EXHIBIT 10.68


                               FIRST AMENDMENT TO
                               ------------------
                AMENDED AND RESTATED 1997 SHARE COMPENSATION PLAN
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     This  First  Amendment  to the Amended and Restated 1997 Share Compensation
Plan  (this  "Amendment") is executed by Triton Energy Limited, a Cayman Islands
company  ("Triton"),  effective  as  of  May  11,  1999.

                                R E C I T A L S:
                                ---------------

     A.     Triton  has adopted the Amended and Restated 1997 Share Compensation
Plan  (the  "Plan")  effective  as  of  December  2,  1998;  and

     B.     In accordance with the terms of the Plan, the Board of Directors has
adopted  certain  amendments  to  the  Plan  effective  as  of  May  11,  1999.

    NOW, THEREFORE, in accordance with the terms of the Plan, the Plan is
amended in the following respects:

1.  The definition of "Change in Control" is amended to read in its entirety as
follows:

"  'Change in  Control' means the occurrence of any of the following events: (i)
there  shall be consummated (x) any consolidation, amalgamation, merger or other
form of business combination of the Company, or to which the Company is a party,
in  which (I) the Company is not the continuing or surviving corporation or (II)
where  the  Company  is  the  continuing or surviving corporation, the Company's
Ordinary  Shares  would be converted into cash, securities or other property, or
the  holders  of  the  Company's  Ordinary  Shares  immediately  prior  to  the
consolidation,  amalgamation, merger or other form of business combination would
represent  less  than  a  majority of the common stock or ordinary shares of the
surviving  corporation immediately after the consolidation, amalgamation, merger
or other form of business combination, or (y) any sale, lease, exchange or other
transfer  (excluding  transfer  by  way  of  pledge  or  hypothecation),  in one
transaction  or  a series of related transactions, of all, or substantially all,
of  the  assets of the Company, (ii) the shareholders of the Company approve any
plan  or  proposal  for the liquidation or dissolution of the Company, (iii) any
'person'  (as  such term is defined in Section 3(a)(9) or Section 13(d)(3) under
the Securities Exchange Act of 1934, as amended (the '1934 Act')) or any 'group'
(as  such term is used in Rule 13d-5 promulgated under the 1934 Act), other than
the  Company or any successor of the Company or any subsidiary of the Company or
any  employee  benefit  plan  of  the  Company or any subsidiary (including such
plan's  trustee),  becomes, without the prior approval of the Board of Directors
of  the  Company  (the  'Board'),  a beneficial owner for purposes of Rule 13d-3
promulgated  under  the  1934  Act, directly or indirectly, of securities of the
Company  representing 25.0% or more of the Company's then outstanding securities
having  the  right  to vote in the election of Directors of the Company, or (iv)
during any period of two consecutive years, individuals who, at the beginning of
such  period constituted the entire Board (the 'Incumbent Directors'), cease for
any  reason  (other than death) to constitute a majority of the Directors of the
Company,  unless  the election, or the nomination for election, by the Company's
shareholders,  of  each new Director of the Company was approved by a vote of at
least  two-thirds  of  the Incumbent Directors (so long as such new Director was
not  nominated by a person who expressed an intent to effect a change in control
of the Company or engage in a proxy or other control contest) in which case such
new  Director  shall  be  considered  an  Incumbent  Director."

     2.     Except  as  amended  by  the provisions of this Amendment, all other
provisions  of  the  Plan  remain  in  full  force  and  effect.

     IN  WITNESS WHEREOF, Triton has caused this Amendment to be executed by its
duly  authorized  officer effective as of the date and year first above written.


                                    TRITON  ENERGY  LIMITED




                                    By:_________________________________
                                       A.E. Turner, III, Senior Vice  President
                                       and Chief Operating  Officer