C
                                                                 Exhibit 10.3.3
                                 AMENDMENT NO. 1
                                     TO THE
                              ATWOOD OCEANICS, INC.
                           1996 INCENTIVE EQUITY PLAN


     Pursuant to the terms and  provisions of Section 9 of the Atwood  Oceanics,
Inc. 1996 Incentive  Equity Plan (the "Plan"),  Atwood  Oceanics,  Inc., a Texas
corporation (the "Company"),  hereby adopts the following Amendment No. 1 to the
Plan (the "Amendment No. 1").

                                       1.

     Subsections  (e),  (f),  (g) and (h) of  Section  6 of the Plan are  hereby
amended in their entirety by substituting the following therefor:

                  "(e)  Transferability  of Options.  The Committee  may, in its
         discretion,  authorize  all or a  portion  of any  Non-Qualified  Stock
         Options to be granted on terms which permit transfer 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 (x) the stock  option  agreement
         pursuant to which such Stock  Options  are granted  must be approved by
         the Committee,  and must  expressly  provide for  transferability  in a
         manner  consistent with this section,  and (y) 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 Stock 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 subsections  (f), (g) and (h) of
         this Section 6 shall continue to apply with respect to the participant,
         in which event the Stock Options shall be exercisable 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 Stock  Option by the  transferee.  The  Company  shall have no
         obligation  whatsoever  to  provide  notice  to any  transferee  of any
         matter,  including  without  limitation,  early  termination of a Stock
         Option on account of termination of employment of the participant.

                  "Except as set forth above and in the applicable  stock option
         agreement, no Stock Option shall be transferable otherwise than by will
         or by laws of descent and distribution,  and all Stock Options shall be
         exercisable,   during   the   participant's   lifetime,   only  by  the
         participant.  At the request of a  participant,  Stock  purchased  upon
         exercise of a Stock Option may be issued or  transferred  into the name
         of  the   participant   and  another  person  jointly  with  rights  of
         survivorship.







                                       -3-

                  "(f)  Termination  by Death.  Subject  to Section  6(i),  if a
         participant's  employment by the Company or any Subsidiary or Affiliate
         terminates by reason of death, any Stock Option theretofore  granted to
         such  participant  may  thereafter be  exercised,  to the extent it was
         exercisable  at the time of death or on such  accelerated  basis as the
         Committee may determine at or after grant, for a period of one year (or
         such other period up to three years as the  Committee may specify) from
         the date of death or until the  expiration  of the stated  term of such
         Stock Option, whichever period is shorter.

                  "(g)  Termination  by  Reason  of  Disability  or  Retirement.
         Subject to Section 6(i), if a  participant's  employment by the Company
         or any  Subsidiary  or Affiliate  terminates by reason of Disability or
         Retirement,  any Stock Option  theretofore  granted to such participant
         may  thereafter be exercised,  to the extent it was  exercisable at the
         time of such termination or on such accelerated  basis as the Committee
         may  determine at or after grant,  for a period of three years (or such
         shorter  period as the Committee may specify at grant) from the date of
         such  termination  of employment or until the  expiration of the stated
         term of such  Stock  Option,  whichever  period is  shorter;  provided,
         however,  that, if the participant  dies within such three-year  period
         (or such shorter  period),  any  unexercised  Stock Option  theretofore
         granted to such  participant  shall  thereafter be exercisable,  to the
         extent to which it was  exercisable at the time of death,  for a period
         of one year from the date of such death or until the  expiration of the
         stated term of such Stock Option,  whichever period is the shorter.  In
         the event of  termination  of  employment  by reason of  Disability  or
         Retirement,  if an  Incentive  Stock  Option  is  exercised  after  the
         expiration  of the exercise  periods that apply for purposes of Section
         422 of the Code,  such Stock  Option shall  thereafter  be treated as a
         Non-Qualified Stock Option.

                  "(h)  Other   Termination  of  Employment.   Unless  otherwise
         determined  by the  Committee  at or after  grant,  if a  participant's
         employment by the Company or any Subsidiary or Affiliate terminates for
         any reason other than death, Disability or Retirement, any Stock Option
         theretofore granted to such participant may thereafter be exercised, to
         the extent it was  exercisable at the time of such  termination,  for a
         period of three months from the date of such  termination of employment
         or until  the  expiration  of the  stated  term of such  Stock  Option,
         whichever  period  is  shorter;   provided,   however,   that,  if  the
         termination  was  for  Cause,  any and all  Stock  Options  theretofore
         granted to such participant shall be immediately canceled."


                                       2.

     Each  amendment  made by this Amendment No. 1 to the Plan has been effected
in conformity with the provisions of
the Plan.






     3.  This  Amendment  No. 1 was  adopted  by the Board of  Directors  of the
Company  on  September  2,  1999.  Approval  of  this  Amendment  No.  1 by  the
shareholders of the Company is not required pursuant to the terms and provisions
of the Plan or by applicable law.

         Dated:  September 2, 1999.


                              ATWOOD OCEANICS, INC.



                              /s/ James M. Holland
                                James M. Holland
                              Senior Vice President