EXHIBIT 4.10   



                              TRITON ENERGY LIMITED
                     Form of TEL Debt Warrant Agreement<F1>


          THIS WARRANT AGREEMENT dated as of __________, 199_ between Triton
Energy Limited, a Cayman Islands company (hereinafter called the "Company,"
which term includes any successor corporation under the Indenture hereinafter
referred to) and _________________________, as Warrant Agent (herein called the
"Warrant Agent").

          WHEREAS, the Company has entered into an indenture (the "[Senior]
[Senior Subordinated] [Subordinated] Indenture") dated as of [FOR SENIOR DEBT: 
_______________, between the Company and The Chase Manhattan Bank, as trustee
(the "Senior Trustee")] [FOR SENIOR SUBORDINATED DEBT:  ________________,
between the Company and United States Trust Company of New York, as trustee
(the "Senior Subordinated Trustee") [FOR SUBORDINATED DEBT: 
__________________, between the Company and The Chase Manhattan Bank, as
trustee (the "Subordinated Trustee")], providing for the issuance from time to
time of its unsecured [senior] [senior subordinated] [subordinated] debentures,
notes or other evidences of indebtedness (the "[Senior] [Senior Subordinated]
[Subordinated] Debt Securities"), to be issued in one or more series as
provided in the [Senior] [Senior Subordinated] [Subordinated] Indenture; [if
Warrant Securities are not under same Indenture as Debt Securities to which
they are attached -- and an Indenture (the "[Senior] [Senior Subordinated]
[Subordinated] Indenture," the Senior, Senior Subordinated and Subordinated
Indentures being referred to collectively as the "Indentures") dated as of
____________ between the Company and ____________________, as trustee (the
"[Senior] [Senior Subordinated] [Subordinated] Trustee," (the Senior, Senior
Subordinated and Subordinated Trustees being referred to collectively as the
"Trustee"), providing for the issuance from time to time of its [senior]
[senior subordinated] [subordinated] debentures, notes or other evidences of
indebtedness (the "[Senior] [Senior Subordinated] [Subordinated] Debt
Securities", the [Senior] [Senior Subordinated] and [Subordinated] Debt
Securities being referred to collectively as the "Debt Securities"), to be
issued in one or more series as provided in the [________________] Indenture];
and

          WHEREAS, the Company proposes to sell [if Warrants are sold with Debt
Securities or Preferred Shares -- [title of Debt Securities or Preferred Shares
being offered] (the "Offered Securities") with] warrant certificates evidencing
one or more warrants (the "Warrants" or individually a "Warrant") representing
the right to purchase [title of Debt Securities purchasable through exercise of
Warrants] (the "Warrant Securities"), such warrant certificates and other
warrant certificates issued pursuant to this Agreement being herein called the
"Warrant Certificates"; and

          WHEREAS, the Company desires the Warrant Agent to act on behalf of
the Company in connection with the issuance, exchange, exercise and replacement
of the Warrant Certificates, and in this Agreement wishes to set forth, among
other things, the form and provisions of the Warrant Certificates and the terms
and conditions on which they may be issued, exchanged, exercised and replaced;

          NOW THEREFORE, in consideration of the premises and of the mutual
agreements herein contained, the parties hereto agree as follows:

                                   ARTICLE I.

                     ISSUANCE OF WARRANTS AND EXECUTION AND
                        DELIVERY OF WARRANT CERTIFICATES

          SECTION 1.1.  Issuance of Warrants.  [If Warrants alone -- Upon
issuance, each Warrant Certificate shall evidence one or more Warrants.]  [If
Offered Securities and Warrants -- Warrants shall be [initially] issued in
connection with the issuance of the Offered Securities [but shall be separately
transferable on and after _______________ (the "Detachable Date")] [and shall
not be separately transferable] and each Warrant Certificate shall evidence one
or more Warrants.]  Each Warrant evidenced thereby shall represent the right,
subject to the provisions contained herein and therein, to purchase a Warrant
Security in the principal amount of ____________.  [If Offered Securities and
Warrants -- Warrant Certificates shall be initially issued in units with the
Offered Securities and each Warrant Certificate included in such a unit shall
evidence __________ Warrants for each [__________ principal amount] [________
shares] of Offered Securities included in such unit.]

          SECTION 1.2.  Execution and Delivery of Warrant Certificates.  Each
Warrant Certificate, whenever issued, shall be in [registered] [bearer] form
substantially in the form set forth in Exhibit A hereto, shall be dated
____________ and may have such letters, numbers, or other marks of
identification or designation and such legends or endorsements printed,
lithographed or engraved thereon as the officers of the Company executing the
same may approve (execution thereof to be conclusive evidence of such approval)
and as are not inconsistent with the provisions of this Agreement, or as may be
required to comply with any law or with any rule or regulation made pursuant
thereto or with any rule or regulation of any stock exchange on which the
Warrants may be listed, or to conform to usage.  The Warrant Certificates shall
be executed on behalf of the Company by [the Chairman of the Board, the
President, any Senior Vice President or any Vice President and by the Secretary
or any Assistant Secretary] under its corporate seal reproduced thereon.  Such
signatures may be manual or facsimile signatures of such authorized officers
and may be imprinted or otherwise reproduced in the Warrant Certificates.  The
seal of the Company may be in the form of a facsimile thereof and may be
impressed, affixed, imprinted or otherwise reproduced on the Warrant
Certificates.

          No Warrant Certificates shall be valid for any purpose, and no
Warrant evidenced thereby shall be exercisable, until such Warrant Certificate
has been countersigned by the manual signature of the Warrant Agent.  Such
signature by the Warrant Agent upon any Warrant Certificate executed by the
Company shall be conclusive evidence that the Warrant Certificate so
countersigned has been duly issued hereunder.

          In case any officer of the Company who shall have signed any of the
Warrant Certificates either manually or by facsimile signature shall cease to
be such officer before the Warrant Certificates so signed shall have been
countersigned and delivered by the Warrant Agent, such Warrant Certificates may
be countersigned and delivered notwithstanding that the person who signed such
Warrant Certificates ceased to be such officer of the Company; and any Warrant
Certificate may be signed on behalf of the Company by such persons as, at the
actual date of the execution of such Warrant Certificate, shall be the proper

officers of the Company, although at the date of the execution of this
Agreement any such person was not such officer.

          The term "holder" or "holder of a Warrant Certificate" as used herein
shall mean [the bearer of such Warrant Certificate] [any person in whose name
at the time any Warrant Certificate shall be registered upon the books to be
maintained by the Warrant Agent for that purpose] [If Offered Securities and
Warrants are not immediately detachable -- or [the bearer] [upon the register]
of the Offered Securities prior to the Detachable Date.  [Prior to the
Detachable Date, the Company will, or will cause the registrar of the Offered
Securities to, make available at all times to the Warrant Agent such
information as to holders of the Offered Securities with Warrants as may be
necessary to keep the Warrant Agent's records up to date]].

          SECTION 1.3.  Issuance of Warrant Certificates.  Warrant Certificates
evidencing the right to purchase an aggregate principal amount not exceeding
____________ aggregate principal amount of Warrant Securities (except as
provided in Sections 1.4, 2.3(c), 3.2 and ____) may be executed by the Company
and delivered to the Warrant Agent upon the execution of this Warrant Agreement
or from time to time thereafter.  The Warrant Agent shall, upon receipt of
Warrant Certificates duly executed on behalf of the Company, countersign
Warrant Certificates evidencing Warrants representing the right to purchase up
to __________ principal amount of Warrant Securities and shall deliver such
Warrant Certificates to or upon the order of the Company.  Subsequent to such
issuance of the Warrant Certificates, the Warrant Agent shall countersign a
Warrant Certificate only if the Warrant Certificate is issued in exchange or
substitution for one or more previously countersigned Warrant Certificates or
in connection with their transfer, as hereinafter provided or as provided in
Section 2.3(c).

          SECTION 1.4.  Temporary Warrant Certificate.  Pending the preparation
of definitive Warrant Certificates, the Company may execute, and upon the order
of the Company, the Warrant Agent shall authenticate and deliver, temporary
Warrant Certificates which are printed, lithographed, typewritten, mimeographed
or otherwise produced substantially of the tenor of the definitive Warrant
Certificate in lieu of which they are issued and with such appropriate
insertions, omissions, substitutions and other variations as the officers
executing such Warrant Certificates may determined, as evidenced by their
execution of such Warrant Certificates.

          If temporary Warrant Certificates are issued, the Company will cause
definitive Warrant Certificates to be prepared without unreasonable delay. 
After the preparation of definitive Warrant Certificates, the temporary Warrant
Certificates shall be exchangeable for definitive Warrant Certificates upon
surrender of the temporary Warrant Certificates at the corporate trust office
of the Warrant Agent [or _______________], without charge to the Holder.  Upon
surrender for cancellation of any one or more temporary Warrant Certificates
the Company shall execute and the Warrant Agent shall authenticate and deliver
in exchange therefor definitive Warrant Certificates representing the same
aggregate number of Warrants.  Until so exchanged, the temporary Warrant
Certificates shall in all respects be entitled to the same benefits under this
Agreement as definitive Warrant Certificates.

                                   ARTICLE II.

                           WARRANT PRICE, DURATION AND
                              EXERCISE OF WARRANTS

          SECTION 2.1.  Warrant Price.  During the period from ____________,
through and including ____________, the exercise price of each Warrant shall be
__________ plus [accrued amortization of the original issue discount] [accrued
interest] from ____________.  During the period from __________, through and
including __________, the exercise price of each Warrant will be __________
plus [accrued amortization of the original issue discount] [accrued interest]
from ____________.  [In each case, the original issue discount will be
amortized at a ____% annual rate, computed on an annual basis using the
"interest" method and using a 360-day year consisting of twelve 30-day months]. 
Such purchase price of Warrant Securities is referred to in this Agreement as
the "Warrant Price".  [The original issue discount for each __________
principal amount of Warrant Securities is ____________.]

          SECTION 2.2.  Duration of Warrants.  Each Warrant may be exercised in
whole at any time, as specified herein, on or after [the date thereof]
[____________] and at or before 5 P.M., [New York City time], on ____________
[or such later date as the Company may designate, by notice to the Warrant
Agent and the holders of Warrant Certificates mailed to their addresses as set
forth in the record books of the Warrant Agent] (the "Expiration Date").  Each
Warrant not exercised at or before 5 P.M., [New York City time], on the
Expiration Date shall become void, and all rights of the holder of the Warrant
Certificate evidencing such Warrant under this Agreement shall cease.

          SECTION 2.3.  Exercise of Warrants.  (a)  During the period specified
in Section 2.2 any whole number of Warrants may be exercised by providing
certain information as set forth on the reverse side of the Warrant Certificate
and by paying in full, in lawful money of the United States of America [in cash
or by certified check or official bank check or by bank wire transfer, in each
case,] [by bank wire transfer] [in immediately available funds] the Warrant
Price for each Warrant exercised, to the Warrant Agent at its corporate trust
office [or at ____________], provided that such exercise is subject to receipt
within five business days of such [payment] [wire transfer] by the Warrant
Agent of the Warrant Certificate with the form of election to purchase Warrant
Securities set forth on the reverse side of the Warrant Certificate properly
completed and duly executed [including any applicable certifications if the
Warrant Securities are issuable in bearer form].  The date on which payment in
full of the Warrant Price is received by the Warrant Agent shall, subject to
receipt of the Warrant Certificate as aforesaid, be deemed to be the date on
which the Warrant is exercised.  The Warrant Agent shall deposit all funds
received by it in payment of the Warrant Price in an account of the Company
maintained with it and shall advise the Company by telephone at the end of each
day on which a [payment] [wire transfer] for the exercise of Warrants is
received of the amount so deposited to its account.  The Warrant Agent shall
promptly confirm such telephone advice to the Company in writing.

          (b)  The Warrant Agent shall, from time to time, as promptly as
practicable, advise the Company and the [Trustee under the Indenture relating
to the Warrant Securities] of (i) the number of Warrants exercised, (ii) the
instructions of each holder of the Warrant Certificates evidencing such
Warrants with respect to delivery of the Warrant Securities to which such
holder is entitled upon such exercise, (iii) delivery of Warrant Certificates
evidencing the balance, if any, of the Warrants remaining after such exercise,

and (iv) such other information as the Company or such Trustee shall reasonably
require.

          (c)  As promptly as practicable after the exercise of any Warrant,
the Company shall issue, pursuant to the Indenture, in authorized denominations
to or upon the order of the holder of the Warrant Certificate evidencing such
Warrant, the Warrant Securities to which such holder is entitled, in fully
registered form, registered in such name or names as may be directed by such
holder.  If fewer than all of the Warrants evidenced by such Warrant
Certificate are exercised, the Company shall execute, and an authorized officer
of the Warrant Agent shall manually countersign and deliver, a new Warrant
Certificate evidencing the number of such Warrants remaining unexercised.  

          (d)  The Company shall not be required to pay any stamp or other tax
or other governmental charge required to be paid in connection with any
transfer involved in the issue of the Warrant Securities, and in the event that
any such transfer is involved, the Company shall not be required to issue or
deliver any Warrant Security until such tax or other charge shall have been
paid or it has been established to the Company's satisfaction that no such tax
or other charge is due.


                                  ARTICLE III.

                       OTHER PROVISIONS RELATING TO RIGHTS
                       OF HOLDERS OF WARRANT CERTIFICATES

          SECTION 3.1.  No Rights as Warrant Securityholder Conferred by
Warrants or Warrant Certificates.  No Warrant Certificates or Warrant evidenced
thereby shall entitle the holder thereof to any of the rights of a holder of
Warrant Securities, including, without limitation, the right to receive the
payment of principal of, premium, if any, or interest on Warrant Securities or
to enforce any of the covenants in the Indenture relating to the Warrant
Securities.

          SECTION 3.2.  Lost, Stolen, Mutilated or Destroyed Warrant
Certificates.  Upon receipt by the Warrant Agent of evidence reasonably
satisfactory to it and the Company of the Ownership of and the loss, theft,
destruction or mutilation of any Warrant Certificate and of indemnity
reasonably satisfactory to the Warrant Agent and the Company, and, in the case
of mutilation, upon surrender thereof to the Warrant Agent for cancellation,
then, in the absence of notice to the Company or the Warrant Agent that such
Warrant Certificate has been acquired by a bona fide purchaser, the Company
shall execute, and an authorized officer of the Warrant Agent shall manually
countersign and deliver, in exchange for or in lieu of the lost, stolen,
destroyed or mutilated Warrant Certificate, a new Warrant Certificate of the
same tenor and evidencing a like number of Warrants.  Upon the issuance of any
new Warrant Certificate under this Section, the Company may require the payment
of a sum sufficient to cover any tax or other governmental charge that may be
imposed in relation thereto and any other expenses (including the fees and
expenses of the Warrant Agent) in connection therewith.  Every substitute
Warrant Certificate executed and delivered pursuant to this Section in lieu of
any lost, stolen or destroyed Warrant Certificate shall represent an additional
contractual obligation of the Company, whether or not the lost, stolen or
destroyed Warrant Certificate shall be at any time enforceable by anyone, and
shall be entitled to the benefits of this Agreement equally and proportionately
with any and all other Warrant Certificates duly executed and delivered

hereunder.  The provisions of this Section are exclusive and shall preclude (to
the extent lawful) all other rights and remedies with respect to the
replacement of mutilated, lost, stolen or destroyed Warrant Certificates.

          SECTION 3.3.  Holder of Warrant Certificate May Enforce Rights. 
Notwithstanding any of the provisions of this Agreement, any holder of a
Warrant Certificate, without the consent of the Warrant Agent, the Trustee, the
holder of any Warrant Securities or the holder of any other Warrant
Certificate, may, in his own behalf and for his own benefit, enforce, and may
institute and maintain any suit, action or proceeding against the Company
suitable to enforce, or otherwise in respect of, his right to exercise the
Warrants evidenced by his Warrant Certificate in the manner provided in his
Warrant Certificate and in this Agreement.

          SECTION 3.4.  Consolidation, Merger, Sale or Conveyance.  If at any
time there shall be a consolidation merger, sale or conveyance to which Article
___ of the Indenture relating to the Warrant Securities applies, then in any
such event the successor or assuming corporation referred to therein shall
succeed to and be substituted for the Company, with the same effect, subject to
such Indenture, as if it had been named herein and in the Warrant as the
Company; the Company shall thereupon be relieved of any further obligation
hereunder or under the Warrants, and the Company as the predecessor corporation
may thereupon or at any time thereafter be dissolved, wound up or liquidated. 
Such successor or assuming corporation thereupon may cause to be signed, and
may issue either in its own name or in the name of the Company, any or all of
the Warrants issuable hereunder which theretofore shall not have been signed by
the Company, and may execute and deliver Warrant Securities in its own name
pursuant to such Indenture, in fulfillment of its obligations to deliver
Warrant Securities upon exercise of the Warrants.  All the Warrants so issued
shall in all respects have the same legal rank and benefit under this Agreement
as the Warrants theretofore or thereafter issued in accordance with the terms
of this Agreement as though all of such Warrants had been issued at the date of
the execution hereof.  In any case of any such consolidation, merger, sale or
conveyance, such changes in phraseology and form (but not in substance) may be
made in the Warrants thereafter to be issued as may be appropriate.

          The Warrant Agent may receive a written opinion of legal counsel as
conclusive evidence that any such consolidation, merger, sale or conveyance
complies with the provisions of this Section 3.4 and such Indenture.


                                   ARTICLE IV.

                              EXCHANGE AND TRANSFER
                            OF WARRANT CERTIFICATES.

          SECTION 4.1.  Exchange and Transfer of Warrant Certificates,  [If
Offered Securities with Warrants which are immediately detachable -- Upon] [If
Offered Securities with Warrants which are not immediately detachable -- Prior
to the Detachable Date a Warrant Certificate may be exchanged or transferred
only together with the Offered Security to which the Warrant Certificate was
initially attached, and only for the purpose of effecting or in conjunction
with an exchange or transfer of such Offered Security.  Prior to any Detachable
Date, each transfer of the Offered Security on the register of the Offered
Securities shall operate also to transfer the related Warrant Certificates. 
After the Detachable Date upon] surrender at the corporate trust office of the
Warrant Agent [or ________], Warrant Certificates evidencing Warrants may be

exchanged for Warrant Certificates in other denominations evidencing such
Warrants [or the transfer thereof may be registered in whole or in part];
provided that such other Warrant Certificates evidence the same aggregate
number of Warrants as the Warrant Certificates so surrendered.  [The Warrant
Agent shall keep, at its corporate trust office [and at ________], books in
which, subject to such reasonable regulations as it may prescribe, it shall
register Warrant Certificates and exchanges and transfers of outstanding
Warrant Certificates, upon surrender of the Warrant Certificates to the Warrant
Agent at its corporate trust office [or ________] for exchange or registration
of transfer, properly endorsed or accompanied by appropriate instruments of
registration of transfer and written instructions for transfer, all in form
satisfactory to the Company and the Warrant Agent.]  No service charge shall be
made for any exchange [or registration of transfer] of Warrant Certificates,
but the Company may require payment of a sum sufficient to cover any stamp or
other tax or other governmental charge that may be imposed in connection with
any such exchange [or registration of transfer].  Whenever any Warrant
Certificates are so surrendered for exchange [or registration of transfer], an
authorized officer of the Warrant Agent shall manually countersign and deliver
to the person or persons entitled thereto a Warrant Certificate or Warrant
Certificates duly authorized and executed by the Company, as so requested.  The
Warrant Agent shall not be required to effect any exchange [or registration of
transfer] which will result in the issuance of a Warrant Certificate evidencing
a fraction of a Warrant or a number of full Warrants and a fraction of a
Warrant.  All Warrant Certificates issued upon any exchange [or registration of
transfer] of Warrant Certificates shall be the valid obligations of the
Company, evidencing the same obligations, and entitled to the same benefits
under this Agreement, as the Warrant Certificate surrendered for such exchange
[or registration of transfer].

          SECTION 4.2.  Treatment of Holders of Warrant Certificates.  [If
Offered Securities and Warrants are not immediately detachable -- Prior to the
Detachable Date, the Company, the Warrant Agent and all other persons may treat
the owner of the Offered Security as the owner of the Warrant Certificates
initially attached thereto for any purpose or as the person entitled to
exercise the rights represented by the Warrants evidenced by such Warrant
Certificates, any notice to the contrary notwithstanding.  After the Detachable
Date,] [if registered Warrants -- and prior to due presentment of a Warrant
Certificate for registration for registration of transfer,] the Company, the
Warrant Agent and all other persons may treat the holder of a Warrant
Certificate as the owner thereof for any purpose and as the person entitled to
exercise the rights represented by the Warrants evidenced thereby, any notice
to the contrary notwithstanding.

          SECTION 4.3.  Cancellation of Warrant Certificates.  Any Warrant
Certificates surrendered for exchange[, registration of transfer] or exercise
of the Warrants evidenced thereby shall, if surrendered to the Company, be
delivered to the Warrant Agent and all Warrant Certificates surrendered or so
delivered to the Warrant Agent shall be promptly cancelled by the Warrant Agent
and shall not be reissued and, except as expressly permitted by this Agreement,
no Warrant Certificate shall be issued hereunder in exchange or in lieu
thereof.  The Warrant Agent shall deliver to the Company from time to time or
otherwise dispose of cancelled Warrant Certificates in a manner satisfactory to
the Company.

                                   ARTICLE V.

                          CONCERNING THE WARRANT AGENT.

          SECTION 5.1.  Warrant Agent.  The Company hereby appoints
__________________________ as Warrant Agent of the Company in respect of the
Warrants and the Warrant Certificates upon the terms and subject to the
conditions herein set forth; and __________________________ hereby accepts such
appointment.  The Warrant Agent shall have the powers and authority granted to
and conferred upon it in the Warrant Certificates and hereby and such further
powers and authority to act on behalf of the Company as the Company may
hereafter grant to or confer upon it.  All of the terms and provisions with
respect to such powers and authority contained in the Warrant Certificates are
subject to and governed by the terms and provisions hereof.

          SECTION 5.2.  Conditions of Warrant Agent's Obligations.  The Warrant
Agent accepts its obligations herein set forth upon the terms and conditions
hereof, including the following to all of which the Company agrees and to all
of which the rights hereunder of the holders from time to time of the Warrant
Certificates shall be subject:

     (a)  Compensation and Indemnification.  The Company agrees promptly to pay
the Warrant Agent the compensation to be agreed upon with the Company for all
services rendered by the Warrant Agent and to reimburse the Warrant Agent for
reasonable out-of-pocket expenses (including counsel fees) incurred by the
Warrant Agent in connection with the services rendered hereunder by the Warrant
Agent.  The Company also agrees to indemnify the Warrant Agent for, and to hold
it harmless against, any loss, liability or expense incurred without negligence
or bad faith on the part of the Warrant Agent, arising out of or in connection
with its acting as Warrant Agent hereunder, as well as the costs and expenses
of defending against any claim of such liability.

     (b)  Agent for the Company.  In acting under this Warrant Agreement and in
connection with the Warrant Certificates, the Warrant Agent is acting solely as
agent of the Company and does not assume any obligations or relationship of
agency or trust for or with any of the holders of Warrant Certificates or
beneficial owners of Warrants.

     (c)  Counsel.  The Warrant Agent may consult with counsel satisfactory to
it, and the written advice of such counsel shall be full and complete
authorization and protection in respect of any action taken, suffered or
omitted by it hereunder in good faith and in accordance with the advice of such
counsel.

     (d)  Documents.  The Warrant Agent shall be protected and shall incur no
liability for or in respect of any action taken or thing suffered by it in
reliance upon any Warrant Certificate, notice, direction, consent, certificate,
affidavit, statement or other paper or document reasonably believed by it to be
genuine and to have been presented or signed by the proper parties.

     (e)  Certain Transactions.  The Warrant Agent, and its officers, directors
and employees, may become the owner of, or acquire any interest in, Warrants,
with the same rights that it or they would have if it were not the Warrant
Agent hereunder, and, to the extent permitted by applicable law, it or they may
engage or be interested in any financial or other transaction with the Company
and may act on, or as depositary, trustee or agent for, any committee or body
of holders of Warrant Securities or other obligations of the Company as freely

as if it were not the Warrant Agent hereunder.  Nothing in the Warrant
Agreement shall be deemed to prevent the Warrant Agent from acting as Trustee
under any of the Indentures.

     (f)  No Liability for Interest.  Unless otherwise agreed with the Company,
the Warrant Agent shall have no liability for interest on any monies at any
time received by it pursuant to any of the provisions of this Agreement or of
the Warrant Certificates.

     (g)  No Liability for Invalidity.  The Warrant Agent shall have no
liability with respect to any invalidity of this Agreement or any of the
Warrant Certificates (except as to the Warrant Agent's countersignature
thereon).

     (h)  No Responsibility for Representations.  The Warrant Agent shall not
be responsible for any of the recitals or representations herein or in the
Warrant Certificates (except as to the Warrant Agent's countersignature
thereon), all of which are made solely by the Company.

     (i)  No Implied Obligations.  The Warrant Agent shall be obligated to
perform only such duties as are herein and in the Warrant Certificates
specifically set forth and no implied duties or obligations shall be read into
this Agreement or the Warrant Certificates against the Warrant Agent.  The
Warrant Agent shall not be under any obligation to take any action hereunder
which may tend to involve it in any expense or liability, the payment of which
within a reasonable time is not, in its reasonable opinion, assured to it.  The
Warrant Agent shall not be accountable or under any duty or responsibility for
the use by the Company of any of the Warrant Certificates authenticated by the
Warrant Agent and delivered by it to the Company pursuant to this Agreement or
for the application by the Company of the proceeds of the Warrant Certificates. 
The Warrant Agent shall have no duty or responsibility in case of any default
by the Company in the performance of its covenants or agreements contained
herein or in the Warrant Certificates or in the case of the receipt of any
written demand from a holder of a Warrant Certificate with respect to such
default, including, without limiting the generality of the foregoing, any duty
or responsibility to initiate or attempt to initiate any proceedings at law or
otherwise or, except as provided in Section 6.2 hereof, to make any demand upon
the Company.

          SECTION 5.3.  Resignation and Appointment of Successor.  (a)  The
Company agrees, for the benefit of the holders from time to time of the Warrant
Certificates, that there shall at all times be a Warrant Agent hereunder until
all the Warrants have been exercised or are no longer exercisable.

          (b)  The Warrant Agent may at any time resign as such agent by giving
written notice to the Company of such intention on its part, specifying the
date on which its desired resignation shall become effective; provided that
such date shall not be less than three months after the date on which such
notice is given unless the Company otherwise agrees.  The Warrant Agent
hereunder may be removed at any time by the filing with it of an instrument in
writing signed by or on behalf of the Company and specifying such removal and
the date when it shall become effective.  Such resignation or removal shall
take effect upon the appointment by the Company, as hereinafter provided, of a
successor Warrant Agent (which shall be a bank or trust company authorized
under the laws of the jurisdiction of its organization to exercise corporate
trust powers) and the acceptance of such appointment by such successor Warrant
Agent.  The obligation of the Company under Section 5.2(a) shall continue to

the extent set forth therein notwithstanding the resignation or removal of the
Warrant Agent.

          (c)  In case at any time the Warrant Agent shall resign, or shall be
removed, or shall become incapable of acting, or shall be adjudged a bankrupt
or insolvent, or shall commence a voluntary case under the Federal bankruptcy
laws, as now or hereafter constituted, or under any other applicable Federal or
State bankruptcy, insolvency or similar law or shall consent to the appointment
of or taking possession by a receiver, custodian, liquidator, assignee,
trustee, sequestrator (or other similar official) of the Warrant Agent or its
property or affairs, or shall make an assignment for the benefit of creditors,
or shall admit in writing its inability to pay its debts generally as they
become due, or shall take corporate action in furtherance of any such action,
or a decree or order for relief by a court having jurisdiction in the premises
shall have been entered in respect of the Warrant Agent in an involuntary case
under the Federal bankruptcy laws, as now or hereafter constituted, or any
other applicable Federal or State bankruptcy, insolvency or similar law; or a
decree or order by a court having jurisdiction in the premises shall have been
entered for the appointment of a receiver, custodian, liquidator, assignee,
trustee, sequestrator (or similar official) of the Warrant Agent or of its
property or affairs, or any public officer shall take charge or control of the
Warrant Agent or of its property or affairs for the purpose of rehabilitation,
conservation, winding up or liquidation, a successor Warrant Agent, qualified
as aforesaid, shall be appointed by the Company by an instrument in writing,
filed with the successor Warrant Agent.  Upon the appointment as aforesaid of a
successor Warrant Agent and acceptance by the successor Warrant Agent of such
appointment, the Warrant Agent shall cease to be Warrant Agent hereunder.

          (d)  Any successor Warrant Agent appointed hereunder shall execute,
acknowledge and deliver to its predecessor and to the Company an instrument
accepting such appointment hereunder, and thereupon such successor Warrant
Agent, without any further act, deed or conveyance, shall become vested with
all the authority, rights, powers, trusts, immunities, duties and obligations
of such predecessor with like effect as if originally named Warrant Agent
hereunder, and such predecessor, upon payment of its charges and disbursements
then unpaid, shall thereupon become obligated to transfer, deliver and pay
over, and such successor Warrant Agent shall be entitled to receive, all
monies, securities and other property on deposit with or held by such
predecessor, as Warrant Agent hereunder.

          (e)  Any corporation into which the Warrant Agent hereunder may be
merged or converted or any corporation with which the Warrant Agent may be
consolidated, or any corporation resulting from any merger, conversion or
consolidation to which the Warrant Agent shall be a party or any corporation to
which the Warrant Agent shall be a party ,or any corporation to which 
substantially all the assets and business of the Warrant Agent, provided that
it shall be qualified as aforesaid, shall be the successor Warrant Agent under
this Agreement without the execution or filing of any paper or any further act
on the part of any of the parties hereto.


                                   ARTICLE VI.

                                  MISCELLANEOUS

          SECTION 6.1.  Amendment.  (a)  This Agreement may be amended by the
parties hereto, without the consent of the holder of any Warrant Certificate,

for the purpose of curing any ambiguity, or of curing, correcting or
supplementing any defective provision contained herein, or making any other
provisions with respect to matters or questions arising under this Agreement as
the Company and the Warrant Agent may deem necessary or desirable; provided
that such action shall not affect adversely the interests of the holders of the
Warrant Certificates.

          (b)  The Company and the Warrant Agent may modify or amend this
Agreement and the Warrant Certificates, with the consent of not fewer than a
majority in number of the then outstanding unexercised Warrants affected by
such modification or amendment, for any purpose; provided, however, that no
such modification or amendment that decreases or increases the Exercise Price,
shortens the period of time during which the Warrants may be exercised or
otherwise materially and adversely affects the exercise rights of the Holders
or reduces the percentage of outstanding Warrants the consent of the holder of
which is required for modification or amendment of this Agreement or the
Warrant Certificates, may be made without the consent of each holder affected
thereby.   

          SECTION 6.2.  Notices and Demands to the Company and Warrant Agent. 
If the Warrant Agent shall receive any notice or demand addressed to the
Company by the holder of a Warrant Certificate pursuant to the provisions of
the Warrant Certificates, the Warrant Agent shall promptly forward such notice
or demand to the Company.

          SECTION 6.3.  Addresses.  Any communication from the Company to the
Warrant Agent with respect to this Agreement shall be addressed to
____________________________________, _____________, Attention: 
____________________ and any communication from the Warrant Agent to the
Company with respect to this Agreement shall be addressed to Triton Energy
Limited, Caledonian House, Mary Street, P.O. Box 1043, George Town, Grand
Cayman, Cayman Islands (or such other address as shall be specified in writing
by the Warrant Agent or by the Company).

          SECTION 6.4.  Applicable Law.  The validity, interpretation and
performance of this Agreement and each Warrant Certificate issued hereunder and
of the respective terms and provisions thereof shall be governed by, and
construed in accordance with, the laws of the State of New York.

          SECTION 6.5.  Delivery of Prospectus.  The Company will furnish to
the Warrant Agent sufficient copies of a prospectus relating to the Warrant
Securities deliverable upon exercise of the Warrants (the "Prospectus"), and
the Warrant Agent agrees that upon the exercise of any Warrant, the Warrant
Agent will deliver to the holder of the Warrant Certificate evidencing such
Warrant, prior to or concurrently with the delivery of the Warrant Securities
issued upon such exercise, a Prospectus.  The Warrant Agent shall not, by
reason of any such delivery, assume any responsibility for the accuracy or
adequacy of such Prospectus.

          SECTION 6.6.  Obtaining of Governmental Approvals.  The Company will
from time to time take all action which may be necessary to obtain and keep
effective any and all permits, consents and approvals of governmental agencies
and authorities and securities acts filings under United States Federal and
State laws (including without limitation a registration statement in respect of
the Warrants and Warrant Securities under the Securities Act of 1933), which
may be or become requisite in connection with the issuance, sale, transfer, and
delivery of the Warrant Securities issued upon exercise of the Warrant

Certificates, the exercise of the Warrants, the issuance, sale, transfer and
delivery of the Warrants or upon the expiration of the period during which the
Warrants are exercisable.

          SECTION 6.7.  Persons Having Rights under Warrant Agreement.  Nothing
in this Agreement shall give to any person other than the Company, the Warrant
Agent and the holders of the Warrant Certificates any right, remedy or claim
under or by reason of this Agreement.

          SECTION 6.8.  Headings.  The descriptive headings of the several
Articles and Sections of this Agreement are inserted for convenience only and
shall not control or affect the meaning or construction of any of the
provisions hereof.

          SECTION 6.9.  Counterparts.  This Agreement may be executed in any
number of counterparts, each of which as so executed shall be deemed to be an
original, but such counterparts shall together constitute but one and the same
instrument.

          SECTION 6.10.  Inspection of Agreement.  A copy of this Agreement
shall be available at all reasonable times at the principal corporate trust
office of the Warrant Agent for inspection by the holder of any Warrant
Certificate.  The Warrant Agent may require such holder to submit his Warrant
Certificate for inspection by it.


          IN WITNESS WHEREOF, Triton Energy Limited and
______________________________ have caused this Agreement to be signed by their
respective duly authorized officers, and their respective corporate seals to be
affixed hereunto, and the same to be attested by their respective Secretaries
or one of their respective Assistant Secretaries, all as of the day and year
first above written.

                                              TRITON ENERGY LIMITED


                                              By _________________________
                                                 Title:

Attest:

_________________________
Title:
                                              [WARRANT AGENT]


                                              By _________________________
                                                 Title:

Attest:

_________________________
Title:

                                                                    Exhibit A


                           FORM OF WARRANT CERTIFICATE
                          [Face of Warrant Certificate]


[Form of Legend if Offered Securities   Prior to _______________ this Warrant
with Warrants which are not             Certificate cannot be transferred or
immediately detachable.                 exchanged unless attached to a [Title
                                        of Offered Securities].]

[Form of Legend if Warrants are not     Prior to _______________, Warrants
immediately exercisable.                evidence by this Warrant Certificate
                                        cannot be exercised.]


                EXERCISABLE ONLY IF COUNTERSIGNED BY THE WARRANT
                            AGENT AS PROVIDED HEREIN


                              TRITON ENERGY LIMITED
                              WARRANTS TO PURCHASE
                          [Title of Warrant Securities]

     VOID AFTER 5 P.M. [NEW YORK CITY TIME], ON _______________


No. __________                                             __________ Warrants  

          This certifies that [the bearer is the] [_________________________ or
registered assigns is the registered] owner of the above indicated number of
Warrants, each Warrant entitling such owner [if Offered Securities with
Warrants which are not immediately detachable -- , subject to the [bearer]
[registered owner] qualifying as a "holder" of this Warrant Certificate, as
hereinafter defined] to purchase, at any time [after 5 P.M., [New York City
time], on _______________ and] on or before 5 P.M., [New York City time], on
_______________, __________ principal amount of [Title of Warrant Securities]
(the "Warrant Securities"), of Triton Energy Limited (the "Company"), issued
and to be issued under the Indenture (as hereinafter defined), on the following
basis:  during the period from _______________, through and including
_______________ the exercise price of each Warrant will be ________ plus
[accrued amortization of the original issue discount] [accrued interest] from
_______________; during the period from _______________, through and including
_______________, the exercise price of each Warrant will be ________ plus
[accrued amortization of the original issue discount] [accrued interest] from
_______________; [in each case, the original issue discount will be amortized
at a ___% annual rate, computed on an annual basis using the "interest" method
and using a 360-day year consisting of twelve 30-day months] (the "Warrant
Price").  [The original issue discount for each ________ principal amount of
Warrant Securities is ________.]  The holder may exercise the Warrants
evidenced hereby by providing certain information set forth on the back hereof,
including any applicable certifications if the Warrant Securities are issuable
in bearer form, and by paying in full in lawful money of the United States of
America [in cash or by certified check or official bank check or by bank wire
transfer, in each case,] [by bank wire transfer] in immediately available

funds, the Warrant Price for each Warrant exercised to the Warrant Agent (as
hereinafter defined) and by surrendering this Warrant Certificate, with the
purchase form on the back hereof duly executed, at the corporate trust office
of ____________________, or its successor as warrant agent (the "Warrant
Agent"), [or ____________] currently at the address specified on the reverse
hereof, and upon compliance with and subject to the conditions set forth herein
and in the Warrant Agreement (as hereinafter defined).

          The term "holder" as used herein shall mean [if Offered Securities
with Warrants which are not immediately detachable -- , prior to ____________
(the "Detachable Date"), the registered owner of the Company's [title of
Offered Securities] to which this Warrant Certificate is initially attached,
and after such Detachable Date,] [the bearer of this Warrant Certificate] [the
person in whose name at the time this Warrant Certificate shall be registered
upon the books to be maintained by the Warrant Agent for that purpose pursuant
to Section 4.1 of the Warrant Agreement].

          Any whole number of Warrants evidenced by this Warrant Certificate
may be exercised to purchase Warrant Securities in registered form in
denominations of ____________ and any integral multiples thereof.  Upon any
exercise of fewer than all of the Warrants evidenced by this Warrant
Certificate, there shall be issued to the holder hereof a new Warrant
Certificate evidencing the number of Warrants remaining unexercised.

          This Warrant Certificate is issued under and in accordance with the
Warrant Agreement dated as of ____________ (the "Warrant Agreement") between
the Company and the Warrant Agent and is subject to the terms and provisions
contained in the Warrant Agreement, to all of which terms and provisions the
holder of this Warrant Certificate consents by acceptance hereof.  Copies of
the Warrant Agreement are on file at the above-mentioned office of the Warrant
Agent [and at _______________].

          The Warrant Securities to be issued and delivered upon the exercise
of the Warrants evidenced by this Warrant Certificate will be issued under and
in accordance with an indenture (the "Indenture"), dated as of [FOR SENIOR
DEBT: ________________, between the Company and The Chase Manhattan Bank] [FOR
SENIOR SUBORDINATED DEBT:  _________, between the Company and United States
Trust Company of New York] [FOR SUBORDINATED DEBT:  _______________, between
the Company and The Chase Manhattan Bank, as trustee (the "Trustee"), and will
be subject to the terms and provisions contained in the Indenture.  Copies of
the Indenture and the form of the Warrant Securities are on file at the
corporate trust office of the Trustee [and at _______________].

          [If Offered Securities with Warrants which are not immediately
detachable -- Prior to ____________, this Warrant Certificate may be exchanged
or transferred only together with the [Title of Offered Securities] ("Offered
Securities") to which this Warrant Certificate was initially attached, and only
for the purpose of effecting, or in conjunction with, an exchange or transfer
of such Offered Security.  After such date, this] [if Offered Securities with
Warrants which are immediately detachable -- Transfer of this] Warrant
Certificate may be registered when this Warrant Certificate is surrendered at
the corporate trust office of the Warrant Agent [or ____________] by the
registered owner or his assigns, in person or by an attorney duly authorized in
writing, in the manner and subject to the limitations provided in the Warrant
Agreement.] [effected by delivery and the Company and the Warrant Agent may
treat the bearer hereof as the owner for all purposes.]

          [If Offered Securities with Warrants which are not immediately
detachable -- Except as provided in the immediately preceding paragraph, after]
[If Offered Securities with Warrants which are immediately detachable or
Warrants alone -- After] countersignature by the Warrant Agent and prior to the
expiration of this Warrant Certificate, this Warrant Certificate may be
exchanged at the corporate trust office of the Warrant Agent [or ____________]
for Warrant Certificates representing the same aggregate number of Warrants.

          This Warrant Certificate shall not entitle the holder hereof to any
of the rights of a holder of the Warrant Securities, including, without
limitation, the right to receive payments of principal of, premium, if any, or
interest, if any, on the Warrant Securities or to enforce any of the covenants
of the Indenture.

          This Warrant Certificate shall not be valid or obligatory for any
purpose until countersigned by the Warrant Agent.

          Dated as of ____________, 199_.

                                        TRITON ENERGY LIMITED



                                        By: _____________________

Attest:



_____________________________

Countersigned:


[WARRANT AGENT], 
  As Warrant Agent  



By: _________________________
      Authorized Signature

                        [Reverse of Warrant Certificate]
                      Instructions for Exercise of Warrant


          To exercise the Warrants evidenced hereby, the holder must pay in
Dollars [in cash or by certified check or official bank check or by bank wire
transfer] [by bank wire transfer] [in immediately available funds] the Warrant
Price in full for Warrants exercised to _____________________, [corporate trust
department] [insert address of Warrant Agent], Attn. __________ [or
____________], which [payment] [wire transfer] must specify the name of the
holder and the number of Warrants exercised by such holder.  In addition, the
holder must complete the information required below and present this Warrant
Certificate in person or by mail (certified or registered mail is recommended)
to the Warrant Agent at the appropriate address set forth below.  This Warrant
Certificate, completed and duly executed, must be received by the Warrant Agent
within five business days of the [payment] [wire transfer].


                     To Be Executed Upon Exercise of Warrant

          The undersigned hereby irrevocably elects to exercise ____________
Warrants, evidenced by this Warrant Certificate, to purchase ____________
principal amount of the [Title of Warrant Securities ] (the "Warrant
Securities") of Triton Energy Limited and represents that he has tendered
payment for such Warrant Securities in Dollars [in cash or by certified check
or official bank check or by bank wire transfer, in each case] [by bank wire
transfer] in immediately available funds to the order of Triton Energy Limited,
c/o _________________________, [address of Warrant Agent], in the amount of
____________ in accordance with the terms hereof.  The undersigned requests
that said principal amount of Warrant Securities be in the authorized
denominations, registered in such names and delivered all as specified in
accordance with the instructions set forth below.  

          If the number of Warrants exercised is less than all of the Warrants
evidenced hereby, the undersigned requests that a new Warrant Certificate
representing the remaining Warrants evidenced hereby be issued and delivered to
the undersigned unless otherwise specified in the instructions below.

Dated:  ____________________               Name__________________________

______________________________             Address_______________________
(Insert Social Security or Other
Identifying Number of Holder)                     _______________________

[If registered Warrant -- Signature        Signature_____________________
Guaranteed                                      [If registered Warrant --
___________________________________]            (Signature must conform in all
                                                respects to name of holder as
                                                specified on face of this
                                                Warrant Certificate and must
                                                bear a signature guarantee by
                                                a bank, trust company or
                                                member broker of the New York,
                                                Midwest or Pacific Stock
                                                Exchanges)]

          The Warrants evidenced hereby may be exercised at the following
addresses:

By hand at     ___________________________________
               ___________________________________
               ___________________________________
               ___________________________________

By mail at     ___________________________________
               ___________________________________
               ___________________________________
               ___________________________________

          [Instructions as to form and delivery of Warrant Securities and, if
applicable, Warrant Certificated evidencing unexercised Warrants -- complete as
appropriate.]

                                   Assignment


                  [Form of Assignment To Be Executed If Holder
                 Desires To Transfer Warrants Evidenced Hereby]


          FOR VALUE RECEIVED ______________________________ hereby sells,
assigns and transfers unto

______________________________          ______________________________
(Please print name)                     (Please insert social security
                                         or other identifying number)
______________________________
(Address)

______________________________
(City, including zip code)



the Warrants represented by the within Warrant Certificate and does hereby
irrevocably constitute and appoint _______________ Attorney, to transfer said
Warrant Certificate on the Books of the Warrant Agent with full power of
substitution in the premises.

Dated:


                                          ______________________________
                                                        Signature

                                          (Signature must conform in all
                                          respects to name of holder as
                                          specified on the face of this
                                          Warrant Certificate and must bear a
                                          signature guarantee by a bank, trust
                                          company or member broker of the New
                                          York, Midwest or Pacific Stock
                                          Exchange)
Signature Guaranteed

______________________________

=======================================================================







                              TRITON ENERGY LIMITED


                                       and


                                 [WARRANT AGENT]
                                As Warrant Agent









                                 ______________


                      Warrant Agreement -- Debt Securities

                        Dated as of               , 199_


                                 ______________



=======================================================================

____________________
[FN]
<F1> Complete or modify the provisions of this Form as appropriate to reflect
     the terms of the Warrants, Warrant Securities and Offered Securities.