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                                                                   EXHIBIT 10.1

                                  AMENDMENT TO
                NONEMPLOYEE DIRECTOR'S STOCK OPTION AGREEMENT(S)


         WHEREAS,   SEAGULL  ENERGY   CORPORATION,   a  Texas  corporation  (the
"Company")  has  previously   adopted  the  SEAGULL  ENERGY   CORPORATION   1993
NONEMPLOYEE DIRECTORS' STOCK OPTION PLAN (the "Directors' Option Plan"); and

         WHEREAS,  certain nonstatutory stock options (collectively,  "Options")
have  heretofore  been granted to the optionee,  a  nonemployee  director of the
Company (the  "Director"),  that are currently  outstanding under the Directors'
Option Plan,  each of such Options being listed on the schedule  attached hereto
and evidenced by a Nonemployee Director's Stock Option Agreement  (collectively,
the "Agreements"); and

         WHEREAS,  the  Company  desires  to amend  the  Agreements  in  certain
respects; and

         WHEREAS, the Board of Directors of the Company has adopted an amendment
to the Agreements and such  amendment has been approved by the  shareholders  of
the Company;

         NOW, THEREFORE,  the Agreements shall be amended as follows,  effective
as of May 14, 1996:

         1.  Paragraph 3 of the  Agreements  shall be deleted and the  following
shall be substituted therefor:

                  "3. Exercise of Option.  Subject to the earlier  expiration of
         this  Option as herein  provided,  this  Option  may be  exercised,  by
         written  notice  to the  Company  at  its  principal  executive  office
         addressed  to  the  attention  of its  Chairman,  President  and  Chief
         Executive Officer,  at any time and from time to time after the date of
         grant hereof,  but,  except as otherwise  provided  below,  this Option
         shall not be  exercisable  for more than a percentage  of the aggregate
         number of shares  offered by this  Option  determined  by the number of
         full years from the date of grant hereof to the date of such  exercise,
         in accordance with the following schedule:


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                                                            Percentage of Shares
                          Number of Full Years             That May Be Purchased

             Less than        1   year                                0%
                              1   year                               20%
                              2   years                              40%
                              3   years                              60%
                              4   years                              80%
                              5   years or more                     100%

                 This  Option is not transferable by Director  otherwise than by
         will or the laws of descent and distribution, and may be exercised only
         by Director (or  Director's  guardian or legal  representative)  during
         Director's  lifetime.  If a  Director's  membership  on  the  Board  of
         Directors of the Company (the "Board")  terminates,  this Option may be
         exercised as follows:

                           (a) If Director's  membership on the Board terminates
                 for cause or voluntarily  by Director not at the request of the
                 Board,  this Option  may be  exercised  by Director at any time
                 during  the period of three months following such  termination,
                 or by  Director's  estate  (or  the person  who  acquires  this
                 Option  by will or  the laws of  descent  and  distribution  or
                 otherwise by reason  of the death of Director)  during a period
                 of one year following  Director's death if Director dies during
                 such  three-month  period,  but in  each  case  only as  to the
                 number of shares  Director was  entitled to purchase  hereunder
                 upon  exercise  of  this  Option  as  of  the  date  Director's
                 membership  on the Board so  terminates.  For  purposes of this
                 Agreement,  "cause" shall mean Director's  gross  negligence or
                 willful misconduct in performance of  his duties as a director,
                 or Director's final conviction  of a felony or of a misdemeanor
                 involving moral turpitude.  For  purposes of this Agreement,  a
                 Director's  termination  by  reason of the mandatory retirement
                 policy  of  the  Board  shall  not   constitute   a   voluntary
                 termination,  and  the  provisions  of  clause  (b)   shall  be
                 applicable  to  any such  termination  by reason  of  mandatory
                 retirement.

                           (b) If Director's  membership on the Board terminates
                 for any  reason  other  than as  described  in clause (a) above
                 (including  without  limitation  because  of Director's  death,
                 disability  or by  reason of mandatory  retirement  pursuant to
                 the policy of the  Board), this Option may be exercised in full
                 by  Director  at  any time  until (i) three  years  after  such
                 termination  or (ii) one year after Director's death, whichever

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                 is later. After Director's death, this Option shall 
                 be exercisable for the periods stated in the immediately
                 preceding sentence by Director's estate (or the person who
                 acquires this Option by will or the laws of descent and 
                 distribution or otherwise by reason of the death of
                 Director). After Director's termination as a director by
                 reason of disability, this Option shall be exercisable for 
                 the periods stated in the first  sentence of this 
                 clause (b) by Director or by Director's guardian or legal 
                 representative.
   
         This Option shall not be exercisable in any event after the expiration
         of ten years from the date of grant hereof. The purchase price of
         shares as to which this Option is exercised shall be paid in full at
         the time of exercise (A) in cash (including check, bank draft or money
         order payable to the order of the Company), (B) by delivering to the
         Company shares of Stock having a fair market value equal to the
         purchase price, or (C) any combination of cash or Stock. No fraction
         of a share of Stock  shall be issued by the  Company  upon  exercise
         of an Option or  accepted  by the  Company in payment of the  purchase 
         price thereof;  rather, Director shall provide a cash payment for such
         amount as is necessary to effect the  issuance  and  acceptance  of
         only whole shares  of  Stock.  Unless  and  until a  certificate  or 
         certificates representing  such  shares  shall  have been  issued by
         the  Company to Director,  Director (or the person permitted to
         exercise this Option in the event of  Director's  death) shall not be
         or have any of the rights or privileges  of a  shareholder  of the
         Company with respect to shares acquirable upon an exercise of this
         Option."
        
         2. As amended  hereby,  the  Agreements are  specifically  ratified and
reaffirmed.

         IN WITNESS  WHEREOF,  the Company has caused this  Agreement to be duly
executed by its officer  thereunto  duly  authorized,  and Director has executed
this Agreement, effective as of May 14, 1996.

                                            


                                                 SEAGULL ENERGY CORPORATION

                                                 By:___________________________
                                                 Chairman, President and
                                                 Chief Executive Officer


                                                 ---------------------------
                                                 Director