EXHIBIT 10.74



                                 AMENDMENT NO. 4
                                 ---------------
                  1981 EMPLOYEE NONQUALIFIED STOCK OPTION PLAN
                  --------------------------------------------

     This  Amendment  No.  4 to the 1981 Employee Nonqualified Stock Option 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 1981 Employee Nonqualified Stock Option Plan
(the  "Plan");  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",  contained in the second
sentence  of  Section  8  of  the  Plan,  is  amended to read in its entirety as
follows:

" As used herein, the term 'Change in  Control' shall mean 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