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                                                                    EXHIBIT 99.7

                         NOTICE OF GUARANTEED DELIVERY
                                   TO TENDER
                    OUTSTANDING 8 7/8% SENIOR NOTES DUE 2007
                                       OF

                             TRITON ENERGY LIMITED
      PURSUANT TO THE EXCHANGE OFFER AND PROSPECTUS DATED NOVEMBER 8, 2000

     As set forth in the Prospectus, dated November 8, 2000 (as the same may be
amended or supplemented from time to time, the "Prospectus") of Triton Energy
Limited (the "Company") under the caption "Exchange Offer -- Guaranteed Delivery
Procedures" and in the Letter of Transmittal to Tender 8 7/8% Senior Notes due
2007 of Triton Energy Limited, this form or one substantially equivalent hereto
must be used to accept the Exchange Offer (as defined below) if: (i)
certificates for outstanding 8 7/8% Senior Notes due 2007 (the "Old Notes") of
the Company are not immediately available, (ii) time will not permit all
required documents to reach the Exchange Agent on or prior to the Expiration
Date (as defined below), or (iii) the procedures for book-entry transfer cannot
be completed on or prior to the Expiration Date. This form may be delivered by
facsimile transmission, by registered or certified mail, by hand, or by
overnight delivery service to the Exchange Agent. See "Exchange
Offer -- Procedures for Tendering" in the Prospectus.

     THE EXCHANGE OFFER AND WITHDRAWAL RIGHTS WILL EXPIRE AT 5:00 P.M., NEW YORK
CITY TIME, ON DECEMBER 7, 2000 (THE "EXPIRATION DATE"), UNLESS THE EXCHANGE
OFFER IS EXTENDED BY THE COMPANY.

                 THE EXCHANGE AGENT FOR THE EXCHANGE OFFER IS:

                            THE CHASE MANHATTAN BANK

                        By Registered or Certified Mail,
                        by Overnight Courier or by Hand:

                            The Chase Manhattan Bank
                       Corporate Trust-Securities Window
                            Room 234, North Building
                                55 Water Street
                            New York, New York 10041

                              Attn: Edwina Osborne


                                 By Facsimile:
                                 (212) 638-7375

                             Confirm by Telephone:
                                 (212) 638-0459

    (Originals of all documents sent by facsimile should be sent promptly by
                                   registered
         or certified mail, by hand, or by overnight delivery service.)

DELIVERY OF THIS NOTICE OF GUARANTEED DELIVERY TO AN ADDRESS OR TRANSMISSION OF
 INSTRUCTIONS VIA FACSIMILE OTHER THAN AS SET FORTH ABOVE WILL NOT CONSTITUTE A
                                VALID DELIVERY.

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Ladies and Gentlemen:

     The undersigned hereby tenders to the Company, upon the terms and
conditions set forth in the Prospectus and in the Letter of Transmittal (which
together constitute the "Exchange Offer"), receipt of which is hereby
acknowledged, the principal amount of Old Notes set forth below pursuant to the
guaranteed delivery procedures described in the Prospectus and in the Letter of
Transmittal.

     The undersigned understands and acknowledges that the Exchange Offer will
expire at 5:00 P.M., New York City time, on December 7, 2000, unless extended by
the Company.

     All authority herein conferred or agreed to be conferred by this Notice of
Guaranteed Delivery shall survive the death or incapacity of the undersigned and
every obligation of the undersigned under this Notice of Guaranteed Delivery
shall be binding upon the heirs, personal representatives, executors,
administrators, successors, assigns, trustees in bankruptcy and other legal
representatives of the undersigned.


                                                          
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                               DESCRIPTION OF OLD NOTES TENDERED
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   CERTIFICATE NUMBER(S) (IF
           KNOWN) OF
OLD NOTES OR ACCOUNT NUMBER AT
              THE                 AGGREGATE PRINCIPAL AMOUNT
      BOOK-ENTRY FACILITY          REPRESENTED BY OLD NOTES        PRINCIPAL AMOUNT TENDERED
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                                            Total:                          Total:
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                                   PLEASE SIGN AND COMPLETE
  Signature(s):
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                                            Address:
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                                           (Zip Code)

                                            Name(s):
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                 Capacity (full title), if signing in a representative capacity:
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  Area Code and Telephone Number:
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                                                              Taxpayer Identification or Social
  Dated:
- -----------------------------------------------------------------------------------------------         Security
Number:
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             THE GUARANTEE ON THE FOLLOWING PAGE MUST BE COMPLETED

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                                   GUARANTEE
                   (Not to be used for signature guarantees)

     The undersigned, being a member firm of a registered national securities
exchange, a member of the National Association of Securities Dealers, Inc., or a
commercial bank or trust company having an office in the United States, hereby
guarantees (a) that the above named person(s) "own(s)" the Old Notes tendered
hereby within the meaning of Rule 14e-4 ("Rule 14e-4") under the Securities
Exchange Act of 1934, as amended, (b) that such tender of such Old Notes
complies with Rule 14e-4, and (c) to deliver to the Exchange Agent the
certificates representing the Old Notes tendered hereby or confirmation of
book-entry transfer of such Old Notes into the Exchange Agent's account at The
Depository Trust Company, in proper form for transfer, together with the Letter
of Transmittal (or facsimile thereof), properly completed and duly executed,
with any required signature guarantees and any other required documents, within
three New York Stock Exchange trading days after the Expiration Date.

Name of Firm:
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Address:
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Area Code and Telephone No.:
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Authorized Signature:
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Name:
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Title:
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Dated:
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NOTE: DO NOT SEND CERTIFICATES OF OLD NOTES WITH THIS FORM. CERTIFICATES OF OLD
      NOTES SHOULD BE SENT ONLY WITH A LETTER OF TRANSMITTAL.

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