividend default or defaults.  The fact that dividends have been
paid as required by the preceding sentence shall be evidenced by a certificate
executed by the President and the Chief Financial Officer of the Corporation
and delivered to the Board of Directors.  The directors so elected by holders
of Series One Junior Participating Preferred Stock shall serve until the
certificate described in the preceding sentence shall have been delivered to
the Board of Directors or until their respective successors shall be elected or
appointed and qualify.

         Except as otherwise provided by law, at all meetings of the holders of
Series One Junior Participating Preferred Stock to elect or remove directors
pursuant to the terms of this subparagraph (C) each share of Series One Junior
Participating Preferred Stock entitled to vote thereat shall be entitled to one
vote per share.  Each director elected by the holders of the shares of Series
One Junior Participating Preferred Stock and by the holders of shares of
Preferred Stock the terms of which provide similar voting rights (herein called
a "Preferred Director") may be removed by, and shall not be removed except by,
the vote of the holders of record of the majority of the outstanding shares of
Series One Junior Participating Preferred Stock (and other Preferred Stock) who
are at the time of such vote entitled to vote for the election of Preferred
Directors pursuant to the terms of this subparagraph (C), voting together as a
single class without regard to series, at a meeting of the stockholders, or of
the holders of such shares of stock, called for that purpose.  So long as a
default in any preferred dividends on Preferred Stock shall exist (i) any
vacancy in the office of a Preferred Director may be filled (except as provided
in the following clause (ii) by any instrument in writing signed by the
remaining Preferred Director and filed with the Corporation and (ii) in the
case of the removal of any Preferred Director, the vacancy may be filled by the
vote of the holders of the majority of the outstanding shares of Series One
Junior Participating Preferred Stock and other Preferred Stock who are at the
time of such vote entitled to vote for the election of Preferred Directors
pursuant to the terms of this subparagraph (C), voting together as a single
class without regard to series, at the same meeting at which such removal shall
be voted.  Each director appointed as aforesaid by the remaining Preferred
Director shall be deemed, for all purposes hereof, to be a Preferred Director.

         (D)    Unless the vote or consent of the holders of a greater number
of shares shall be then required by law, so long as any shares of Series One
Junior Participating Preferred Stock are outstanding, the Corporation will not,
without the affirmative vote or consent of at least 2/3 of the outstanding
shares of Series One Junior Participating Preferred Stock, voting as a separate
class, amend any of the provisions of its Certificate of Incorporation
(including any Certificate of Designation relating to any series of Preferred
Stock) so as to affect adversely the powers, preferences or special rights of
the Convertible Preferred Stock.





                                      -5-
<PAGE>   14
         The increase of the authorized amount of the Preferred Stock or Common
Stock, or the creation, authorization or issuance of any stock which ranks
junior to or on a parity with the Series One Junior Participating Preferred
Stock, or the reclassification of any authorized or outstanding stock of the
Corporation (other than the Series One Junior Participating Preferred Stock)
into any such junior or parity stock, or the creation, authorization or
issuance of any obligation or security convertible into or evidencing the right
to purchase any such junior Stock or parity Stock or the limitation or
qualification of the Corporation's right to redeem or repurchase shares of
Series One Junior Participating Preferred Stock or to take any other actions,
including without limitation, mergers, consolidations or the matters covered by
the preceding provisions of this paragraph, shall not be deemed, for purposes
of this subparagraph (D), to affect adversely the powers, preferences or
special rights of the Series One Junior Participating Preferred Stock
regardless of any financial or other effect on the Series One Junior
Participating Preferred Stock resulting therefrom.

         (E)    Unless the vote of the holders of a greater number of shares
shall then be required by law, so long as any shares of Series One Junior
Participating Preferred Stock are outstanding, the Corporation will not,
without the affirmative vote of the holders of at least a majority of all of
the outstanding shares of Series One Junior Participating Preferred Stock,
merge or consolidate with or into any other corporation if such merger or
consolidation would adversely affect the powers, preferences or rights of the
Series One Junior Participating Preferred Stock expressly set forth herein.

         (F)    Except as set forth herein, holders of Series One Junior
Participating Preferred Stock shall have no special voting rights and their
consent shall not be required (except to the extent they are entitled to vote
with holders of Common Stock as set forth herein) for taking any corporate
action.

         Section 7. Certain Restrictions.

         (A)    Whenever quarterly dividends or other dividends or
distributions payable on the Series One Junior Participating Preferred Stock as
provided in Section 3 are in arrears, thereafter and until all accrued and
unpaid dividends and distributions, whether or not declared, on shares of
Series One Junior Participating Preferred Stock outstanding shall have been
paid in full, the Corporation shall not

                 (i)    declare or pay dividends on, make any other
         distributions on, or redeem or purchase or otherwise acquire for
         consideration any shares of stock ranking junior (either as to
         dividends or upon liquidation, dissolution or winding up) to the
         Series One Junior Participating Preferred Stock;

                 (ii)    declare or pay dividends on or make any other
         distributions on any shares of stock ranking on a parity (either as to
         dividends or upon liquidation, dissolution or winding up) with the
         Series One Junior Participating Preferred Stock, except dividends paid
         ratably on the Series One Junior Participating Preferred Stock





                                      -6-
<PAGE>   15
         and all such parity stock on which dividends are payable or in arrears
         in proportion to the total amounts to which the holders of all such
         shares are then entitled;

                 (iii)    redeem or purchase or otherwise acquire for
         consideration shares of any stock ranking on a parity (either as to
         dividends or upon liquidation, dissolution or winding up) with the
         Series One Junior Participating Preferred Stock, provided that the
         Corporation may at any time redeem, purchase or otherwise acquire
         shares of any such parity stock in exchange for shares of any stock of
         the Corporation ranking junior (either as to dividends or upon
         dissolution, liquidation or winding up) to the Series One Junior
         Participating Preferred Stock;

                 (iv)    purchase or otherwise acquire for consideration any
         shares of Series One Junior Participating Preferred Stock, or any
         shares of stock ranking on a parity with the Series One Junior
         Participating Preferred Stock, except in accordance with a purchase
         offer made in writing or by publication (as determined by the Board of
         Directors) to all holders of such shares upon such terms as the Board
         of Directors, after consideration of the respective annual dividend
         rates and other relative rights and preferences of the respective
         series and classes, shall determine in good faith will result in fair
         and equitable treatment among the respective series or classes.

         (B)    The Corporation shall not permit any subsidiary of the
Corporation to purchase or otherwise acquire for consideration any shares of
stock of the Corporation unless the Corporation could, under paragraph (A) of
this Section 7, purchase or otherwise acquire such shares at such time and in
such manner.

         Section 8. Consolidation, Mergers, etc.  In case the Corporation shall
enter into any consolidation, merger, combination or other transaction in which
the shares of Common Stock are exchanged for or changed into other stock or
securities, cash and/or any other property, then in any such case the shares of
Series One Junior Participating Preferred Stock shall at the same time be
similarly exchanged or changed in an amount per share (subject to the provision
for adjustment hereinafter set forth) equal to 100 times the aggregate amount
of stock, securities, cash and/or any other property (payable in kind), as the
case may be, into which or for which each share of Common Stock is changed or
exchanged.  In the event the Corporation shall at any time after the Rights
Declaration Date (i) declare any dividend on Common Stock payable in shares of
Common Stock, (ii) subdivide the outstanding Common Stock, or (iii) combine the
outstanding Common Stock into a smaller number of shares, then in each such
case the amount set forth in the preceding sentence with respect to the
exchange or change of shares of Series One Junior Participating Preferred Stock
shall be adjusted by multiplying such amount by a fraction the numerator of
which is the number of shares of Common Stock outstanding immediately after
such event and the denominator of which is the number of shares of Common Stock
that were outstanding immediately prior to such event.

         Section 9. Exclusion of Other Rights.  Except as may otherwise be
required by law, the shares of Series One Junior Participating Preferred Stock
shall not have any preferences or relative,





                                      -7-
<PAGE>   16
participating, optional or other special rights other than those specifically
set forth in this resolution (as such resolution may be amended from time to
time) and in the Certificate of Incorporation of the Corporation.

         Section 10.  Heading of Subdivision.  The headings of the various
subdivisions hereof are for convenience of reference only and shall not affect
the interpretation of any of the provisions hereof.

         Section 11.  Severability of Provisions.  If any right, preference or
limitation of the Series One Junior Participating Preferred Stock set forth in
this resolution (as such resolutions may be amended from time to time) is
invalid, unlawful, or incapable of being enforced by reason of any rule of law
or public policy, all other rights, preferences and limitations set forth in
this resolution (as so amended) which can be given effect without the invalid,
unlawful or unenforceable right, preference or limitation shall, nevertheless,
remain in full force and effect, and no right, preference or limitation herein
set forth shall be deemed dependent upon any other such right, preference or
limitation unless so expressed herein.

         Section 12.  Status of Reacquired Shares.  Shares of the Series One
Junior Participating Preferred Stock which have been issued and reacquired in
any manner shall (upon compliance with any applicable provisions of the laws of
the State of Delaware) have the status of authorized and unissued shares of the
class of Preferred Stock issuable in series, undesignated as to series, and may
be redesignated and reissued.

         Section 13.  Fractional Shares.  Series One Junior Participating
Preferred Stock may be issued in fractions of a share which shall entitle the
holder, in proportion to such holder's fractional shares, to exercise voting
rights, receive dividends, participate in distributions and to have the benefit
of all other rights of holders of Series One Junior Participating Preferred
Stock.

         IN WITNESS WHEREOF, the Corporation has caused its corporate seal to
be affixed and this certificate to be signed by George E. Cash, Vice President,
and attested to by Matthew D.  Fitzgerald, its Secretary, this 17th day of
July, 1990.



                                                   /s/ George E. Cash   
                                            ----------------------------------
                                                     George E. Cash
                                                     Vice President

[CORPORATE SEAL]

Attest:

/s/ Matthew D. Fitzgerald                
-----------------------------
    Matthew D. Fitzgerald
         Secretary






                                      -8-
<PAGE>   17
                                 ACKNOWLEDGMENT


         BE IT DEEMED that on this 17th day of July, 1990, personally came
before me, the undersigned, a Notary Public duly authorized to take
acknowledgment of deeds by the laws of the place where the foregoing
certificate was executed, George E. Cash and Matthew D. Fitzgerald, Vice
President and Secretary, respectively, of BJ Services Company, a corporation of
the State of Delaware, the corporation described in the foregoing certificate,
known to me personally to be such, and they duly executed said certificate
before me and acknowledged the said certificate to be their act and deed and
made on behalf of said corporation, and that the facts stated therein are true;
and that the signatures of said George E. Cash, Vice President and of the said
Matthew D. Fitzgerald, Secretary, of the said corporation to said foregoing
certificate are in their handwriting.

         GIVEN under my hand on July 17, 1990.


                                                /s/ Pat Montgomery             
                                             --------------------------      
                                                   Notary Public





                                      -9-
<PAGE>   18
                           CERTIFICATE OF DESIGNATION
                                       OF
                SERIES TWO JUNIOR PARTICIPATING PREFERRED STOCK

                                       OF

                              BJ SERVICES COMPANY

             PURSUANT TO SECTION 151 OF THE GENERAL CORPORATION LAW
                            OF THE STATE OF DELAWARE

         BJ SERVICES COMPANY, a corporation organized and existing under the
laws of the State of Delaware (the "Company"), DOES HEREBY CERTIFY that, at a
meeting of the Company's Board of Directors duly called and held on January 5,
1994 at which a quorum was present and acting throughout, the following
resolutions were adopted pursuant to Section 151 of the Delaware General
Corporation Law (the "Delaware Act").

         WHEREAS, Article FOURTH of the Company's Certificate of Incorporation,
as amended (the "Charter") authorizes 45,000,000 shares of capital stock,
consisting of 5,000,000 shares of preferred stock, par value $1.00 per share
(the "Preferred Stock"), issuable from time to time in one or more series, and
40,000,000 shares of common stock, par value $0.10 per share (the "Common
Stock"), issuable from time to time; and

         WHEREAS, in accordance with Section 151 of the Delaware Act and
pursuant to Article FOURTH of the Charter, the Company's Board of Directors is
authorized to fix the designations, powers, preferences and relative,
participating, optional or other special rights, if any, and qualifications,
limitations or restrictions thereof, of any wholly unissued series of Preferred
Stock, and to fix the number of shares constituting such series, and to
increase or decrease the number of shares of any such series (but not below the
number of shares thereof then outstanding); and





                                      -1-
<PAGE>   19
         WHEREAS, it is the desire of the Company's Board of Directors of this
Corporation, in accordance with the authority conferred upon it as described
above, to issue a series of Preferred Stock and to fix the rights, preferences,
restrictions and other matters relating thereto;

         NOW, THEREFORE, BE IT RESOLVED, that the Board of Directors does
hereby establish a series of Preferred Stock of this Company and does hereby
fix and determine the rights, preferences, restrictions and other matters
relating to said series of Preferred Stock, as follows:

         Section 1. Designation and Amount.  The shares of such series shall be
designated as "Series Two Junior Participating Preferred Stock" ("Series Two
Preferred Stock") and the number of shares constituting such series shall be
400,000. Such number of shares may be adjusted by appropriate action of the
Board of Directors.

         Section 2. Dividends and Distribution.

         (A)    Subject to the provisions for adjustment hereinafter set forth,
the holders of shares of Series Two Preferred Stock shall be entitled to
receive, when, as and if declared by the Board of Directors out of funds
legally available for the purpose, (i) cash dividends in an amount per share
(rounded to the nearest cent) equal to 100 times the aggregate per share amount
of all cash dividends contemporaneously declared on the Company's Common Stock,
par value $0.10 per share ("Common Stock"), and (ii) a preferential cash
dividend ("Preferential Dividends"), if any, on the tenth day of March, June,
September and December of each year (each a "Quarterly Dividend Payment Date"),
commencing on the first Quarterly Dividend Payment Date after the first
issuance of a share or fraction of a share of Series Two Preferred Stock, in an
amount equal to $1.00 per share of Series Two Preferred Stock less the per
share amount of all cash dividends declared on the Series Two Preferred Stock
pursuant to clause (i) of this sentence since the immediately preceding 
Quarterly 





                                      -2-
<PAGE>   20
Dividend Payment Date or, with respect to the first Quarterly Dividend Payment
Date, since the first issuance of any share or fraction of a share of Series
Two Preferred Stock.  In the event the Company shall, at any time after the
issuance of any share or fraction of a share of Series Two Preferred Stock,
make any distribution on the shares of Common Stock of the Company, whether by
way of a dividend or a reclassification of stock, a recapitalization,
reorganization or partial liquidation of the Company or otherwise, which is
payable in cash or any debt security, debt instrument, real or personal
property or any other property (other than cash dividends subject to the
immediately preceding sentence and other than a distribution of shares of
Common Stock or other capital stock of the Company and other than a
distribution of rights or warrants to acquire any such share, including any
debt security convertible into or exchangeable for any such share, at a price
less than the Current Market Price of such share), then and in each such event
the Company shall simultaneously pay on each then outstanding share of Series
Two Preferred Stock of the Company a distribution, in like kind, of 100 times
(subject to the provisions for adjustment hereinafter set forth) such
distribution paid on a share of Common Stock.  The dividends and distributions
on the Series Two Preferred Stock to which holders thereof are entitled
pursuant to clause (i) of the first sentence of this paragraph and pursuant to
the second sentence of this paragraph are hereinafter referred to as
"Participating Dividends" and the multiple of such cash and non-cash dividends
on the Common Stock applicable to the determination of the Participating
Dividends, which shall be 100 initially but shall be adjusted from time to time
as hereinafter provided, is hereinafter referred to as the "Dividend Multiple."
In the event the Company shall at any time after January 17, 1994 declare or
pay any dividend or make any distribution on Common Stock payable in shares of
Common Stock, or effect a subdivision or split or a combination, consolidation
or reverse split of the outstanding shares of Common Stock into a





                                      -3-
<PAGE>   21
greater or lesser number of shares of Common Stock, then in each such case the
Dividend Multiple thereafter applicable to the determination of the amount of
Participating Dividends which holders of shares of Series Two Preferred Stock
shall be entitled to receive shall be the Dividend Multiple applicable
immediately prior to such event multiplied by a fraction, of which the
numerator is the number of shares of Common Stock outstanding immediately after
such event and of which the denominator is the number of shares of Common Stock
that were outstanding immediately prior to such event.

         (B)    The Company shall declare each Participating Dividend at the
same time it declares any cash or non-cash dividend or distribution on the
Common Stock in respect of which a Participating Dividend is required to be
paid.  No cash or non-cash dividend or distribution on the Common Stock in
respect of which a Participating Dividend is required to be paid shall be paid
or set aside for payment on the Common Stock unless a Participating Dividend in
respect of such dividend or distribution on the Common Stock shall be
simultaneously paid, or set aside for payment, on the Series Two Preferred
Stock.

         (C)    Preferential Dividends shall begin to accrue on outstanding
shares of Series Two Preferred Stock from the Quarterly Dividend Payment Date
next preceding the date of issuance of any shares of Series Two Preferred
Stock.  Accrued but unpaid Preferential Dividends shall cumulate but shall not
bear interest.  Preferential Dividends paid on the shares of Series Two
Preferred Stock in an amount less than the total amount of such dividends at
the time accrued and payable on such shares shall be allocated pro rata on a
share-by-share basis among all such shares at the time outstanding.





                                      -4-
<PAGE>   22
         Section 3. Voting Rights.  The holders of shares of Series Two
Preferred Stock shall have the following voting rights:

         (A)    Subject to the provisions for adjustment hereinafter set forth,
each share of Series Two Preferred Stock shall entitle the holder thereof to
100 votes on all matters submitted to a vote of the stockholders of the
Company.  The number of votes which a holder of Series Two Preferred Stock is
entitled to cast, as the same may be adjusted from time to time as hereinafter
provided, is hereinafter referred to as the "Vote Multiple."  In the event the
Company shall at any time after January 17, 1994 declare or pay any dividend on
Common Stock payable in shares of Common Stock, or effect a subdivision or
split or a combination, consolidation or reverse split of the outstanding
shares of Common Stock into a greater or lesser number of shares of Common
Stock, then in each such case the Vote Multiple thereafter applicable to the
determination of the number of votes per share to which holders of shares of
Series Two Preferred Stock shall be entitled after such event shall be the Vote
Multiple immediately prior to such event multiplied by a fraction, of which the
numerator is the number of shares of Common Stock outstanding immediately after
such event and of which the denominator is the number of shares of Common Stock
that were outstanding immediately prior to such event.

         (B)    Except as otherwise provided herein or by law, the holders of
shares of Series Two Preferred Stock and the holders of shares of Common Stock
shall vote together as one class on all matters submitted to a vote of
stockholders of the Company.

         (C)    In the event that the Preferential Dividends accrued on the
Series Two Preferred Stock for six or more quarterly dividend periods, whether
consecutive or not, shall not have been declared and paid or set apart for
payment, the holders of record or preferred stock of the Company of all





                                      -5-
<PAGE>   23
series (including the Series Two Preferred Stock), other than any series in
respect of which the right is expressly withheld by the Certificate of
Incorporation or the authorizing resolutions included in the Certificate of
Designation therefor, shall have the right, at the next meeting of stockholders
called for the election of directors, to elect two members to the Board of
Directors, which directors shall be in addition to the number required by the
Company's bylaws as in effect prior to such event, to serve until the next
annual meeting of the stockholders and until their successors are elected and
qualified or their earlier resignation, removal or incapacity or until such
earlier time as all accrued and unpaid Preferential Dividends upon the
outstanding shares of Series Two Preferred Stock shall have been paid (or set
aside for payment) in full.  The holders of shares of Series Two Preferred
Stock shall continue to have the right to elect directors as provided by the
immediately preceding sentence until all accrued and unpaid Preferential
Dividends upon the outstanding shares of Series Two Preferred Stock shall have
been paid (or set aside for payment) in full.  Such directors may be removed
and replaced by such stockholders, and vacancies in such directorships may be
filled only by such stockholders (or by the remaining director elected by such
stockholders, if there be one) in the manner permitted by law; provided,
however, that any such action by stockholders shall be taken at a meeting of
stockholders and shall not be taken by written consent thereof.

         (D)    Except as otherwise required by law or set forth herein,
holders of Series Two Preferred Stock shall have no special voting rights and
their consent shall not be required (except to the extent they are entitled to
vote with holders of Common Stock as set forth herein) for the taking of any
corporate action.





                                      -6-
<PAGE>   24
         Section 4. Certain Restrictions.

         (A)    Whenever Preferential Dividends or Participating Dividends are
in arrears or the Company shall be in default of payment thereof, thereafter
and until all accrued and unpaid Preferential Dividends and Participating
Dividends, whether or not declared, on shares of Series Two Preferred Stock
outstanding shall have been paid or set aside for payment in full, and in
addition to any and all other rights which any holder of shares of Series Two
Preferred Stock may have in such circumstances, the Company shall not:

                  (i)    declare or pay dividends on, make any other
         distributions on, or redeem or purchase or otherwise acquire for
         consideration any shares of stock ranking junior (either as to
         dividends or upon liquidation, dissolution or winding up) to, the
         Series Two Preferred Stock;

                  (ii)    declare or pay dividends on or make any other
         distributions on any shares of stock ranking on a parity as to
         dividends with the Series Two Preferred Stock, unless dividends are
         paid ratably on the Series Two Preferred Stock and all such parity
         stock on which dividends are payable or in arrears in proportion to
         the total amounts to which the holders of all such shares are then
         entitled;

                  (iii)    except as permitted by sub-clause (iv) of this
         Section 4(A), redeem or purchase or otherwise acquire for
         consideration shares of any stock ranking on a parity (either as to
         dividends or upon liquidation, dissolution or winding up) with the
         Series Two Preferred Stock, provided that the Company may at any time
         redeem, purchase or otherwise acquire shares of any such parity stock
         in exchange for shares





                                      -7-
<PAGE>   25
         of any stock of the Company ranking junior (both as to dividends and
         upon liquidation, dissolution or winding up) to the Series Two
         Preferred Stock; or

                  (iv)    purchase or otherwise acquire for consideration any
         shares of Series Two Preferred Stock, or any shares of stock ranking
         on a parity with the Series Two Preferred Stock (either as to
         dividends or upon liquidation, dissolution or winding up), except in
         accordance with a purchase offer made in writing or by publication (as
         determined by the Board of Directors) to all holders of such shares
         upon such terms as the Board of Directors, after consideration of the
         respective annual dividend rates and other relative rights and
         preferences of the respective series and classes, shall determine in
         good faith will result in fair and equitable treatment among the
         respective series or classes.

         (B)    The Company shall not permit any subsidiary of the Company to
purchase or otherwise acquire for consideration any shares of stock of the
Company unless the Company could, in accordance with Section 4(A), purchase or
otherwise acquire such shares at such time and in such manner.

         (C)    The Company shall not issue any shares of Series Two Preferred
Stock except upon exercise of rights issued pursuant to that certain Rights
Agreement dated as of January 17, 1994 between the Company and First Chicago
Trust Company of New York, a copy of which is on file with the Secretary of the
Company at its principal executive office and shall be made available to
stockholders of record without charge upon written request therefor addressed
to the Secretary. Notwithstanding the foregoing sentence, nothing contained in
the provisions hereof shall prohibit or





                                      -8-
<PAGE>   26
restrict the Company from issuing for any purpose any series of preferred stock
with rights and privileges similar to, different from, or greater than, those
of the Series Two Preferred Stock.

         Section 5. Reacquired Shares.  Any shares of Series Two Preferred
Stock purchased or otherwise acquired by the Company in any manner whatsoever
shall be retired and cancelled promptly after the acquisition thereof. The
Company shall cause all such shares upon their retirement and cancellation to
become authorized but unissued shares of preferred stock, without designation
as to series, and such shares may be reissued as part of a new series of
preferred stock to be created by resolution or resolutions of the Board of
Directors.

         Section 6. Liquidation, Dissolution or Winding Up.  Upon any voluntary
or involuntary liquidation, dissolution or winding up of the Company, no
distribution shall be made (i) to the holders of shares of stock ranking junior
(either as to dividends or upon liquidation, dissolution or winding up) to the
Series Two Preferred Stock unless the holders of shares of Series Two Preferred
Stock shall have received, subject to adjustment as hereinafter provided, (A)
$1.00 per share plus an amount equal to accrued and unpaid dividends and
distributions thereon, whether or not declared, to the date of such payment, or
(B) if greater than the amount specified in clause (i)(A) of this sentence, the
amount equal to 100 times the aggregate amount to be distributed per share to
holders of Common Stock, or (ii) to the holders of stock ranking on a parity
upon liquidation, dissolution or winding up with the Series Two Preferred
Stock, unless simultaneously therewith distributions are made ratable on the
Series Two Preferred Stock and all other shares of such parity stock in
proportion to the total amounts to which the holders of shares of Series Two
Preferred Stock are entitled under clause (i)(A) of this sentence and to which
the holders of such parity shares are entitled, in each case upon such
liquidation, dissolution or winding up. The amount to which holders of Series
Two Preferred Stock





                                      -9-
<PAGE>   27
may be entitled upon liquidation, dissolution or winding up of the Company
pursuant to clause (i)(B) of the immediately preceding sentence is hereinafter
referred to as the "Participating Liquidation Amount" and the multiple of the
amount to be distributed to holders of shares of Common Stock upon the
liquidation, dissolution or winding up of the Company applicable pursuant to
such clause to the determination of the Participating Liquidation Amount, as
such multiple may be adjusted from time to time as hereinafter provided, is
hereinafter referred to as the "Liquidation Multiple."  In the event the
Company shall at any time after January 17, 1994 declare or pay any dividend on
Common Stock payable in shares of Common Stock, or effect a subdivision or
split or a combination, consolidation or reverse split of the outstanding
shares of Common Stock into a greater or lesser number of shares than of Common
Stock, then in each such case the Liquidation Multiple thereafter applicable to
the determination of the Participating Liquidation Amount to which holders of
Series Two Preferred Stock shall be entitled after such event shall be the
Liquidation Multiple applicable immediately prior to such event multiplied by a
fraction, of which the numerator is the number of shares of Common Stock
outstanding immediately after such event and of which the denominator is the
number of shares of Common Stock that were outstanding immediately prior to
such event.

         Section 7. Certain Reclassifications and Other Events.

         (A)    In the event that holders of shares of Common Stock of the
Company receive after January 17, 1994 in respect of their shares of Common
Stock any share of capital stock of the Company (other than any share of Common
Stock of the Company), whether by way of reclassification, recapitalization,
reorganization, dividend or other distribution or otherwise ("Transaction"),
then and in each such event the dividend rights, voting rights and rights upon
the liquidation, dissolution or winding up of the Company of the shares of
Series Two Preferred Stock





                                      -10-
<PAGE>   28
shall be adjusted so that after such event the holders of Series Two Preferred
Stock shall be entitled, in respect of each share of Series Two Preferred Stock
held, in addition to such rights in respect thereof to which such holder was
entitled immediately prior to such adjustment, to (i) such additional dividends
as equal the Dividend Multiple in effect immediately prior to such Transaction
multiplied by the additional dividends which the holder of a share of Common
Stock shall be entitled to receive by virtue of the receipt in the transaction
of such capital stock, (ii) such additional voting rights as equal the Vote
Multiple in effect immediately prior to such Transaction multiplied by the
additional voting rights which the holder of a share of Common Stock shall be
entitled to receive by virtue of the receipt in the transaction of such capital
stock and (iii) such additional distributions upon liquidation, dissolution or
winding up of the Company as equal the Liquidation Multiple in effect
immediately prior to such transaction multiplied by the additional amount which
the holder of a share of Common Stock shall be entitled to receive upon
liquidation, dissolution or winding up of the Company by virtue of the receipt
in the Transaction of such capital stock, as the case may be, all as provided
by the terms of such capital stock.

         (B)    In the event that holders of shares of Common Stock of the
Company receive after January 17, 1994 in respect of their shares of Common
Stock any right or warrant to purchase Common Stock (including as such a right,
for all purposes of this paragraph, any security convertible into or
exchangeable for Common Stock) at a purchase price per share less than the
Current Market Price (as hereinafter defined) of a share of Common Stock on the
date of issuance of such right or warrant, then and in each such event the
dividend rights, voting rights and rights upon the liquidation, dissolution or
winding up of the Company of the shares of Series Two Preferred Stock shall
each be adjusted so that after such event the Dividend Multiple, the Vote
Multiple and the Liquidation





                                      -11-
<PAGE>   29
Multiple shall each be the product of the Dividend Multiple, the vote Multiple
and the Liquidation Multiple, as the case may be, in effect immediately prior
to such event multiplied by a fraction, of which the numerator shall be the
number of shares of Common Stock outstanding immediately before such issuance
of rights or warrants plus the maximum number of shares of Common Stock which
could be acquired upon exercise in full of all such rights or warrants and of
which the denominator shall be the number of shares of Common Stock outstanding
immediately before such issuance of rights or warrants plus the number of
shares of Common Stock which could be purchased, at the Current Market Price of
the Common Stock at the time of such issuance, by the maximum aggregate
consideration payable upon exercise in full of all such rights or warrants.

         (C)    In the event that holders of shares of Common Stock of the
Company receive after January 17, 1994 in respect of their shares of Common
Stock any right or warrant to purchase capital stock of the Company (other than
shares of common stock), including as such a right, for all purposes of this
paragraph, any security convertible into or exchangeable for capital stock of
the Company (other than Common Stock), at a purchase price per share less than
the Current Market Price of such shares of capital stock on the date of
issuance of such right or warrant, then and in each such event the dividend
rights, voting rights and rights upon liquidation, dissolution or winding up of
the Company of the shares of Series Two Preferred Stock shall each be adjusted
so that after such event each holder of a share of Series Two Preferred Stock
shall be entitled, in respect of each share of Series Two Preferred Stock held,
in addition to such rights in respect thereof to which such holder was entitled
immediately prior to such event, to receive (i) such additional dividends as
equal the Dividend Multiple in effect immediately prior to such event
multiplied, first, by the additional dividends to which the holder of a share
of Common Stock shall be entitled upon exercise of such





                                      -12-
<PAGE>   30
right or warrant by virtue of the capital stock which could be acquired upon
such exercise and multiplied again by the Discount Fraction (as hereinafter
defined) and (ii) such additional voting rights as equal the Vote Multiple in
effect immediately prior to such event multiplied, first, by the additional
voting rights to which the holder of a share of Common Stock shall be entitled
upon exercise of such right or warrant by virtue of the capital stock which
could be acquired upon such exercise and multiplied again by the Discount
Fraction and (iii) such additional distributions upon liquidation, dissolution
or winding up of the Company as equal the Liquidation Multiple in effect
immediately prior to such event multiplied, first, by the additional amount
which the holder of a share of Common Stock shall be entitled to receive upon
liquidation, dissolution or winding up of the Company upon exercise of such
right or warrant by virtue of the capital stock which could be acquired upon
such exercise and multiplied again by the Discount Fraction.  For purposes of
this paragraph, the "Discount Fraction" shall be a fraction, of which the
numerator shall be the difference between the Current Market (as hereinafter
defined) of a share of the capital stock subject to a right or warrant
distributed to holders of shares of Common Stock of the Company as contemplated
by this paragraph immediately after the distribution thereof and the purchase
price per share for such share of capital stock pursuant to such right or
warrant and of which the denominator shall be the Current Market Price of a
share of such capital stock immediately after the distribution of such right or
warrant.

         (D)    For purposes of this Section 7, the "Current Market Price" of a
share of capital stock of the Company (including a share of Common Stock) on
any date shall be deemed to be the average of the daily closing prices per
share thereof over the 30 consecutive Trading Days (as such term is hereinafter
defined) immediately prior to such date; provided, however, that, in the event
that such Current Market Price of any such share of capital stock is determined
during a period which includes





                                      -13-
<PAGE>   31
any date that is within 30 Trading Days after the ex-dividend date for (i) a
dividend or distribution on stock payable in shares of such stock or securities
convertible into shares of such stock, or (ii) any subdivision, split,
combination, consolidation, reverse stock split or reclassification of such
stock, then, and in each such case, the Current Market Price shall be
appropriately adjusted by the Board of Directors of the Company to reflect the
Current Market Price of such stock to take into account ex-dividend trading.
The closing price for any day shall be the last sale price, regular way, or, in
case no such sale takes place on such day, the average of the closing bid and
asked prices, regular way, in either case as reported in the principal
consolidated transaction reporting system with respect to securities listed or
admitted to trading on the New York Stock Exchange or, if the shares are not
listed or admitted to trading on the New York Stock Exchange, as reported in
the principal consolidated transaction reporting system with respect to
securities listed on the principal national securities exchange on which the
shares are listed or admitted to trading or, if the shares are not listed or
admitted to trading on any national securities exchange, the last quoted price
or, if not so quoted, the average of the high bid and low asked prices in the
over-the-counter market, as reported by the National Association of Securities
Dealers, Inc.  Automated Quotation System ("NASDAQ") or such other system then
in use, or if on any such date the shares are not quoted by any such
organization, the average of the closing bid and asked prices as furnished by a
professional market maker making a market in the shares selected by the Board
of Directors of the Company.  The term "Trading Day" shall mean a day on which
the principal national securities exchange on which the shares are listed or
admitted to trading is open for the transaction of business or, if the shares
are not listed or admitted to trading on any national securities exchange, on
which the New York Stock Exchange or such other national securities exchange as
may be selected by the Board of Directors of the Company





                                      -14-
<PAGE>   32
is open.  If the shares are not publicly held or not so listed or traded on any
day within the period of 30 Trading Days applicable to the determination of
current Market Price thereof as aforesaid, "Current Market Price" shall mean
the fair market value thereof per share as determined in good faith by the
Board of Directors of the Company.  In either case referred to in the foregoing
sentence, the determination of Current Market Price shall be described in a
statement filed with the Secretary of the Company.

         Section 8. Consolidation, Merger, Etc.  In case the Company shall enter
into any consolidation, merger, combination or other transaction in which the
shares of Common Stock are exchanged for or changed into other stock or
securities, cash and/or any other property, then in any such case each
outstanding share of Series Two Preferred Stock shall at the same time be
similarly exchanged for or changed into the aggregate amount of stock,
securities, cash and/or other property (payable in like kind), as the case may
be, for which or into which each share of Common Stock is changed or exchanged
multiplied by the highest of the Vote Multiple, the Dividend Multiple or the
Liquidation Multiple in effect immediately prior to such event.

         Section 9. Effective Time of Adjustments.

         (A)    Adjustments to the Series Two Preferred Stock required by the
provisions hereof shall be effective as of the time at which the event required
such adjustments occurs.

         (B)    The Company shall give prompt written notice to each holder of
a share of Series Two Preferred Stock of the effect of any adjustment to the
voting rights, dividend rights or rights upon liquidation, dissolution or
winding up of the Company of such shares required by the provisions hereof.
Notwithstanding the foregoing sentence, the failure of the Company to give such
notice shall not affect the validity of or the force or effect of or the
requirement for such adjustment.





                                      -15-
<PAGE>   33
         Section 10. No Redemption.  The shares of Series Two Preferred Stock
shall not be redeemable at the option of the Company or any holder thereof.
Notwithstanding the foregoing sentence of this Section, the Company may acquire
shares of Series Two Preferred Stock in any other manner permitted by law, the
provisions hereof and the Company's Charter.

         Section 11. Ranking.  Unless otherwise provided in the Charter or a
Certificate of Designation relating to a subsequent series of preferred stock
of the Company, the Series Two Preferred Stock shall rank junior to all other
series of the Company's preferred stock as to the payment of dividends and the
distribution of assets on liquidation, dissolution or winding up and senior to
the Common Stock.

         Section 12. Amendment.  The provisions hereof and of the Charter shall
not be amended in any manner which would materially affect the rights,
privileges or powers of the Series Two Preferred Stock without, in addition to
any other vote of stockholders required by law, the affirmative vote of the
holders of two-thirds or more of the outstanding shares of Series Two Preferred
Stock, voting together as a single class.

         IN WITNESS WHEREOF, we have executed and subscribed this Certificate
of Designation and do affirm the foregoing as true under the penalties of
perjury this 12th day of January, 1994.

                                               /s/ J. W. Stewart         
                                        ---------------------------------
                                                 J. W. Stewart
                                                 President and
                                            Chief Executive Officer

                                        
                                           /s/ Matthew D. Fitzgerald     
                                        ---------------------------------
                                             Matthew D. Fitzgerald
                                              Assistant Secretary
                                        




                                      -16-
<PAGE>   34
                              BJ SERVICES COMPANY

                           CERTIFICATE OF ELIMINATION
                                       OF
                    CERTIFICATE OF DESIGNATION OF SERIES ONE
                      JUNIOR PARTICIPATING PREFERRED STOCK


         BJ Services Company, a corporation organized and existing under the
General Corporation Law of the State of Delaware,

         DOES HEREBY CERTIFY:

         FIRST:  That at a meeting of the Board of Directors of BJ Services
Company, resolutions were duly adopted setting forth the proposed elimination
of the Series One Junior Participating Preferred Stock as set forth below:

                 RESOLVED FURTHER, that as none of the Series One Junior
         Participating  Preferred Stock authorized and designated pursuant to
         that certain Certificate of Designation dated as of July 1990, and
         attached as Exhibit A to the Current Rights Agreement, are currently
         outstanding and, as the Current Rights are being redeemed, none of
         such shares will be issued, the proper officers of the Company are
         hereby authorized and directed, for and on behalf of the Company and
         in its name, to file or cause to be filed in the State of Delaware
         such certificate or certificates reflecting such fact and cancelling
         such certificate of designation, and upon the filing of same the
         400,000 shares so designated as Series One Junior Participating
         Preferred Stock shall constitute authorized but unissued preferred
         shares subject to issuance in accordance with the Company's
         certificate of incorporation; and

         SECOND:  None of the authorized shares of the Series One Junior
Participating Preferred Stock are outstanding and none will be issued.

         THIRD:  In accordance with the provisions of Section 151 of the
General Corporation Law of the State of Delaware, the Certificate of
Incorporation of BJ Services Company is hereby amended to eliminate all
reference to the Series One Junior Participating Preferred Stock.

         IN WITNESS WHEREOF, said BJ Services Company has caused this
certificate to be signed by Michael McShane, its Vice-President and attested
by Margaret B. Shannon, its Secretary, this 19th day of April, 1994.


                                           BJ SERVICES COMPANY
                                           
                                           
                                           By:   /s/ Michael McShane      
                                               --------------------------
                                                    Vice-President

ATTEST:

By:  /s/ Margaret B. Shannon               
     ---------------------------
     Secretary






                                      -1-
<PAGE>   35


                              STATE OF DELAWARE
                                      
                       OFFICE OF THE SECRETARY OF STATE
                                      
                     ------------------------------------

        I, EDWARD J. FREEL, SECRETARY OF STATE OF THE STATE OF DELAWARE, DO
HEREBY CERTIFY THE ATTACHED IS A TRUE AND CORRECT COPY OF THE CERTIFICATE OF
DESIGNATION OF "BJ SERVICES COMPANY," FILED IN THIS OFFICE ON THE TWENTY-SECOND
DAY OF OCTOBER, A.D. 1996, AT 4 O'CLOCK P.M.

        A CERTIFIED COPY OF THIS CERTIFICATE HAS BEEN FORWARDED TO THE NEW
CASTLE COUNTY RECORDER OF DEEDS FOR RECORDING.


                    [GREAT SEAL OF THE STATE OF DELAWARE]


                                                   /s/ Edward J. Freel
                                            -----------------------------------
                                            Edward J. Freel, Secretary of State


2235917   8100                              AUTHENTICATION: 8157742

960307305                                            DATE: 10-23-96
<PAGE>   36


                                    AMENDED

                          CERTIFICATE OF DESIGNATION
                                      
                                      OF
                                      
               SERIES TWO JUNIOR PARTICIPATING PREFERRED STOCK
                                      
                                      OF
                                      
                             BJ SERVICES COMPANY
                                      
                       (Pursuant to Section 151 of the
              General Corporation Law of the State of Delaware)
                                      
                             --------------------


              BJ Services Company, a corporation organized and existing under
the General Corporation Law of the State of Delaware (hereinafter called the
"Company"), hereby certifies that the following resolution was duly adopted by
the Board of Directors of the Company as required by Section 151 of the General
Corporation Law of the State of Delaware at a meeting duly called and held on
September 26, 1996:

              RESOLVED, that pursuant to the authority granted to and vested in
the Board of Directors of the Company (hereinafter called the "Board of
Directors" or the "Board") in accordance with the provisions of the Company's
Certificate of Incorporation, as amended to date (hereinafter called the
"Certificate of Incorporation"), the Board of Directors on January 5, 1994
adopted a resolution creating a series of shares of Preferred Stock, par value
$1.00 per share, designated as Series Two Junior Participating Preferred Stock
and filed such designation with the Secretary of State of Delaware on April 7,
1994, no shares of which have been issued as of September 26, 1996; and the
Board of Directors on September 26, 1996 adopted the following resolution to
amend and restate the terms of such Preferred Stock; and be it further

              RESOLVED, that pursuant to the authority vested in the Board of
Directors of the Corporation in accordance with the provisions of the Delaware
General Corporation Law and the Certificate of Incorporation, the Series Two
Junior Participating Preferred Stock of the Corporation heretofore created be,
and that the designation thereof and the powers, designations, preferences and
relative, participating, optional or other special rights of the shares of such
series, and the qualifications, limitations or restrictions thereof are hereby
amended and restated as follows:

              Section 1.  Designation and Amount.  The shares of such series
shall be designated as "Series A Junior Participating Preferred Stock" (the
"Series A Preferred Stock") and the number of shares constituting the Series A
Preferred Stock shall be 200,000.  Such number of shares may be increased or
decreased by





<PAGE>   37




resolution of the Board of Directors; provided, that no decrease shall reduce
the number of shares of Series A Preferred Stock to a number less than the
number of shares then outstanding plus the number of shares reserved for
issuance upon the exercise of outstanding options, rights or warrants or upon
the conversion of any outstanding securities issued by the Company convertible
into Series A Preferred Stock.

              Section 2.  Dividends and Distributions.

              (A)    Subject to the rights of the holders of any shares of any
series of Preferred Stock of the Company (the "Preferred Stock") (or any
similar stock) ranking prior and superior to the Series A Preferred Stock with
respect to dividends, the holders of shares of Series A Preferred Stock, in
preference to the holders of Common Stock, par value $.10 per share, of the
Company (the "Common Stock") and of any other stock of the Company ranking
junior to the Series A Preferred Stock, shall be entitled to receive, when, as
and if declared by the Board of Directors out of funds legally available for
the purpose, quarterly dividends payable in cash on the last day of January,
April, July, and October in each year (each such date being referred to herein
as a "Dividend Payment Date"), commencing on the first Dividend Payment Date
after the first issuance of a share or fraction of a share of Series A
Preferred Stock, in an amount per share (rounded to the nearest cent) equal to
the greater of (a) $10 or (b) subject to the provision for adjustment
hereinafter set forth, 1000 times the aggregate per share amount of all cash
dividends, and 1000 times the aggregate per share amount (payable in kind) of
all non-cash dividends or other distributions other than a dividend payable in
shares of Common Stock, declared on the Common Stock since the immediately
preceding Dividend Payment Date or, with respect to the first Dividend Payment
Date, since the first issuance of any share or fraction of a share of Series A
Preferred Stock.  In the event the Company shall at any time after September
26, 1996 declare or pay any dividend on the Common Stock payable in shares of
Common Stock, or effect a subdivision or combination or consolidation of the
outstanding shares of Common Stock (by reclassification or otherwise than by
payment of a dividend in shares of Common Stock) into a greater or lesser
number of shares of Common Stock, then in each such case the amount to which
holders of shares of Series A Preferred Stock were entitled immediately prior
to such event under clause (b) of the preceding sentence shall be adjusted by
multiplying such amount by a fraction, the numerator of which is the number of
shares of Common Stock outstanding immediately after such event and the
denominator of which is the number of shares of Common Stock that were
outstanding immediately prior to such event.

              (B)    The Company shall declare a dividend or distribution on
the Series A Preferred Stock as provided in paragraph (A) of this Section
immediately after it declares a dividend or distribution on the Common Stock
(other than a





<PAGE>   38




dividend payable in shares of Common Stock); provided that, in the event no
dividend or distribution shall have been declared on the Common Stock during
the period between any Dividend Payment Date and the next subsequent Dividend
Payment Date, a dividend of $10 per share on the Series A Preferred Stock shall
nevertheless be payable, when, as and if declared, on such subsequent Dividend
Payment Date.

              (C)    Dividends shall begin to accrue and be cumulative, whether
or not earned or declared, on outstanding shares of Series A Preferred Stock
from the Dividend Payment Date next preceding the date of issue of such shares,
unless the date of issue of such shares is prior to the record date for the
first Dividend Payment Date, in which case dividends on such shares shall begin
to accrue from the date of issue of such shares, or unless the date of issue is
a Dividend Payment Date or is a date after the record date for the
determination of holders of shares of Series A Preferred Stock entitled to
receive a quarterly dividend and before such Dividend Payment Date, in either
of which events such dividends shall begin to accrue and be cumulative from
such Dividend Payment Date.  Accrued but unpaid dividends shall not bear
interest.  Dividends paid on the shares of Series A Preferred Stock in an
amount less than the total amount of such dividends at the time accrued and
payable on such shares shall be allocated pro rata on a share-by-share basis
among all such shares at the time outstanding.  The Board of Directors may fix
a record date for the determination of holders of shares of Series A Preferred
Stock entitled to receive payment of a dividend or distribution declared
thereon, which record date shall be not more than 60 days prior to the date
fixed for the payment thereof.

              Section 3.  Voting Rights.  The holders of shares of Series A
Preferred Stock shall have the following voting rights;

              (A)    Subject to the provision for adjustment hereinafter set
       forth and except as otherwise provided in the Certificate of
       Incorporation or required by law, each share of Series A Preferred Stock
       shall entitle the holder thereof to 1000 votes on all matters upon which
       the holders of the Common Stock of the Company are entitled to vote.  In
       the event the Company shall at any time after September 26, 1996 declare
       or pay any dividend on the Common Stock payable in shares of Common
       Stock, or effect a subdivision or combination or consolidation of the
       outstanding shares of Common Stock (by reclassification or otherwise
       than by payment of a dividend in shares of Common Stock) into a greater
       or lesser number of shares of Common Stock, then in each such case the
       number of votes per share to which holders of shares of Series A
       Preferred Stock were entitled immediately prior to such event shall be
       adjusted by multiplying such number by a fraction, the numerator of
       which is the number of shares of Common Stock outstanding immediately
       after such event and the denominator of which is





<PAGE>   39




       the number of shares of Common Stock that were outstanding immediately
       prior to such event.

              (B)    Except as otherwise provided herein, in the Certificate of
       Incorporation or in any other Certificate of Designations creating a
       series of Preferred Stock or any similar stock, and except as otherwise
       required by law, the holders of shares of Series A Preferred Stock and
       the holders of shares of Common Stock and any other capital stock of the
       Company having general voting rights shall vote together as one class on
       all matters submitted to a vote of stockholders of the Company.

              (C)    Except as set forth herein, or as otherwise provided by
       law, holders of Series A Preferred Stock shall have no special voting
       rights and their consent shall not be required (except to the extent
       they are entitled to vote with holders of Common Stock as set forth
       herein) for taking any corporate action.

              Section 4.  Certain Restrictions.

              (A)  Whenever quarterly dividends or other dividends or
       distributions payable on the Series A Preferred Stock as provided in
       Section 2 are in arrears, thereafter and until all accrued and unpaid
       dividends and distributions, whether or not earned or declared, on
       shares of Series A Preferred Stock outstanding shall have been paid in
       full, the Company shall not:

                     (i)    declare or pay dividends, or make any other
              distributions, on any shares of stock ranking junior (as to
              dividends) to the Series A Preferred Stock;

                     (ii)   declare or pay dividends, or make any other
              distributions, on any shares of stock ranking on a parity (as to
              dividends) with the Series A Preferred Stock, except dividends
              paid ratably on the Series A Preferred Stock and all such parity
              stock on which dividends are payable or in arrears in proportion
              to the total amounts to which the holders of all such shares are
              then entitled;

                     (iii)  redeem or purchase or otherwise acquire for
              consideration shares of any stock ranking junior (either as to
              dividends or upon liquidation, dissolution or winding up) to the
              Series A Preferred Stock, provided that the Company may at any
              time redeem, purchase or otherwise acquire shares of any such
              junior stock in exchange for shares of any stock of the Company
              ranking junior (as to dividends and upon dissolution, liquidation
              or winding up) to the Series A Preferred Stock or rights,
              warrants or options to acquire such junior stock;





<PAGE>   40





                     (iv)  redeem or purchase or otherwise acquire for
              consideration any shares of Series A Preferred Stock, or any
              shares of stock ranking on a parity (either as to dividends or
              upon liquidation, dissolution or winding up) with the Series A
              Preferred Stock, except in accordance with a purchase offer made
              in writing or by publication (as determined by the Board of
              Directors) to all holders of such shares upon such terms as the
              Board of Directors, after consideration of the respective annual
              dividend rates and other relative rights and preferences of the
              respective series and classes, shall determine in good faith will
              result in fair and equitable treatment among the respective
              series or classes.

              (B)    The Company shall not permit any subsidiary of the Company
       to purchase or otherwise acquire for consideration any shares of stock
       of the Company unless the Company could, under paragraph (A) of this
       Section 4, purchase or otherwise acquire such shares at such time and in
       such manner.

              Section 5.  Reacquired Shares.  Any shares of Series A Preferred
Stock purchased or otherwise acquired by the Company in any manner whatsoever
shall be retired and cancelled promptly after the acquisition thereof.  All
such shares shall upon their retirement become authorized but unissued shares
of Preferred Stock and may be reissued as part of a new series of Preferred
Stock to be created by resolution or resolutions of the Board of Directors,
subject to any conditions and restrictions on issuance set forth herein.

              Section 6.  Liquidation, Dissolution or Winding Up.  Upon any
liquidation, dissolution or winding up of the Company, no distribution shall be
made (A) to the holders of the Common Stock or of shares of any other stock of
the Company ranking junior, upon liquidation, dissolution or winding up, to the
Series A Preferred Stock unless, prior thereto, the holders of shares of Series
A Preferred Stock shall have received $100 per share, plus an amount equal to
accrued and unpaid dividends and distributions thereon, whether or not earned
or declared, to the date of such payment, provided that the holders of shares
of Series A Preferred Stock shall be entitled to receive an aggregate amount
per share, subject to the provision for adjustment hereinafter set forth, equal
to 1000 times the aggregate amount to be distributed per share to holders of
shares of Common Stock, or (B) to the holders of shares of stock ranking on a
parity upon liquidation, dissolution or winding up with the Series A Preferred
Stock, except distributions made ratably on the Series A Preferred Stock and
all such parity stock in proportion to the total amounts to which the holders
of all such shares are entitled upon such liquidation, dissolution or winding
up.  In the event, however, that there are not sufficient assets available to
permit payment in full of the Series A liquidation preference and the
liquidation preferences of all other classes





<PAGE>   41




and series of stock of the Company, if any, that rank on a parity with the
Series A Preferred Stock in respect thereof, then the assets available for such
distribution shall be distributed ratably to the holders of the Series A
Preferred Stock and the holders of such parity shares in the proportion to
their respective liquidation preferences.  In the event the Company shall at
any time after September 26, 1996 declare or pay any dividend on the Common
Stock payable in shares of Common Stock, or effect a subdivision or combination
or consolidation of the outstanding shares of Common Stock (by reclassification
or otherwise than by payment of a dividend in shares of Common Stock) into a
greater or lesser number of shares of Common Stock, then in each such case the
aggregate amount to which holders of shares of Series A Preferred Stock were
entitled immediately prior to such event under the proviso in clause (A) of the
preceding sentence shall be adjusted by multiplying such amount by a fraction
the numerator of which is the number of shares of Common Stock outstanding
immediately after such event and the denominator of which is the number of
shares of Common Stock that were outstanding immediately prior to such event.

              Section 7.  Consolidation, Merger, etc.  In case the Company
shall enter into any consolidation, merger, combination or other transaction in
which the shares of Common Stock are converted into, exchanged for or changed
into other stock or securities, cash and/or any other property, then in any
such case each share of Series A Preferred Stock shall at the same time be
similarly converted into, exchanged for or changed into an amount per share
(subject to the provision for adjustment hereinafter set forth) equal to 1000
times the aggregate amount of stock, securities, cash and/or any other property
(payable in kind), as the case may be, into which or for which each share of
Common Stock is converted, exchanged or converted.  In the event the Company
shall at any time after September 26, 1996 declare or pay any dividend on the
Common Stock payable in shares of Common Stock, or effect a subdivision or
combination or consolidation of the outstanding shares of Common Stock (by
reclassification or otherwise than by payment of a dividend in shares of Common
Stock) into a greater or lesser number of shares of Common Stock, then in each
such case the amount set forth in the preceding sentence with respect to the
conversion, exchange or change of shares of Series A Preferred Stock shall be
adjusted by multiplying such amount by a fraction, the numerator of which is
the number of shares of Common Stock outstanding immediately after such event
and the denominator of which is the number of shares of Common Stock that were
outstanding immediately prior to such event.

              Section 8.  No Redemption. The shares of Series A Preferred Stock
shall not be redeemable from any holder.

              Section 9.  Rank.  The Series A Preferred Stock shall rank, with
respect to the payment of dividends and the distribution of assets upon
liquidation, dissolution or winding





<PAGE>   42




up of the Company, junior to all other series of Preferred Stock and senior to
the Common Stock.

              Section 10.  Amendment.  If any proposed amendment to the
Certificate of Incorporation (including this Certificate of Designations) would
alter, change or repeal any of the preferences, powers or special rights given
to the Series A Preferred Stock so as to affect the Series A Preferred Stock
adversely, then the holders of the Series A Preferred Stock shall be entitled
to vote separately as a class upon such amendment, and the affirmative vote of
two-thirds of the outstanding shares of the Series A Preferred Stock, voting
separately as a class, shall be necessary for the adoption thereof, in addition
to such other vote as may be required by the General Corporation Law of the
State of Delaware.

              Section 11.  Fractional Shares.  Series A Preferred Stock may be
issued in fractions of a share that shall entitle the holder, in proportion to
such holder's fractional shares, to exercise voting rights, receive dividends,
participate in distributions and to have the benefit of all other rights of
holders of Series A Preferred Stock.





<PAGE>   43





              IN WITNESS WHEREOF, this Certificate of Designations is executed
on behalf of the Company by its President and attested by its Secretary this
26th day of September, 1996.

                                              /s/  J. W. STEWART
                                        -----------------------------------
                                                   J. W. STEWART 

Attest:

  /s/  MARGARET B. SHANNON
------------------------------
       MARGARET B. SHANNON