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                                                                    EXHIBIT 3.2

                              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
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                                   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





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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





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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





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       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;





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                     (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





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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





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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.





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              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