UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C.  20549


                                    FORM 8-K

                                 CURRENT REPORT


     Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934


      Date of Report (Date of earliest event reported)      May 2, 2000
                                                       -------------------



                                  TRITON ENERGY LIMITED
                               ------------------------
             (Exact name of registrant as specified in its charter)



           Cayman  Islands               1-11675                   None
   -----------------------------     ----------------       --------------------
   (State or other jurisdiction of   (Commission            (IRS  Employer
          incorporation)             File  Number)          Identification  No.)


          Caledonian  House,  Jennett  Street
                  P.O.Box  1043
                  George  Town
          Grand  Cayman,  Cayman  Islands                          NA
       --------------------------------------                   ---------
    (Address  of  principal  executive  offices)               (Zip  Code)



  Registrant's telephone number, including area code        (345) 949-0050
                                                     --------------------------




                                       N/A
          (Former name or former address, if changed since last report)



ITEM  5.    OTHER  EVENTS.

     On  May  2,  2000,  Triton  Energy  Limited  (the "Company") issued a press
release reporting financial results for the quarter ended March 31, 2000. A copy
of  the press release is filed as an exhibit to this Current Report on Form 8-K.

     In  April  2000,  a  lawsuit was filed in the High Court of Malaya at Kuala
Lumpur  against  Carigali-Triton  Operating  Company  Sdn.  Bhd.  ("CTOC"),  the
Malaysia-Thailand  Joint  Authority  and  Technip  Geoproduction  (M)  Sdn. Bhd.
("Technip")  by  Pertiwi  Ulung  Sdn.  Bhd.  ("Pertiwi").  CTOC is the operating
company  owned  by  Petronas  Carigali  (JDA)  Sdn.  Bhd.,  a  subsidiary of the
Malaysian  national oil company, the Company and BP to operate their interest in
Block  A-18  of  the  Malaysia-Thailand  Joint  Development  Area in the Gulf of
Thailand.  The  lawsuit  relates  to  the  award  by  CTOC  of  the engineering,
procurement  and  construction  ("EPC")  contract  to a consortium of companies,
including  Technip,  for  the  Cakerawala Field gas-development project. Pertiwi
allegedly  was  to  be a subcontractor for a consortium that was an unsuccessful
bidder  for  the  EPC  contract.  In  this lawsuit, Pertiwi alleges, among other
things,  irregularities  in  the  bidding  process  that  favored  the  Technip
consortium,  and  seeks  an  order  from  the court to have the award of the EPC
contract  to  Technip  set aside, to force CTOC to conduct a new bidding process
among  the four final bidders and the award of an unspecified amount of damages.
CTOC  believes  it  acted  appropriately  in  the conduct of the bid process and
intends  to  defend  this  lawsuit  vigorously.


ITEM  7.    FINANCIAL  STATEMENTS  AND  EXHIBITS.

Exhibit  No.                Description
- -----------                 -----------

99.1                        Press  Release  dated  May  2, 2000.


                                   SIGNATURES


     Pursuant  to  the  requirements of the Securities Exchange Act of 1934, the
registrant  has  duly  caused  this  report  to  be  signed on its behalf by the
undersigned  hereunto  duly  authorized.


                         TRITON  ENERGY  LIMITED



Date:  May  3,  2000                    By:  /s/W.  Greg  Dunlevy
                                             ----------------------------
                                             W. Greg Dunlevy, Vice President,
                                                Finance  and Treasurer