<PAGE>
 
                                                                     EXHIBIT 3.1

                         ARTICLES OF AMENDMENT TO THE
                      RESTATED ARTICLES OF INCORPORATION
                                      OF
                                EEX CORPORATION

     Pursuant to the provisions of Article 4.04 of the Texas Business
Corporation Act, the undersigned corporation adopts the following Articles of
Amendment to its Restated Articles of Incorporation:

     FIRST:   The name of the corporation is EEX Corporation.

     SECOND:  Article Four (A) of the Restated Articles of Incorporation of the
corporation is hereby deleted and replaced in its entirety with the following:

     "(A) Authorized Capital Stock.

          (i)  The aggregate number of shares of all classes of stock the
     Company shall have authority to issue is 160,000,000 consisting of and
     divided into:

          (a)  one class of 150,000,000 shares of Common Stock, par value $0.01
               per share (the "Common Stock"); and

          (b)  one class of 10,000,000 shares of Preferred Stock, no par value
               (the "Preferred Stock"), which may be divided into and issued in
               one or more series, as hereinafter provided.

          (ii) Reverse Stock Split.  Effective as of the close of business on
     the date of filing this amendment to the Restated Articles of Incorporation
     (the "Effective Time"), the filing of this amendment shall effect a reverse
     stock split (the "Reverse Stock Split") pursuant to which each three (3)
     shares of Common Stock of the corporation issued and outstanding, shall be
     combined into one (1) validly issued, fully paid and nonassessable share of
     Common Stock of the corporation.  The number of authorized shares, the
     number of shares of treasury stock and the par value of the Common Stock
     shall not be affected by the Reverse Stock Split.  Each stock certificate
     that prior to the Effective Time represented shares of Common Stock shall,
     following the Effective Time, represent the number of shares into which the
     shares of Common Stock represented by such certificate shall be combined.
     Fractional shares that occur as a result of the foregoing shall be
     purchased by the corporation based upon the closing price reported for the
     Common Stock on the New York Stock Exchange on the date of filing this
     amendment."

     THIRD:   This amendment to the Restated Articles of Incorporation was
adopted by the shareholders of the corporation on December 8, 1998.
<PAGE>
 
     FOURTH:  The number of shares of the corporation outstanding at the
time of such adoption was 127,150,427; and the number of shares entitled to vote
thereon was 127,150,427.

     FIFTH:   The number of shares voted for such amendment was 97,771,506;
and the number of shares voted against such amendment was 19,490,902.

     Dated December 8, 1998.

                                          EEX CORPORATION


                                      By: /s/ J. K. Hartrick
                                          --------------------------------------
                                          J. K. Hartrick
                                          Senior Vice President, General Counsel
                                          and Corporate Secretary
<PAGE>
 
                      RESTATED ARTICLES OF INCORPORATION

                                      OF

                                EEX CORPORATION


                             ARTICLE 1 SECTION ONE

     EEX Corporation, a Texas corporation (the "Company") formerly named Enserch
Exploration, Inc. and formerly named Lone Star Energy Plant Operations, Inc.,
pursuant to the provisions of Article 4.07 of the Texas Business Corporation
Act, as amended, hereby adopts Restated Articles of Incorporation without
amendments as set forth below.

                                  SECTION TWO

     The Restated Articles of Incorporation accurately copy the Articles of
Incorporation and all amendments and supplements thereto that are in effect
immediately prior hereto (collectively, the "Old Articles"), including the
Statement of Resolution filed on September 11, 1996 establishing and designating
the $200 Series A Junior Participating Preferred Stock, but except that the
number of directors currently constituting the Board of Directors and the names
and addresses of the persons now serving as directors is inserted in lieu of
similar information in the Old Articles and the name of each incorporator is
omitted.

                                 SECTION THREE

     The Restated Articles of Incorporation were adopted by resolution of the
Board of Directors of the Company on February 24, 1998.

                                 SECTION FOUR

     The Old Articles are hereby superseded by the following Restated Articles
of Incorporation, which accurately copy the entire text thereof except as above
set forth:
<PAGE>
 
                      RESTATED ARTICLES OF INCORPORATION

                                      OF

                                EEX CORPORATION


                                  ARTICLE ONE

     The name of the corporation (the "Company") is EEX Corporation.

                                  ARTICLE TWO

     The period of its duration is perpetual.

                                 ARTICLE THREE

     The purposes for which the Company is organized are:

(1)  To engage in all phases of the gas and oil business and related activities,
including without limitation engaging in exploration, drilling, development, and
production of gas and oil properties;

(2)  To store, transport, buy and sell, gas, oil, salt, brine and other mineral
solutions and liquefied minerals;

(3)  To explore for, produce, purchase and sell, store, process and manufacture,
transport and distribute gas, oil and all other minerals;

(4)  To manufacture, produce, purchase or otherwise acquire, sell or dispose of,
distribute, mortgage, pledge, lease, repair, install, operate, deal in and with,
whether as principal or agent, products, goods, appliances, wares, merchandise,
fixtures, plants, structures, machinery, and materials of every kind and
description, to lend money for the carrying out of such purposes, and to take
and hold real and personal property for the payment of such funds so loaned;

(5)  To engage in the business of operation and maintenance of cogeneration and
other power production projects; and

(6)  To transact any or all lawful business for which corporations may be
incorporated under the Texas Business Corporation Act, as amended and in effect
from time to time (the "TBCA").
<PAGE>
 
                                 ARTICLE FOUR

(A)  Authorized Capital Stock. The aggregate number of shares of all classes of
stock the Company shall have authority to issue is 410,000,000 consisting of and
divided into:

  (i)     one class of 400,000,000 shares of Common Stock, par value $0.01 per
          share (the "Common Stock"); and

  (ii)    one class of 10,000,000 shares of Preferred Stock, no par value (the
          "Preferred Stock"), which may be divided into and issued in one or
          more series, as hereinafter provided.

(B)  Series.  The Preferred Stock may be divided into and issued in, at any time
and from time to time, one or more series as the Board of Directors shall
determine pursuant to the authority hereby vested in it. The Board of Directors
shall have the authority to establish series of unissued shares of Preferred
Stock, at any time and from time to time, by fixing and determining the
designations, preferences, limitations and relative rights of the shares of the
series, subject to and within the limitations of the TBCA and the Articles of
Incorporation, including without limitation the following:

     (a)  the number of shares constituting the series and the distinctive
     designation of that series;

     (b)  the dividend rate on shares of the series, the dividend payment dates,
     whether dividends shall be cumulative (and, if so, from which date or
     dates), non-cumulative, or partially cumulative, and the relative rights of
     priority, if any, of payment of dividends on the shares of the series;

     (c)  the amount payable to the holders of shares of the series upon any
     voluntary or involuntary liquidation of the Company;

     (d)  the preference in the assets of the Company over any other class,
     classes or series of shares upon the voluntary or involuntary liquidation
     of the Company;

     (e)  whether the shares of the series are redeemable at the option of the
     Company, the shareholder or another person or upon occurrence of a
     designated event and, if so, the price payable upon redemption of shares of
     the series and the terms and conditions on which such shares are
     redeemable;

     (f)  the provisions of the sinking fund, if any, for the redemption or
     purchase of shares of the series;

     (g)  the voting rights, if any, of the shares of the series;
<PAGE>
 
     (h)  the terms and conditions, if any, on which such shares may be
     converted, at the option of the Company, the shareholder or another person
     or upon occurrence of a designated event, into shares of any other class or
     series;

     (i)  the terms and conditions, if any, on which such shares may be
     exchanged, at the option of the Company, the shareholder or another person
     or upon occurrence of a designated event, for shares, obligations,
     indebtedness, evidences of ownership, rights to purchase securities or
     other securities of the Company or one or more other domestic or foreign
     corporations or other entities or for other property or for any combination
     of the foregoing; and

     (j)  any other special rights and qualifications, limitations or
     restrictions permitted by the TBCA to be granted to or imposed on the
     series.

     Any of the designations, preferences, limitations and relative rights of
the shares of any series so established may be made dependent upon facts
ascertainable outside the Articles of Incorporation, which facts may include
future acts of the Company, provided that the manner in which such facts shall
operate upon the designations, preferences, limitations and relative rights of
the shares of any series shall be set forth in the resolution or resolutions
establishing the series.

     All shares within the same series of Preferred Stock shall be identical
except as to the date of issue and the dates from which dividends on shares of
the series issued on different dates will cumulate, if cumulative. The Board of
Directors shall have the authority to increase or decrease the number of shares
within each series of Preferred Stock; provided, that the Board of Directors may
not decrease the number of shares within a series to less than the number of
shares within such series that are then outstanding.

(C)  Preemptive Rights.  No shareholder of the Company shall by reason of the
shareholder's holding shares of any class or series have any preemptive or
preferential right to purchase or subscribe to any shares of any class or series
of the Company, now or hereafter to be authorized, or any notes, debentures,
bonds or other securities convertible into or carrying options or warrants to
purchase shares of any class or series, now or hereafter to be authorized,
whether or not the issuance of any such shares, or such notes, debentures, bonds
or other securities, would adversely affect the dividend or voting rights of
such shareholders, other than such rights, if any, as the Board of Directors in
its discretion may fix; and the Board of Directors may issue shares of any class
or series of the Company, or any notes, debentures, bonds or other securities
convertible into or carrying options or warrants to purchase shares of any class
or series, without offering any such shares of any class or series, either in
whole or in part, to the existing shareholders of any class or series.

(D)  Subordination of Common Stock.  The Common Stock shall be subject and
subordinate to the rights, privileges and preferences of any series of Preferred
Stock to the extent set forth in the resolution or resolutions of the Board of
Directors establishing the series.
<PAGE>
 
(E)  Other Provisions Applicable to Capital Stock.

     (a)  Each outstanding share of Common Stock shall be entitled to one vote
          on each matter submitted to a vote at a meeting of shareholders,
          except as otherwise provided by the TBCA or as set forth in the
          resolution or resolutions of the Board of Directors establishing any
          series of Preferred Stock.

     (b)  At each election for directors of the Company ("Directors"), every
          shareholder entitled to vote at such election shall have the right to
          vote the number of shares owned by such shareholder for as many
          persons as there are Directors to be elected and for whose election
          such shareholder has a right to vote; provided that cumulative voting
          in the election for Directors is prohibited.

     (c)  In the event of any dissolution, liquidation or winding up of the
          Company, but subject to the rights of the holders of any series of
          Preferred Stock, holders of Common Stock shall be entitled to receive
          pro rata all of the remaining assets of the Company available for
          distribution to its shareholders.

     (d)  Subject to the rights of the holders of Preferred Stock as set forth
          in the resolution or resolutions of the Board of Directors
          establishing any series of Preferred Stock, dividends may be paid upon
          Common Stock to the exclusion of Preferred Stock out of any assets of
          the Company available therefor.

_____________________________

     As adopted by the Board of Directors of the Company effective September 11,
1996:

          "RESOLVED, that pursuant to the authority conferred upon the Board of
     Directors of this Company by the provisions of the Restated Articles of
     Incorporation of this Company, the Board of Directors hereby creates a new
     series of Preferred Stock of the Company which shall consist of 1,000,000
     shares of no par value, which shall be designated and known as $200 Series
     A Junior Participating Preferred Stock, and that in addition to the
     preferences, rights, voting powers and the restrictions or qualifications
     of all shares of Preferred Stock regardless of series, described and
     expressed in the Restated Articles of Incorporation of the Company, the
     Board of Directors hereby declares that the shares of the $200 Series A
     Junior Participating Preferred Stock shall have the terms, conditions,
     rights and preferences, as follows:

     1.   Designation.  The shares of such series shall be designated "$200
Series A Junior Participating Preferred Stock" (herein called "Series A
Preferred Stock").

     2.   Number.  The number of shares of Series A Preferred Stock shall be
1,000,000, which number may be increased or decreased by resolution adopted by
the Board of Directors: 
<PAGE>
 
provided, however, that no decrease shall reduce the number of authorized shares
of Series A Preferred Stock to less than the number of shares then issued and
outstanding plus the number of shares issuable upon the exercise of outstanding
rights, options for warrants or upon conversion of outstanding securities issued
by the Company.

     3.   Dividends.  Subject to the rights of the holders of any shares of any
other series of Preferred Stock (or any similar stock) of the Company with
respect to dividends, but in preference to the holders of shares of the Common
Stock, par value $0.01 per share (the "Common Stock"), the Company or of any
other class or series of stock of the Company ranking junior to the Series A
Preferred Stock, the holders of shares of 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, dividends for each Quarterly Dividend
Period (as hereinafter defined) equal (rounded to the nearest cent) to the
greater of (a) $20 or (b) subject to the provision for adjustment hereinafter
set forth, 200 times the aggregate per share amount of all cash dividends, and
200 times the aggregate per share amount (payable in cash, based upon the fair
market value at the time the non-cash dividend or other distribution is declared
as determined in good faith by the Board of Directors) 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 (but not withdrawn) on the Common Stock during the
immediately preceding Quarterly Dividend Period, or, with respect to the first
Quarterly Dividend Period, 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 10, 1996 (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 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.

     As used herein "Quarterly Dividend Period" shall mean a period of three
months which shall commence on February 1, May 1, August 1 and November 1 in
each year (or in the case of original issuance, from the date of original
issuance) and shall end on and include the day next preceding the first date of
the next Quarterly Dividend Period. The first day of each such Quarterly
Dividend Period shall be the dividend payment date for the regular quarterly
dividend payable for the preceding Quarterly Dividend Period, except that the
first dividend on shares of Series A Preferred Stock shall be payable on the
quarterly payment date next succeeding the expiration of 30 days after the date
of initial issue of any shares of the Series A Preferred Stock.

     Dividends on the Series A Preferred Stock, if any, shall be cumulative so
that no dividend (other than a dividend payable in Common Stock) or other
distribution shall be paid or declared or made on, and no amounts shall be
applied to the purchase or redemption of, the
<PAGE>
 
Common Stock or any other class of stock ranking junior to the Series A
Preferred Stock as to dividends or assets unless (i) full cumulative dividends
for all past Quarterly Dividend Periods have been paid or declared and set apart
for payment, and full cumulative dividends for then current Quarterly Dividend
Period shall have been or simultaneously therewith shall be paid and declared on
outstanding Series A Preferred Stock, and (ii) after giving effect to such
payment of dividend, other distribution, purchase or redemption, the aggregate
capital of the Company applicable to all capital stock outstanding ranking
junior to the Series A Preferred Stock as the dividends or assets plus the
consolidated surplus of the Company and its subsidiaries shall exceed the
aggregate amount payable on involuntary dissolution, liquidation or winding up
of the Company on all shares of the Series A Preferred Stock and all stock
ranking prior to on a parity with the Series A Preferred Stock as the dividends
or assets to be outstanding after the payment of such dividend, other
distribution, purchase or redemption. Determinations made with respect to the
declaration and payment of dividends and other distributions shall be made in
accordance with the provisions of the Texas Business Corporation Act, as amended
and in effect at the time (the "TBCA").

     4.   Liquidation. In the event of any voluntary or involuntary liquidation,
dissolution or winding up of the Company, the holders of the Series A Preferred
Stock shall, subject to the prior and superior rights of the holders of any
shares of any other series of Preferred Stock (or any similar stock) of the
Company, be entitled to receive the greater of (a) $200 per share, or (b) an
amount per share, subject to the provision for adjustment hereinafter set forth,
equal to 200 times the aggregate amount to be distributed per share to holders
of Common Stock, plus in either instance accrued dividends to the date of
distribution, whether or not earned or declared. In the event the Company 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 to which holders of shares of Series A
Preferred Stock were entitled immediately prior to such event pursuant to 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.

     No distribution shall be made to the holders of shares of Common Stock or
any other stock ranking junior to the Series A Preferred Stock upon liquidation,
distribution or winding up, unless, prior thereto, the holders of Shares of
Series A Preferred Stock shall have received the amounts set forth above. If the
assets available for distribution to holders of shares of Series A Preferred
Stock shall not be sufficient to pay in full the amounts so determined to be
payable on all shares of the Series A Preferred Stock in the event of such
voluntary or involuntary dissolution, liquidation or winding up, as the case may
be, then assets available for payment shall be distributed ratably among the
holders of the Series A Preferred Stock of all series in accordance with the
amounts so determined to be payable on the shares of each series in the event of
voluntary or involuntary dissolution, liquidation or winding up, as the case may
be, in proportion to the full preferential amounts to which they are
respectively entitled. After
<PAGE>
 
payment to the holders of the Series A Preferred Stock of the full preferential
amounts hereinbefore provided for, the holders of Series A Preferred Stock will
have no other rights or claims to any of the remaining assets of the Company
either upon distribution of such assets or upon dissolution, liquidation or
winding up. The sale of all or substantially all of the property of the Company
to, or the merger or consolidation of the Company into or with, any other
corporation, or the purchase or redemption by the Company of any shares of its
Preferred Stock, or its Series A Preferred Stock or its Common Stock or any
other class of its stock shall not be deemed to be a distribution of assets or a
dissolution, liquidation or winding up for the purpose of this paragraph.

     5.   Optional Redemption.  So long as full cumulative dividends on all
outstanding shares of Series A Preferred Stock for all dividend periods ending
on or prior to the date fixed for redemption shall have been paid or declared
and set apart for payment and  subject to any applicable requirements of Texas
law and the rights of the holders of any shares of any other series of Preferred
Stock (or any similar stock) of the Company, the Company shall have the option
to redeem the whole or any part of the Series A Preferred Stock at any time on
at least 30 days notice in accordance with the provisions of the procedures for
redemptions set forth in the TBCA at a redemption price equal to the greater of
(a) $200 and (b), subject to the provision for adjustment hereinafter set forth,
200 times the "current per share market price" of the Common Stock on the date
of mailing of the notice of redemption, together with unpaid accumulated
dividends to the date of such redemption.  In the event the Company 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 to which holders of shares of Series A
Preferred Stock were otherwise entitled immediately prior to such event under
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.  The "current per share market price" on any date shall be deemed to be
the average of the closing price per share of such Common Stock for the 10
consecutive "trading days" (as such term is hereinafter defined) immediately
prior to such date.  The closing price for each 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 Common Stock is 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 or admitted to trading on the principal
national securities exchange on which the Common Stock is listed or admitted to
trading or, if the Common Stock is 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
Quotations System ("NASDAQ") or such other system then in use or, if on any such
date the Common Stock is not quoted by any such organization, the average of the
closing bid
<PAGE>
 
and asked prices as furnished by a professional market maker making a market in
the Common Stock selected by the Board of Directors of the Company. If on such
date no such market maker is making a market in the Common Stock, the fair value
of the Common Stock on such date as determined in good faith by the Board of
Directors of the Company shall be used. The term "trading day" shall mean a day
on which the principal national securities exchange on which the Common Stock is
listed or admitted to trading is open for transaction of business or, if the
Common Stock is not listed or admitted to trading on any national securities
exchange, a Monday, Tuesday, Wednesday, Thursday or Friday on which banking
institutions in the State of New York are not authorized or obligated by law or
executive order to close.

     6.   Treasury Shares. So long as any shares of the Series A Preferred Stock
are outstanding, shares of the Series A Preferred Stock which are purchased,
redeemed or otherwise acquired by the Company shall not be reissued, or
otherwise disposed of, as shares of Series A Preferred Stock.

     7.   Conversion. Other than as set forth above, the Series A Preferred
Stock shall not have any conversion or exchange rights.

     8.   Voting Rights.

     (A)  Each share of Series A Preferred Stock shall entitle the holder
thereof to 200 votes on all matters submitted to a vote of the shareholders of
the Company. In the event the Company 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 as
the number of votes 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
the number of shares of Common Stock that were outstanding immediately prior to
such event.

     (B)  The Series A Preferred Stock shall have no voting rights other than
the voting rights set forth herein, in the Restated Articles of Incorporation of
the Company or as otherwise provided by Texas law.

     9.   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 converted or changed into other stock or
securities, cash and/or other property, then in any such case proper provision
shall be made so that each share of Series A Preferred Stock shall at the same
time be similarly exchanged for or converted or changed into an amount per
share, subject to the provision for adjustment hereinafter set forth, equal to
200 times the aggregate amount of stock, securities, cash and/or any other
property (payable in kind), as the case may be, for which or into which each
share of Common Stock is exchanged for or converted or changed.  In the event
the Company shall at any time after the Rights 
<PAGE>
 
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
conversion 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.

     10.  Amendment.  No change shall be made in any of the rights or
preferences of the Series A Preferred Stock at the time outstanding without the
affirmative vote of at least two-thirds of the votes entitled to be cast with
respect to the shares of the Series A Preferred Stock outstanding on the record
date for such meeting in addition to any other vote, if any, as may be required
for such change under the applicable provisions of the Restated Articles of
Incorporation and the laws of the State of Texas at the time applicable
thereto."

                                 ARTICLE FIVE

     The street address of the Company's registered office is 2500 City West
Blvd., Suite 1400, Houston, Texas 77042, and the name of its registered agent at
that address is Janice K. Hartrick.

                                  ARTICLE SIX

     (A)  Number.  The number of Directors constituting the Board of Directors
of the Company shall be fixed from time to time by the Board of Directors by the
affirmative vote of not less than a majority of the Continuing Directors (as
defined in Article Ten) but shall not be less than three (3), subject to such
rights to elect additional Directors under such specified circumstances as may
be granted to holders of Preferred Stock,

     (B)  Required Vote to Elect Directors. With respect to the election of
Directors, the act of the shareholders electing the Directors shall be a vote of
the holders of a majority of the outstanding shares entitled to vote in the
election of Directors.

     (C)  Term.  Directors shall hold office until their respective successors
shall have been elected and qualified.
 
     (D)  Removal. Directors may be removed from office, with or without cause,
only by the affirmative vote of the holders of not less than a majority of the
outstanding shares entitled to vote in the election of Directors, if notice of
the intention to act upon such matter shall have been given in the notice
calling for the meeting.

     (E)  Vacancies; Increase in Number of Directors. Subject to such rights to
elect Directors under specified circumstances as may be granted to holders of
Preferred Stock,
<PAGE>
 
newly created directorships resulting from any increase in the number of
Directors and any vacancies on the Board of Directors resulting from death,
resignation, disqualification, removal or other reason shall be filled solely by
the affirmative vote of a majority of the Continuing Directors, even though less
than a quorum of the Board of Directors. No decrease in the number of Directors
constituting the Board of Directors shall shorten the term of any incumbent
Director.

     (F)  Current Directors. The number of Directors constituting the Board of
Directors is five (5), subject to being increased or decreased as set forth
above. The names and addresses of the persons who are to serve as Directors and
their classification are:
<TABLE>
<CAPTION>
 
               Name                          Address
<S>                                   <C>
 
          T. M Hamilton               2500 City West Blvd., Suite 1400, Houston, Texas 77042
          F. S. Addy                  2500 City West Blvd., Suite 1400, Houston, Texas 77042
          B. A. Bridgewater, Jr.      2500 City West Blvd., Suite 1400, Houston, Texas 77042
          F. M. Lowther               2500 City West Blvd., Suite 1400, Houston, Texas 77042
          M. P. Mallardi              2500 City West Blvd., Suite 1400, Houston, Texas 77042
</TABLE>

                                 ARTICLE SEVEN

     To the fullest extent permitted by law, a Director shall not be liable to
the Company or its shareholders for monetary damages for any act or omission in
his capacity as a Director. Any repeal or modification of this Article shall be
prospective only and shall not adversely affect any limitation of the personal
liability of a Director existing at the time of the repeal or modification. The
provisions of this Article shall not be deemed to limit or preclude
indemnification of a Director by the Company for any liability of a Director
that has not been eliminated by the provisions of this Article.

                                 ARTICLE EIGHT

     (A)  Power to Alter, Amend or Repeal Bylaws.  The power to alter, amend,
suspend or repeal the Bylaws or to adopt new Bylaws shall be vested in, and
shall require the affirmative vote of not less than a majority of the Continuing
Directors (as defined in Article Ten); provided that any Bylaw or amendment
thereto as adopted by the Board of Directors may be altered, amended, suspended
or repealed by the affirmative vote of the holders of not less than 66 2/3% of
the outstanding Voting Stock (as defined in Article Ten) or a new Bylaw in lieu
thereof may be adopted by vote of such shareholders. No Bylaw that has been
altered, amended or adopted by such a vote of the shareholders may be altered,
amended or repealed by vote of the Directors until two years shall have expired
since such action by such vote of shareholders.

     (B)  Bylaw Stock Ownership Restrictions.  The Board of Directors shall have
the power and authority, from time to time, to adopt, alter or amend the Bylaws
to add or amend
<PAGE>
 
such provisions as in their judgment may be necessary or appropriate to ensure
that the Company and its shareholders satisfy the citizenship or other
requirements imposed by any federal or state law relating to the ownership,
possession or leasing of gas, oil or other minerals, land, vessels or any other
property, licenses or rights of any nature whatsoever in which the Company or
any of its subsidiaries may have or hereafter have, or seek to have, any right
or interest. Without limiting such general powers, the Board of Directors shall
have the power and authority, from time to time, to adopt, alter or amend the
Bylaws to add or amend provisions that for such purpose impose restrictions on
the transfer or registration of transfer of the shares of the Company, including
without limitation restrictions that:

          (1) obligate the holders of the restricted shares to offer to the
     Company or to any other holders of shares of the Company or to any other
     person or to any combination of the foregoing, a prior opportunity, to be
     exercised within a reasonable time, to acquire the restricted shares;

          (2) provide that the Company or the holders of any class of shares of
     the Company must consent to any proposed transfer of the restricted shares
     or approve the proposed transferee of the restricted shares before the
     transfer may be effected;

          (3) prohibit the transfer of the restricted shares to designated
     persons or classes of persons; or

          (4) maintain any tax or other status or advantage to the Company.


                                 ARTICLE NINE

     (A)  No Shareholder Written Consent Action.  Any action required or
permitted to be taken by the shareholders of the Company must be effected at a
duly called annual or special meeting of such holders and may not be effected by
any consent in writing by such holders.

     (B)  Special Meetings of Shareholders.  Subject to such rights to call
special meetings of shareholders under specified circumstances as may be granted
to holders of Preferred Stock, special meetings of shareholders may be called
only by the Chairman of the Board or the President of the Company, at the
request in writing or by vote of not less than a majority of the Continuing
Directors (as defined in Article Ten) or at the request of the holders of not
less than 50% of the outstanding shares entitled to vote at the meeting, and not
by any other persons. Any request for a special meeting made by the Board of
Directors shall state the purpose or purposes of the proposed meeting, and
business transacted at the meeting shall be confined to the objects stated in
the notice of the meeting.
<PAGE>
 
                                  ARTICLE TEN

     In addition to any other vote of shareholders required by the TBCA, the
Articles of Incorporation or otherwise, the affirmative vote of the holders of
not less than 80% of the outstanding shares of "Voting Stock" (as hereinafter
defined) of the Company, including the affirmative vote of the holders of not
less than 50% of the outstanding shares of Voting Stock not "Beneficially
Owned"(as hereinafter defined), 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) in which any Related Person
has an interest (except proportionately as a shareholder of the Company);
provided, that the 50% 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;
provided further that the 80% requirement referred to above shall not be
applicable if:

          (1) The Board of Directors by a vote of not less than a majority of
     the "Continuing Directors" (as hereinafter defined) then holding office (a)
     expressly approved in advance the acquisition of outstanding shares of
     Voting Stock that resulted in the Related Person becoming a Related Person
     or (b) 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 Company and another
     corporation, 100% of the Voting Stock of which is owned, directly or
     indirectly, by the Company; 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 (1) year after the date of the
     transaction that resulted in the Related Person becoming 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 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 share dividends, and including any brokerage commissions,
     transfer taxes and soliciting dealer fees) paid by the Related Person in
     acquiring any of its holdings of 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 Common Stock with a form of
     consideration other than cash, the same form of consideration with which
     the Related Person acquired such majority; (c) after such Related Person
     has become a Related Person and prior to 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,
     (ii) there shall have been no reduction in the annual rate of dividends
     paid per share on the Company's Common Stock (adjusted as appropriate for
     recapitalizations
<PAGE>
 
     and for stock splits, reverse stock splits and share dividends) except as
     approved by a majority of the Continuing Directors, (iii) such Related
     Person shall not have become the Beneficial Owner of any additional shares
     of Voting Stock of the Company except as part of the transaction that
     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 shareholder), of any loans, advances,
     guarantees, pledges or other financial assistance or any tax credits or
     other tax advantages provided by the Company, whether in anticipation of or
     in connection with such Business Combination or otherwise; and (d) a proxy
     statement, that complies with the requirements of the "Exchange Act" (as
     hereinafter defined) and the rules and regulations thereunder (or any
     subsequent provisions replacing the Exchange Act, rules or regulations),
     shall be mailed to all shareholders of record not less than forty (40) days
     prior to the consummation of the Business Combination for the purpose of
     soliciting shareholder 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 that
     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
     shareholders of the Company (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 Company upon receipt of such opinion).

          For the purposes of this Article:
 
          "Affiliate," when used to indicate a relationship to a specified
     person, shall mean a person that directly, or indirectly through one or
     more intermediaries, controls, or is controlled by, or is under common
     control with, the specified person.

          "Associate," when used to indicate a relationship with a specified
     person, shall mean (a) any corporation, partnership or other organization
     of which the specified person is an officer or partner or is, directly or
     indirectly, the Beneficial Owner of five percent or more of any class of
     equity securities, (b) any trust or other estate in which the specified
     person has a substantial beneficial interest or as to which the specified
     person serves as trustee or in a similar fiduciary capacity, (c) any
     relative or spouse of the specified person, or any relative of that spouse,
     who has the same home as the specified person or who is a director or
     officer of the Company or any of its parents or Subsidiaries, and (d) any
     person who is a director or officer of the specified person or any of its
     parents or subsidiaries (other than the Company or any Subsidiary of the
     Company).

          "Beneficial Owner" and "Beneficially Own," when used with reference to
     any Voting Stock, shall mean
<PAGE>
 
     (a)  that the person or any of its Affiliates or Associates beneficially
owns, directly or indirectly, within the meaning of Rule 13d-3 under the
Exchange Act as in effect on September 10, 1996;

     (b)  that the person or any of its Affiliates or Associates has (i) the
right to acquire (whether that right is exercisable immediately or only after
the passage of time and whether that right is contingent or absolute) pursuant
to any agreement, arrangement or understanding or upon the exercise of
conversion rights, exchange rights, warrants or options, or otherwise, or (ii)
the right to vote pursuant to any agreement, arrangement or understanding (but
neither that person nor any such Affiliate or Associate shall be deemed to be
the Beneficial Owner of any shares of Voting Stock solely by reason of a
revocable proxy granted with respect to shares for a particular meeting of
shareholders pursuant to a public solicitation of proxies for that meeting, if
neither that person nor any such Affiliate or Associate is otherwise deemed the
Beneficial Owner of those shares); or

     (c)  that are beneficially owned, directly or indirectly, within the
meaning of Rule 13d-3 under the Exchange Act as in effect on September 10, 1996
by any other person with which the person or any of its Affiliates or Associates
has any agreement, arrangement or understanding for the purpose of acquiring,
holding, voting (other than solely by reasons of a revocable proxy given in
response to public proxy or consent solicitation made pursuant to the applicable
rules under the Exchange Act) or disposing of any shares of Voting Stock;
provided, however, that in the case of any employee stock ownership or similar
plan of the Company or of any Subsidiary in which the beneficiaries thereof
possess the right to vote any shares of Voting Stock held by that plan, no such
plan and no trustee with respect thereto (or any Affiliate of that trustee),
solely by reason of that capacity as trustee, shall be deemed for the purposes
hereof to Beneficially Own any shares of Voting Stock held under any such plan.

          "Business Combination" shall mean (a) any merger, consolidation or
share exchange involving the Company or a Subsidiary, (b) any sale, lease,
exchange, mortgage, pledge, transfer or other disposition of all or any
"Substantial Part" (as hereinafter defined) of the assets either of the Company
(including without limitation any voting securities of a Subsidiary) or of a
Subsidiary, (c) any sale, lease, exchange, transfer or other disposition of
assets having a fair market value of $5,000,000 or more to the Company or a
Subsidiary, (d) the issuance or transfer by the Company or a Subsidiary (other
than by way of a pro rata distribution to all shareholders) of any securities of
the Company or a Subsidiary, (e) any reclassification of securities (including
any reverse stock split) or recapitalization by the Company, the effect of which
would be to increase the voting power (whether or not currently exercisable) of
a Related Person, (f) any plan or proposal for the liquidation or dissolution of
the Company, (g) any series or combination of transactions having, directly or
indirectly, the same effect as any of the foregoing, and (h) any agreement,
contract or other arrangement providing, directly or indirectly, for any of the
foregoing.
<PAGE>
 
     "Continuing Director" shall mean any member of the Board of Directors who
is not an Affiliate or Associate of 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 an
Affiliate or Associate of 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. Provisions hereof requiring approval by
Continuing Directors shall not be deemed satisfied unless there is at least one
Continuing Director.

     "Exchange Act" shall mean the Securities Exchange Act of 1934, as amended
from time to time.

     "other consideration to be received," for purposes of subparagraph (3) of
this Article, shall include without limitation Common Stock retained by the
Company's existing public shareholders in the event of a Business Combination in
which the Company is the surviving corporation.

     "person" shall mean any individual, sole proprietorship, partnership, joint
venture, trust, unincorporated organization, association, limited liability
company, corporation, company, institution, entity, party or governmental
authority.

     "Related Person" shall mean and include any person or "group" of persons
(as such term is used in Regulation 13D-G under the Exchange Act), and each
Affiliate and Associate of any such person, that individually or collectively is
the Beneficial Owner in the aggregate of not less than 10% of the outstanding
Voting Stock, other than the Company or any employee benefit plan(s) sponsored
by the Company.

     "Subsidiary" shall mean, with respect to any person, a person in which the
person directly or indirectly owns at least a majority of the outstanding voting
securities or other equity interests having the power, under ordinary
circumstances, to elect a majority of the directors, or otherwise to direct the
management and policies, of such person, and any person that is affiliated with
such person.

     "Substantial Part" shall mean more than 5% of the book value of the total
assets of the person in question as of the end of the most recently completed
fiscal year or, in the case of Voting Stock of a Subsidiary, 10% or more of the
outstanding shares of such Subsidiary's Voting Stock.

     "Voting Stock" shall mean all outstanding shares of capital stock of the
Company or other person entitled to vote generally in the election of Directors,
considered for the purposes of this Article as a single class. If the Company
has Voting Stock entitled to more or less than one vote for any such share, each
reference in this Article to a proportion or percentage of shares of Voting
Stock shall be calculated by 
<PAGE>
 
reference to the portion or percentage of votes entitled to be cast by the
holders of such shares.

     For the purpose of this Article, a majority of the Continuing Directors
shall have the power to determine, on the basis of information known to them,
of: (a) the number of shares of Voting Stock of which any person is the
Beneficial Owner, (b) whether a person is a Related Person, (c) whether a person
is an Affiliate or Associate of another person, (d) whether a person has an
agreement, arrangement or understanding with another as to the matters referred
to in the definition of Beneficial Owner herein, (e) whether the assets subject
to any Business Combination constitute a Substantial Part, (f) whether any
Business Combination is one in which a Related Person has an interest (except
proportionately as a shareholder of the Company), (g) the fair market value of
property other than cash or stock, (h) the highest per share price in accordance
with this Article, (i) whether the applicable conditions set forth in this
Article have been met with respect to any Business Combination, and (j) such
other matters with respect to which a determination is required under this
Article.

     A majority of the Continuing Directors then in office shall have the right
to demand that any person who those Directors reasonably believe is a Related
Person (or holds of record shares of Voting Stock Beneficially Owned by any
Related Person) supply the Company with complete information about (a) the
record owner(s) of all shares Beneficially Owned by the persons who those
Directors reasonably believe is a Related Person, (b) the number of, and class
or series of, shares Beneficially Owned by any such person who those Directors
reasonably believe is a Related Person and held of record by each such record
owner and the number(s) of the stock certificates(s) evidencing such shares and
(c) any other factual matter relating to the applicability or effect of this
Article as may reasonably be requested of such person, and that person shall
furnish that information within ten days after receipt of the demand.

                                ARTICLE ELEVEN

     The provisions set forth in Articles Six, Eight and Nine hereof may not be
amended, altered, changed, repealed or rescinded in any respect unless such
action is approved by the affirmative vote of the holders of not less than 75%
of all shares of "Voting Stock" (as defined in Article Ten), considered for
purposes of this Article as one class; the amendment, alteration, change, repeal
or recision of this Article and Article Ten hereof shall require both such 75%
vote and the affirmative vote of the holders of not less than 50% of such Voting
Stock, excluding the vote of any shares owned by a "Related Person" (as defined
in Article Ten), if any (such 50% voting requirement shall not be applicable if
such amendment, alteration, change, repeal or recision is approved by the
affirmative vote of the holders of not less than 90% of such Voting Stock).  The
voting requirement contained in this Article and in Articles Six, Eight, Nine
and Ten hereof shall be in addition to voting requirements imposed by law, other
provisions of these Articles of Incorporation or any designation of preferences
in favor of certain classes or series of classes of shares of capital stock of
the Company.
<PAGE>
 
     EXECUTED as of the 24th day of February, 1998.


                                               EEX CORPORATION


                                               By: /s/ J. K. Hartrick
                                                   -----------------------------
                                                   J. K. Hartrick
                                                   Senior Vice President,
                                                   General Counsel and Secretary