AS  FILED  WITH  THE  SECURITIES  AND  EXCHANGE  COMMISSION  ON  MAY  25,  2001.
                                                REGISTRATION  NO.  333-________


                UNITED STATES SECURITIES AND EXCHANGE COMMISSION

                             WASHINGTON, D.C. 20549

                                    FORM S-8
             REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933

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

                  CAYMAN ISLANDS                        NONE
                (State or other jurisdiction     (I.R.S. Employer
            of incorporation or organization)     Identification No.)

                  CALEDONIAN HOUSE
                   JENNETT STREET
                   P. O. BOX 1043
                    GEORGETOWN
             GRAND CAYMAN, CAYMAN ISLANDS                    NONE
             (Address of principal executive offices)     (Zip Code)



                                ------------------

                 TRITON ENERGY LIMITED 2001 SHARE INCENTIVE PLAN
                            (Full title of the plans)

                                THOMAS J. MURPHY
                            TRITON ENERGY CORPORATION
                    6688 NORTH CENTRAL EXPRESSWAY, SUITE 1400
                              DALLAS, TEXAS  75206
                     (Name and address of agent for service)

                                 (214) 691-5200
                          (Telephone number, including
                        area code, of agent for service)
                           ___________________________

                         CALCULATION OF REGISTRATION FEE




                                                                 
                                    PROPOSED MAXIMUM    PROPOSED MAXIMUM
TITLE OF SECURITIES  AMOUNT TO BE  OFFERING PRICE PER   AGGREGATE OFFERING     AMOUNT OF
TO BE REGISTERED(1)   REGISTERED       SHARE (2)           PRICE (2)         REGISTRATION FEE

Ordinary Shares,
$01.par value per
share                 1,000,000         $26.40              $26,400,000         $6,600



(1)     Pursuant  to  Rule  416,  this  Registration  Statement also covers such
indeterminable  number  of  the  Registrant's ordinary shares as may be issuable
pursuant  to  the  antidilution  provisions  of  the  Plan.
(2)     Estimated  solely  for  the purpose of calculating the registration fee.
Pursuant to Rules 457(c) and 457(h), the offering price and registration fee are
computed  on the basis of the average of the high and low prices of the Ordinary
Shares,  as  reported  by  the  New  York  Stock  Exchange,  on  May  23,  2001.



                                     PART II

               INFORMATION REQUIRED IN THE REGISTRATION STATEMENT


ITEM  3.  INCORPORATION  OF  DOCUMENTS  BY  REFERENCE.

     The  following  documents,  which  have been filed by Triton Energy Limited
(the  "Company") with the Securities and Exchange Commission (the "Commission"),
are  incorporated  herein  by  reference  and  made  a  part  hereof:

     - The  Company's  annual report  on Form  10-K  for  the fiscal year ended
       December  31,  2000  (SEC  file  number  1-11675);

     - The  Company's  quarterly report on Form 10-Q for the quarter ended March
       31,  2001  (SEC  file  number  1-11675);

     - The  Company's  current reports  on  Form  8-K  filed on January 4, 2001,
       February  1,  2001,  March  28, 2001; April 25, 2001; and May 14, 2001
       (SEC file number  1-11675);

     - The Company's definitive proxy statement (filed on March 30, 2001); and

     - the  description of the ordinary shares  contained  in  the  Company's
       Registration  Statement  on  Form  8-A  dated March 25, 1996, as amended
       by Form 8-A/A,  dated  August 14, 1996, Form 8-A/A dated October 2, 1998,
       and Form 8-A/A dated  January  31,  1999  (SEC  file  number  1-11675).

     All  documents  filed  by the Company pursuant to Sections 13(a), 13(c), 14
and  15(d)  of  the  Securities  Exchange Act of 1934, as amended (the "Exchange
Act"),  subsequent  to  the date of this Registration Statement and prior to the
filing  of  a  post-effective amendment which indicates that all of the ordinary
shares  ("Shares")  offered hereunder have been sold or which deregisters all of
such  Shares  then  remaining  unsold,  shall  be  deemed  to be incorporated by
reference  herein  and  to  be  a  part  hereof  from the date of filing of such
documents.  Any  statement  contained in a document incorporated or deemed to be
incorporated  by  reference  herein shall be deemed to be modified or superseded
for  purposes  of  this  Registration  Statement  to the extent that a statement
contained herein or in any other subsequently filed document which also is or is
deemed  to  be  incorporated  by  reference  herein  modifies or supersedes such
statement.  Any  such  statement  so modified or superseded shall not be deemed,
except  as  so modified or superseded, to constitute a part of this Registration
Statement.

ITEM  4.  DESCRIPTION  OF  SECURITIES.

     Not  applicable.

ITEM  5.  INTERESTS  OF  NAMED  EXPERTS  AND  COUNSEL.

     Certain  legal  matters  in  connection  with  the validity of the ordinary
shares offered hereby have been passed upon for the Company by Thomas J. Murphy,
General  Counsel for the Company. Mr. Murphy owns ordinary shares of the Company
and  options  to  purchase  ordinary  shares.

ITEM  6.  INDEMNIFICATION  OF  DIRECTORS  AND  OFFICERS.

     The  Company  is  a Cayman Islands company. Article XXXIII of the Company's
Articles  of  Association contains provisions with respect to indemnification of
the  Company's  officers and directors. Such provisions provide that the Company
shall  indemnify,  in  accordance  with  and to the full extent now or hereafter
permitted by law, any person who was or is a party or is threatened to be made a
party  to  any  threatened,  pending  or  completed  action, suit or proceeding,
whether  civil,  criminal,  administrative  or investigative (including, without
limitation,  an  action  by  or  in  the right of the Company), by reason of his
acting  as a director, officer, employee or agent of, or his acting in any other
capacity  for  or  on  behalf  of, the Company, against any liability or expense
actually  and reasonably incurred by such person in respect thereof. The Company
shall also advance the expenses of defending any such act, suit or proceeding in
accordance  with  and to the full extent now or hereafter permitted by law. Such
indemnification and advancement of expenses are not exclusive of any other right
to  indemnification or advancement of expenses provided by law or otherwise. The
Articles  of  Association  also provide that except under certain circumstances,
directors  of  the  Company shall not be personally liable to the Company or its
shareholders  for monetary damages for breach of fiduciary duties as a director.

     The  Companies  Law  (2000 Revision) of the Cayman Islands does not set out
any  specific  restrictions on the ability of a company to indemnify officers or
directors. However, the application of basic principles and certain Commonwealth
case  law which is likely to be persuasive in the Cayman Islands, would indicate
that indemnification is generally permissible except in the event that there had
been fraud or willful default on the part of the officer or director or reckless
disregard  of  his  duties  and  obligations  to  the  Company.

     Insofar as indemnification for liabilities arising under the Securities Act
may  be  permitted  to  directors,  officers  or persons controlling the Company
pursuant  to  the foregoing provisions, the Company has been advised that in the
opinion  of  the  Commission  such  indemnification  is against public policy as
expressed  in  the  Securities  Act  and  is  therefore  unenforceable.

ITEM  7.  EXEMPTION  FROM  REGISTRATION  CLAIMED.

     Not  applicable.

ITEM  8.  EXHIBITS.

     The  following  is  a  list  of  all  exhibits  filed  as  a  part  of this
Registration  Statement  on  Form  S-8,  including  those incorporated herein by
reference.

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

3.1   Memorandum of Association (previously filed as an exhibit to the Company's
      Registration  Statement  on  Form  S-3  (No  333-08005)  and incorporated
      herein  by reference)
3.2   Articles of Association (previously filed as an exhibit to the Company's
      Registration  Statement  on  Form  S-3  (No  333-08005)  and incorporated
      herein  by reference)
4.1   Specimen Share Certificate of Ordinary Shares, $.01 par value, of  the
      Company (previously  filed  as  an  exhibit to the Company's Registration
      Statement  on  Form  8-A dated  March  25, 1996, and incorporated herein
      by reference)
4.2   Rights  Agreement  dated  as of March 25, 1996, between Triton and The
      Chase Manhattan Bank, as Rights Agent, including, as Exhibit A thereto,
      Resolutions establishing the Junior Preference Shares (previously filed
      as an exhibit  to  the Company's  Registration  Statement on Form S-3
      (No 333-08005) and incorporated  herein by  reference)
4.3   Resolutions  Authorizing  the  Company's  5% Convertible Preference Shares
      (previously filed  as  an  exhibit  to  the  Company's  and Triton  Energy
      Corporation's  Registration Statement  on  Form  S-4 (No. 333-923) and
      incorporated herein by reference)
4.4   Amendment  No.  1  to  Rights  Agreement dated as of August 2,1996,
      between  Triton Energy  Limited  and  The  Chase  Manhattan Bank, as
      Rights Agent(previously  filed  as  an exhibit  to  the  Company's
      Registration Statement on Form 8-A/A (Amendment  No.  1) dated August 14,
      1996,  and  incorporated herein by reference)
4.5   Amendment  No.  2  to  Rights Agreement dated as of August 30, 1998,
      between  Triton Energy  Limited  and The Chase Manhattan Bank, as Rights
      Agent (previously  filed as  an  exhibit  to  the Company's Registration
      Statement on Form 8-A/A  (Amendment  No.2) dated October 2, 1998, and
      incorporated herein by reference)
4.6   Unanimous  Written  Consent  of  the  Board  of  Directors authorizing  a
      Series of Preference Shares (previously  filed as an exhibit to the
      Company's Quarterly Report on Form 10-Q for the quarter ended September
      30, 1998, and incorporated  herein  by  reference.)
4.7   Amendment  No.  3 to Rights Agreement dated as of January 5,1999,  between
      Triton Energy  Limited  and  The  Chase  Manhattan Bank, as Rights Agent
      (previously  filed as  an  exhibit to the Company's Registration Statement
      on Form 8-A/A  (Amendment  No.3)  dated January 31, 1999, and incorporated
      herein by reference)
5.1*  Opinion  of  General  Counsel.
23.1* Consent  of  PricewaterhouseCoopers  LLP.
23.2* Consent  of  DeGolyer  and  MacNaughton.
23.3* Consent  of  Netherland, Sewell & Associates, Inc.
23.4* Consent of General Counsel (included in his opinion filed as Exhibit  5.1
      to  this  Registration  Statement)
24*   Power  of  Attorney  (included in the signature page of this registration
      statement)
___________________
*  Filed  herewith.


ITEM  9.  UNDERTAKINGS.

     (a)   The  undersigned  registrant  hereby  undertakes:

          (1)  To  file,  during  any  period in which offers or sales are being
made,  a  post-effective  amendment  to  this  registration  statement:

                    (i)     To  include  any  prospectus  required  by  section
10(a)(3)  of  the  Securities  Act;

                    (ii)     To  reflect  in  the prospectus any facts or events
arising  after  the  effective  date  of the registration statement (or the most
recent  post-effective  amendment  thereof)  which,  individually  or  in  the
aggregate,  represent  a  fundamental change in the information set forth in the
registration  statement;

                    (iii)     To  include  any material information with respect
to  the  plan  of  distribution  not  previously  disclosed  in the registration
statement  or  any  material  change  to  such  information  in the registration
statement;

provided,  however, that paragraphs (a)(1)(i) and (a)(1)(ii) do not apply if the
information  required  to  be  included  in  a post-effective amendment by those
paragraphs  is  contained  in  periodic  reports  filed with or furnished to the
Commission  by  the  Company  pursuant  to  Section  13  or Section 15(d) of the
Exchange  Act  that are incorporated by reference in the registration statement.

          (2)     That,  for  the purpose of determining any liability under the
Securities  Act,  each such post-effective amendment shall be deemed to be a new
registration  statement  relating  to  the  securities  offered therein, and the
offering  of such securities at that time shall be deemed to be the initial bona
fide  offering  thereof.

          (3)     To  remove  from  registration  by  means  of a post-effective
amendment  any  of  the  securities  being registered which remain unsold at the
termination  of  the  offering.

(b)     The  undersigned  registrant  hereby  undertakes  that,  for purposes of
determining  any  liability  under  the  Securities  Act,  each  filing  of  the
registrant's  annual  report  pursuant  to Section 13(a) or Section 15(d) of the
Exchange  Act  (and, where applicable, each filing of an employee benefit plan's
annual  report  pursuant  to  Section  15(d)  of  the  Exchange  Act)  that  is
incorporated  by reference in the registration statement shall be deemed to be a
new  registration  statement relating to the securities offered therein, and the
offering  of such securities at that time shall be deemed to be the initial bona
fide  offering  thereof.

     (c)     Insofar  as  indemnification  for  liabilities  arising  under  the
Securities  Act  may be permitted to directors, officers and controlling persons
of  the  registrant  pursuant  to  the  foregoing  provisions, or otherwise, the
registrant  has  been  advised  that  in  the  opinion  of  the  Commission such
indemnification  is  against  public  policy  as  expressed  in  the Act and is,
therefore,  unenforceable. In the event that a claim for indemnification against
such  liabilities (other than the payment by the registrant of expenses incurred
or  paid  by  a director, officer or controlling person of the registrant in the
successful  defense  of  any  action,  suit  or  proceeding) is asserted by such
director,  officer or controlling person in connection with the securities being
registered, the registrant will, unless in the opinion of its counsel the matter
has  been  settled  by  controlling  precedent, submit to a court of appropriate
jurisdiction  the  question whether such indemnification by it is against public
policy as expressed in the Act and will be governed by the final adjudication of
such  issue.



                                POWER OF ATTORNEY

     Each  person  whose  signature appears below authorizes James C. Musselman,
A.E. Turner, III, and W. Greg Dunlevy, or any of them, to execute in the name of
each  such  person  who  is then an officer or director of the Registrant and to
file  any  amendments  to  this Registration Statement necessary or advisable to
enable the Registrant to comply with the Securities Act of 1933, as amended, and
any  rules,  regulations  and  requirements  of  the  Securities  and  Exchange
Commission,  in  respect  thereof,  in  connection  with the registration of the
securities  which  are  the  subject  of  this  Registration  Statement,  which
amendments  may make such changes in the Registration Statement as such attorney
may  deem  appropriate.

                                   SIGNATURES

     Pursuant to the requirements of the Securities Act of 1933, as amended, the
Registrant certifies that it has reasonable grounds to believe that it meets all
of the requirements for filing on Form S-8 and has duly caused this Registration
Statement  to  be  signed  on  its  behalf  by  the  undersigned, thereunto duly
authorized,  in  the  City  of  Dallas,  State  of  Texas,  on  May  25,  2001.


                                           TRITON  ENERGY  LIMITED


                                           By:/s/James  C.  Musselman
                                              -----------------------
                                              James C. Musselman, President and
                                              Chief Executive Officer


                                              /s/W.  Greg  Dunlevy
                                              -----------------------
                                              W. Greg Dunlevy, Senior Vice
                                              President, Chief Financial Officer
                                              and Treasurer (Principal Financial
                                              and Accounting Officer)






     Pursuant  to  the  requirements  of  the  Securities Act, this Registration
Statement  has  been  signed  on  May  15,  2001 by the following persons in the
capacities  indicated.

          SIGNATURE                      TITLE
          ---------                      -----



 ---------------------------              Chairman of the Board of Directors
(Thomas  O.  Hicks)



/s/  James  C. Musselman
- ----------------------------              President, Chief Executive Officer and
(James  C.  Musselman)                    Director (Principal Executive Officer)



/s/  Tom  C.  Davis
- ----------------------------              Director
(Tom  C.  Davis)



/s/  Sheldon  R.  Erikson
- ----------------------------              Director
(Sheldon  R.  Erikson)



/s/  Jack  D.  Furst
- ----------------------------              Director
(Jack  D.  Furst)



- ----------------------------              Director
(John  R.  Huff)



/s/  Michael  E.  McMahon
- ----------------------------              Director
(Michael  E.  McMahon)



/s/  Lamar  Norsworthy
- ----------------------------              Director
(Lamar  Norsworthy)



/s/  C.  Richard  Vermillion
- ----------------------------             Director
(C.  Richard  Vermillion)



/s/  J.  Otis  Winters
- ----------------------------             Director
(J.  Otis  Winters)



                                INDEX TO EXHIBITS

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

3.1   Memorandum of Association (previously filed as an exhibit to the Company's
      Registration  Statement  on  Form  S-3  (No  333-08005)  and incorporated
      herein  by reference)
3.2   Articles of Association (previously filed as an exhibit to the Company's
      Registration  Statement  on  Form  S-3  (No  333-08005)  and incorporated
      herein  by reference)
4.1   Specimen Share Certificate of Ordinary Shares, $.01 par value, of  the
      Company (previously  filed  as  an  exhibit to the Company's Registration
      Statement  on  Form  8-A dated  March  25, 1996, and incorporated herein
      by reference)
4.2   Rights  Agreement  dated  as of March 25, 1996, between Triton and The
      Chase Manhattan Bank, as Rights Agent, including, as Exhibit A thereto,
      Resolutions establishing the Junior Preference Shares (previously filed
      as an exhibit  to  the Company's  Registration  Statement on Form S-3
      (No 333-08005) and incorporated  herein by  reference)
4.3   Resolutions  Authorizing  the  Company's  5% Convertible Preference Shares
      (previously filed  as  an  exhibit  to  the  Company's  and Triton  Energy
      Corporation's  Registration Statement  on  Form  S-4 (No. 333-923) and
      incorporated herein by reference)
4.4   Amendment  No.  1  to  Rights  Agreement dated as of August 2,1996,
      between  Triton Energy  Limited  and  The  Chase  Manhattan Bank, as
      Rights Agent(previously  filed  as  an exhibit  to  the  Company's
      Registration Statement on Form 8-A/A (Amendment  No.  1) dated August 14,
      1996,  and  incorporated herein by reference)
4.5   Amendment  No.  2  to  Rights Agreement dated as of August 30, 1998,
      between  Triton Energy  Limited  and The Chase Manhattan Bank, as Rights
      Agent (previously  filed as  an  exhibit  to  the Company's Registration
      Statement on Form 8-A/A  (Amendment  No.2) dated October 2, 1998, and
      incorporated herein by reference)
4.6   Unanimous  Written  Consent  of  the  Board  of  Directors authorizing  a
      Series of Preference Shares (previously  filed as an exhibit to the
      Company's Quarterly Report on Form 10-Q for the quarter ended September
      30, 1998, and incorporated  herein  by  reference.)
4.7   Amendment  No.  3 to Rights Agreement dated as of January 5,1999,  between
      Triton Energy  Limited  and  The  Chase  Manhattan Bank, as Rights Agent
      (previously  filed as  an  exhibit to the Company's Registration Statement
      on Form 8-A/A  (Amendment  No.3)  dated January 31, 1999, and incorporated
      herein by reference)
5.1*  Opinion  of  General  Counsel.
23.1* Consent  of  PricewaterhouseCoopers  LLP.
23.2* Consent  of  DeGolyer  and  MacNaughton.
23.3* Consent  of  Netherland, Sewell & Associates, Inc.
23.4* Consent of General Counsel (included in his opinion filed as Exhibit  5.1
      to  this  Registration  Statement)
24*   Power  of  Attorney  (included in the signature page of this registration
      statement)

___________________
*  Filed  herewith.