EXHIBIT 10.71

                SECOND AMENDMENT TO RETIREMENT PLAN FOR DIRECTORS
                -------------------------------------------------

     This  Second  Amendment to Retirement Plan for Directors (this "Amendment")
is  executed  by  Triton  Energy  Limited,  a Cayman Islands company ("Triton"),
effective  as  of  May  11,  1999.

                                    RECITALS:
                                    --------

A.     Triton (through its predecessor company) has adopted the Amended and
Restated  Retirement  Plan  for  Directors  (the  "Plan");  and

B.     The  Board  of  Directors  has  adopted  certain  amendments  to the Plan
effective  as  of  May  11,  1999.

NOW,  THEREFORE,  the  Plan  is  amended  in  the  following  respects:

     1.     the  definition  of  "change  in  control",  contained in the second
paragraph  of  Section  3 of the Plan, is hereby amended and restated to read as
follows:

 "For  purposes  hereof,  a  'change  in  control of the Company' 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