Exhibit 10.1.4
                             AMENDMENT NO. 1 TO THE
                              ATWOOD OCEANICS, INC.
                             STOCK OPTION AGREEMENT
                            (1990 Stock Option Plan)

     THIS AMENDMENT NO. 1 TO ATWOOD  OCEANICS,  INC. STOCK OPTION AGREEMENT (the
"Amendment") is dated as of ______________________,  1999, by and between ATWOOD
OCEANICS,     INC.,    a    Texas     corporation    (the    "Company"),     and
________________________________________ ("Participant").

                               W I T N E S E T H:

     WHEREAS,  the Company has adopted the 1990 Stock  Option Plan (the  "Plan")
for the  granting  of options  to  purchase  shares of the  Common  Stock of the
Company to key  employees  of the  Company or its  subsidiaries,  subject to the
terms and  conditions  as more  particularly  set forth  therein;  and  WHEREAS,
capitalized  terms used but not defined  herein shall have the meanings given to
them in the Plan; and WHEREAS, pursuant to Section 1.8 of the Plan, the Board of
Directors  of the  Company  has  amended  the  Plan to  allow  the  Compensation
Committee of the Board of Directors  the (the  "Committee")  to  authorized  the
transferability,  under certain  conditions,  of the Stock Options granted under
the Plan, pursuant to that certain Amendment No. 1 to the Atwood Oceanics,  Inc.
1990  Stock  Option  Plan  dated  _________________________,   1999  (the  "Plan
Amendment");  and Page 2 WHEREAS,  in  furtherance  of the Plan  Amendment,  the
Committee has authorized the  transferability of the Stock Options granted under
the  Plan to the  Participant,  under  the  conditions  set  forth  in the  Plan
Amendment;  and WHEREAS, in accordance with such authorization,  the Company and
the Participant desire to amend that certain Atwood Oceanics,  Inc. Stock Option
Agreement dated  _____________________  between the Company and Participant (the
"Agreement"), and the Committee has approved this Amendment, in order to reflect
the authorized  transferability  of the Stock Options  granted under the Plan to
the  Participant and the conditions  therefor,  as more  particularly  set forth
herein. NOW THEREFORE, in consideration of the premises and the mutual covenants
herein  contained  and for other and  valuable  consideration,  the  receipt and
sufficiency  of which  are  hereby  acknowledge,  the  parties  hereto  agree as
follows:  Section 1. The first  sentence of Section 2 of the Agreement  shall be
deleted  in its  entirety.  Section  2. The last  paragraph  of Section 3 of the
Agreement  shall  be  deleted  in its  entirety.  Section  3.  Section  5 of the
Agreement  is hereby  amended in its  entirety  by  substituting  the  following
therefor: "5. This Option granted hereby and all rights hereunder, to the extent
such rights shall not have been  exercised,  shall terminate and become null and
void on, and this option  shall be  exercisable  (only to the extent such option
was  exercisable  upon  the  date of  death  of the  Participant  or the date of
termination of the  Participant's  employment  with the Company,  as applicable)
only  until  (i) the  expiration  of one  year  from  the  date of  death of the
Participant  or the  expiration  of the stated  term of such  option,  whichever
occurs first;  or (ii) the  expiration of three months after the  termination of
the Participant's employment with the Company for any

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         reason  other  than death or the  expiration  of the sated term of such
         option,  which  ever  occurs  first;  provided,  however,  that  if the
         Participant  dies within the three month  period the three month period
         (or such shorter period ending upon expiration of the sated term of the
         option) following termination of the Participant's  employment with the
         Company,  termination  of the option shall occur pursuant to clause (i)
         above.  In no event may the option  granted  hereby be exercised to any
         extent after the  Expiration  Date  specified  in Section 1 above.  The
         employment of the  Participant  shall be deemed to continue  during any
         leave of absence  which has been  authorized  by the Company,  provided
         that no  exercise  of this  option  may  take  place  during  any  such
         authorized  leave of absence  excepting  only  during  the first  three
         months  thereof."  Section  4.  Section  7 of the  Agreement  is hereby
         amended in its entirety by substituting the following
therefor:
                           "7. The option  and the right and  privilege  granted
         hereby  may be  transferred  by the  Participant  to  (i)  the  spouse,
         children or grandchildren  of the  Participant,  (ii) a trust or trusts
         for the exclusive  benefit of the spouse,  children or grandchildren of
         the Participant or (iii) a partnership in which the spouse, children or
         grandchildren  of the  Participant  are the only partners;  provided in
         each case that  subsequent  transfers of  transferred  options shall be
         prohibited except those made in accordance with this section or by will
         or by the laws of descent and  distribution.  Following  transfer,  any
         such  options  shall  continue  to be  subject  to the same  terms  and
         conditions  as were  applicable  immediately  prior  to  transfer.  The
         provisions  with  respect to  termination  of  employment  set forth in
         Section 5 of this Agreement shall continue to apply with respect to the
         Participant, in which event the options shall be exercisable

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         by the  transferee  only to the  extent and for the  periods  specified
         herein.  The Participant will remain subject to withholding  taxes upon
         exercise of any such options by  transferee.  The Company shall have no
         obligation  whatsoever  to  provide  notice  to any  transferee  of any
         matter, including without limitation, early termination of an option on
         account of termination of employment of the Participant.
                  Except as set forth  above,  no option  shall be  transferable
         otherwise than by will or by the laws descent and distribution, and all
         options shall be exercisable, during the Participant's lifetime only by
         the Participant.  Section 5. Section 9 shall be amended in its entirety
         by substituting the following therefor:
                           "9.  Subject to the provisions of Section 1.20 of the
         Plan, if dissolution or liquidation or combination in which the Company
         is not the surviving  corporation  occurs, the option holder shall have
         the right immediately prior to such  dissolution,  liquidation,  merger
         consolidation  or  combination  to exercise,  in whole or in part,  his
         remaining options whether or not then  exercisable.  Also, in the event
         that a Change of  Control,  as  defined  in the Plan,  occurs  with the
         Company, any and all options will become automatically fully vested and
         immediately  exercisable."  Section 6. Due to the fact that the options
         granted under the Plan are now transferable, all references in the
Agreement to "Option Holder" shall be changed to refer to the "Participant."
         Section 7. Except as expressly  amended hereby all of the covenants and
agreements of the parties which are set forth in the Agreement are  incorporated
herein  with the same  force  and  effect  as if set  forth  at  length  in this
Amendment.


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         Section  8.  This  Amendment  is  executed  and  shall   constitute  an
instrument  supplemental  to and in  amendment  of the  Agreement,  and shall be
construed with and as part of the Agreement.
         Section 9. Except as modified and expressly  amended by this  Amendment
and any other supplement or amendment, the Agreement is in all respects ratified
and confirmed,  and all of the terms, provisions and conditions thereof shall be
and remain in full force and effect.
         Section 10. Any capitalized term used but not defined herein shall have
the meaning attributable to such term in the Agreement.
         Section  11.  This   Amendment   may  be  executed  in  any  number  of
counterparts,  each of which shall be deemed an original for all  purposes,  and
all of which together shall constitute one and the same instrument.
         EXECUTED as of the date first set forth above.

                                          ATWOOD OCEANICS, INC.



                                          By:___________________________________
                                          James M. Holland
                                          Senior Vice President


                                          PARTICIPANT:



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