EXHIBIT 10.81

                           AMENDMENT TO STOCK OPTIONS

     This agreement ("Agreement") is entered into as of January 3, 2000, between
Triton  Energy  Limited,  a  Cayman  Islands  company  (the  "Company"), and the
undersigned  holder  of  stock  options  of  the  Company  ("Holder").

     WHEREAS,  Holder  and  the Company are parties to that certain Stock Option
Agreement  dated as of January 12, 1998 pursuant to which the Holder was granted
a  stock option (the "Option") to purchase 75,000 ordinary shares of the Company
under  the  Company's 1997 Share Compensation Plan (as amended, the "Plan"), and
the  Company  and  Holder  desire  that  the Option should be amended in certain
respects;

     NOW  THEREFORE, in consideration of the mutual agreements contained herein,
and  other good and valuable consideration, the receipt and sufficiency of which
are  hereby  acknowledged,  the  parties  hereto  hereby  agree  as  follows:

     1.     The Option is hereby amended so that it shall terminate and cease to
be  exercisable on January 12, 2005, subject to the remaining terms of the Plan.

     2.     This Agreement is intended to be performed in the State of Texas and
shall  be  construed and enforced in accordance with and governed by the laws of
Texas.

     IN WITNESS WHEREOF, the parties have executed this Agreement as of the date
and  year  first  above  written.

                              TRITON  ENERGY  LIMITED


                              By:____________________________________
                                 James C. Musselman, President and Chief
                                 Executive Officer


                              OPTION  HOLDER:


                              __________________________________________
                              A. E. Turner, III