EXHIBIT 1.3


                              TRITON ENERGY LIMITED

                                Equity Securities

                     Warrants to Purchase Equity Securities

                             Underwriting Agreement


                                    ___________, 19__


Triton Energy Limited
Caledonian House, Mary Street
P.O. Box 1043, George Town
Grand Cayman, Cayman Islands

Dear Sirs:

          1. Introductory.  Triton Energy Limited, a Cayman Islands company
(the "Company"), proposes to issue and sell from time to time certain of its
preference shares (the "Preference Shares") or ordinary shares (the "Ordinary
Shares") or warrants representing rights to purchase preference shares or
ordinary shares of the Company (the "Warrants") registered under the
registration statement referred to in Section 2(a) (the Preference Shares,
Ordinary Shares and Warrants collectively, the "Registered Securities").  The
Preferred Stock may be issued in one or more series, which series may vary as
to voting rights, dividends, optional and mandatory redemption provisions,
liquidation preference, conversion provisions and other terms, with all such
terms for any particular series being determined at the time of issue.  The
Warrants will be evidenced by warrant certificates issued by one or more
warrant agents (collectively, the "Warrant Agent") under one or more warrant
agreements (collectively, the "Warrant Agreement") between the Company and the
Warrant Agent.  The terms of the Registered Securities to be sold pursuant to
this Agreement (the "Firm Securities") are described in Annex I hereto.  If
specified in Annex I, the Company proposes to grant to the Underwriters named
therein an option (the "Option") to purchase up to that amount of Registered
Securities as is specified therein (the "Option Securities").

          The Firm Securities (together with the Option Securities) offered
hereby are hereinafter referred to as the "Securities".  The firm or firms
which agree to purchase the Securities are hereinafter referred to as the
"Underwriters" of such Securities, and the representative or representatives of
the Underwriters, if any, specified in Annex I are hereinafter referred to as
the "Representatives"; provided, however, that if Annex I does not specify any
representative of the Underwriters, the term "Representatives", as used in this
Agreement (other than in Sections 2(b) and 5(c) and the first sentence of
Section 3(a)), shall mean the Underwriters.  The Firm Securities are to be sold
to each Underwriter, acting severally and not jointly, in the respective
numbers as are set forth in Schedule A to Annex I opposite the name of such
Underwriter.

          2.   Representations and Warranties of the Company.  The Company
represents and warrants to, and agrees with, each Underwriter that:

          (a)  The Company has prepared and filed with the Securities and
     Exchange Commission (the "Commission") in accordance with the provisions
     of the Securities Act of 1933, as amended (the "Act") and the rules and
     regulations of the Commission ("Rules and Regulations"), a registration
     statement (No. 333- __________), including a combined prospectus, relating
     to certain of the joint and several debt securities of the Company and
     Triton Energy Corporation, a Delaware corporation and a wholly-owned
     subsidiary of the Company, preference shares, ordinary shares and warrants
     of the Company (including the Firm Securities) and has become effective. 
     Such registration statement, as amended at the date hereof, is hereinafter
     referred to as the "Registration Statement", and the combined prospectus
     included in such Registration Statement, as supplemented as contemplated
     by Section 3 to reflect the terms of the Securities and the terms of
     offering thereof, as first filed with the Commission pursuant to and in
     accordance with Rule 424(b) ("Rule 424(b)") under the Act, including all
     materials incorporated by reference therein, is hereinafter referred to as
     the "Prospectus".

          (b)  On the effective date of the Registration Statement, the
     Registration Statement conformed in all material respects to the
     requirements of the Act and the rules and regulations of the Commission
     ("Rules and Regulations") and did not include any untrue statement of a
     material fact or omit to state any material fact required to be stated
     therein or necessary to make the statements therein not misleading; and on
     the date hereof, the Registration Statement and the Prospectus conform in
     all respects to the requirements of the Act and the Rules and Regulations,
     and, on the Closing Date, neither of such documents will include any
     untrue statement of a material fact or omit to state any material fact
     required to be stated therein or necessary to make the statements therein
     (in the case of the Prospectus, in light of the circumstances under which
     they were made) not misleading, except that the foregoing does not apply
     to statements in or omissions from any of such documents based upon
     written information furnished to the Company by any Underwriter through
     the Representatives, if any, specifically for use therein.   

          (c)  The Company is duly incorporated and is validly existing and in
     good standing as a company under the laws of its jurisdiction of
     incorporation, with corporate power and authority to own its respective
     properties and conduct its respective business as described in the
     Prospectus; and is duly qualified to do business as a foreign corporation
     in good standing in all jurisdictions in which it owns or leases
     substantial properties or in which the conduct of its business requires
     such qualification, except where the failure to be so qualified or in good
     standing would not have a material adverse effect on the business,
     properties, operations, financial condition or results of operations of
     the Company and its subsidiaries taken as a whole.

          (d)  This Agreement has been duly authorized, executed and delivered
     by the Company and constitutes a valid and legally binding obligation of
     the Company enforceable against the Company in accordance with its terms,
     subject to bankruptcy, insolvency, fraudulent conveyance, reorganization,
     moratorium and other similar laws relating to or affecting creditors'
     rights generally, general equitable principles (whether considered in a
     proceeding in equity or at law), an implied covenant of good faith and

     fair dealing and considerations of public policy in respect of the
     indemnification provisions hereof.

          (e)  The documents incorporated by reference in the Prospectus, at
     the time such documents were filed with the Commission, complied as to
     form in all material respects with the requirements of the Securities
     Exchange Act of 1934, as amended (the "Exchange Act") and the applicable
     rules and regulations of the Commission thereunder.

          (f)  Since the respective dates as of which information is given in
     the Registration Statement, except as set forth in the Prospectus, there
     has not been any material adverse change in the business, properties,
     operations, financial condition or results of operations of the Company
     and its subsidiaries taken as a whole, and since the date of the latest
     consolidated balance sheet of the Company and its subsidiaries included in
     the Registration Statement, neither the Company nor any of its
     subsidiaries has incurred or undertaken any liabilities or obligations,
     direct or contingent, that are material to the business, properties,
     operations, financial condition or results of operations of the Company
     and its subsidiaries taken as a whole, except for liabilities or
     obligations that were incurred or undertaken in the ordinary course of
     business or that are adequately reflected in the Registration Statement.

          (g)  The Securities have been duly authorized by the Company and,
     when issued and sold by the Company pursuant to this Agreement against
     payment therefor, will be duly and validly issued, fully paid and
     nonassessable.  The Securities, when issued, will conform in all material
     respects to the description thereof set forth in the Prospectus.

          (h)  The execution, delivery and performance of this Agreement and
     the issuance and sale of the Securities will not result in a breach or
     violation of any of the terms and provisions of, or constitute a default
     under, or conflict with any statute, any rule, regulation or order of any
     governmental agency or body or any court having jurisdiction over the
     Company or any of its properties or the charter or by-laws of the Company,
     or any agreement or instrument to which the Company is a party or by which
     the Company is bound or to which any of the properties of the Company is
     subject, and will not result in the imposition or creation of any lien
     upon any property of the Company, in each case that has had or could
     reasonably be expected to have a material adverse effect on the business,
     properties, operations, financial condition or results of operations of
     the Company and its subsidiaries taken as a whole; and the Company has
     full power and authority to authorize, issue and sell the Securities as
     contemplated by the provisions of this Agreement.

          (i)  The consolidated financial statements of the Company and its
     subsidiaries, together with the related schedules and notes, incorporated
     by reference in the Registration Statement present fairly in all material
     respects the consolidated financial position, results of operations, cash
     flow and stockholder's equity of the Company and its consolidated
     subsidiaries in conformity with generally accepted accounting principles
     on the basis stated in the Registration Statement at the respective dates
     and for the respective periods to which they apply; such financial
     statements and related schedules and notes have been prepared in
     accordance with generally accepted accounting principles consistently
     applied throughout the periods involved, except as disclosed therein; and
     the other financial and statistical information and data with respect to

     the Company and its subsidiaries set forth in the Registration Statement
     present fairly the information purported to be shown thereby at the
     respective dates or for the respective periods to which they apply and
     have been prepared on a basis consistent with such financial statements
     and the books and records of the Company.

          (j)  Except as may be set forth in the Prospectus, there are no legal
     or governmental proceedings pending or, to the knowledge of the Company,
     threatened to which the Company is a party or of which any of its
     properties or assets is the subject that are required to be described in
     the Registration Statement or the Prospectus and are not so described. 
     There is no statute, regulation, contract or other document of a character
     required to be described in the Registration Statement or the Prospectus
     or to be filed as an exhibit to the Registration Statement that is not so
     described or filed as required.

          (k)  No consent, approval, authorization or order of, or filing with,
     any governmental agency or body or any court is required for the
     consummation of the transactions contemplated by this Agreement in
     connection with the issuance or sale of the Securities by the Company,
     except such as have been obtained and made under the Act and such as may
     be required under applicable state securities laws.

          3.   Purchase and Offering of Securities.  (a)  Annex I specifies the
firm or firms which will be Underwriters, the names of any Representatives, the
Firm Securities to be purchased by each Underwriter, the purchase price to be
paid by the Underwriters and whether any of the Firm Securities may be sold to
institutional investors pursuant to Delayed Delivery Contracts (as defined
below).  Annex I also specifies the time and date of delivery and payment (such
time and date, or such other time not later than seven full business days
thereafter as the Representatives and the Company hereby agree as the time for
payment and delivery, being herein referred to as the "Closing Date"), the
place of delivery and payment and any details of the terms of offering that
should be reflected in the prospectus supplement relating to the offering of
the Firm Securities.  It is understood that the Underwriters propose to offer
the Firm Securities for sale as set forth in the Prospectus.  The Firm
Securities delivered to the Underwriters on the Closing Date will be in
definitive fully registered form, in such denominations and registered in such
names as the Underwriters may request.

     (b)  If specified in Annex I, the Company hereby grants the Option to the
Underwriters to purchase up to that amount of Option Securities as is specified
in Annex I, at the same purchase price as the Underwriters shall pay for the
Firm Securities, for the sole purpose of covering over-allotments in the sale
of the Firm Securities by the Underwriters.  The Option may be exercised at any
time, in whole or in part, on or before the thirtieth day after the date of the
Prospectus, by written notice by the Representatives to the Company.  Such
notice shall set forth the aggregate amount of Option Securities as to which
the Option is being exercised and the date and time, as reasonably determined
by the Representatives, when the Option Securities are to be delivered (such
date and time being herein sometimes referred to as the "Additional Closing
Date"); provided, however, that the Additional Closing Date shall not be
earlier than the Closing Date or earlier than the second full business day
after the date on which the Option shall have been exercised nor later than the
eighth full business day after the date on which the Option shall have been
exercised.  The amount of Option Securities to be purchased by each Underwriter
shall be the same percentage of the total amount of the Option Securities to be

purchased by the several Underwriters as such Underwriter is purchasing of the
Firm Securities, as adjusted by the Representatives in such manner as they deem
advisable to avoid fractional shares/units.

     (c)  If Annex I provides for sales of Firm Securities pursuant to delayed
delivery contracts, the Company authorizes the Underwriters to solicit offers
to purchase Firm Securities pursuant to delayed delivery contracts
substantially in the form of Annex II attached hereto (the "Delayed Delivery
Contracts") with such changes therein as the Company may authorize or approve. 
Delayed Delivery Contracts are to be with institutional investors, including
commercial and savings banks, insurance companies, pension funds, investment
companies and educational and charitable institutions.  On the Closing Date the
Company will pay, as compensation, to the Representatives for the accounts of
the Underwriters, the fee set forth in Annex I in respect of the number of
shares of Firm Securities to be sold pursuant to Delayed Delivery Contracts
("Contract Securities").  The Underwriters will not have any responsibility in
respect of the validity or the performance of Delayed Delivery Contracts.  If
the Company executes and delivers Delayed Delivery Contracts, the Contract
Securities will be deducted from the Firm Securities to be purchased by the
several Underwriters and the number of shares of Firm Securities to be
purchased by each Underwriter will be reduced pro rata in proportion to the
number of shares of Firm Securities set forth opposite each Underwriter's name
in Annex I, except to the extent that the Representatives determine that such
reduction shall be otherwise than pro rata and so advise the Company.  The
Company will advise the Representatives not later than the business day prior
to the Closing Date of the principal amount of Contract Securities.

          4.   Certain Agreements of the Company.  The Company agrees with the
several Underwriters that it will furnish to the Representatives and, counsel
for the Underwriters, one signed copy of the Registration  Statement relating
to the Registered Securities, including all exhibits, in the form it became
effective and of all amendments thereto and that, in connection with each
offering of Securities:

          (a)  The Company will file the Prospectus with the Commission
     pursuant to and in accordance with Rule 424(b)(2) (or, if applicable and
     if consented to by the Representatives, subparagraph (5)).

          (b)  The Company will advise the Representatives promptly of any
     proposal to amend or supplement the Registration Statement or the
     Prospectus and will afford the Representatives a reasonable opportunity to
     comment on any such proposed amendment or supplement; and the Company will
     also advise the Representatives promptly of the filing of any such
     amendment or supplement and of the institution by the Commission of any
     stop order proceedings in respect of the Registration Statement or of any
     part thereof and will use its reasonable best efforts to prevent the
     issuance of any such stop order and to obtain as soon as possible its
     lifting, if issued.

          (c)  If, at any time when a prospectus relating to the Securities is
     required to be delivered under the Act, any event occurs as a result of
     which the Prospectus as then amended or supplemented would include an
     untrue statement of a material fact or omit to state any material fact
     necessary to make the statements therein, in the light of the
     circumstances under which they were made, not misleading, or if it is
     necessary at any time to amend the Prospectus to comply with the Act, the
     Company promptly will prepare and file with the Commission an amendment or

     supplement which will correct such statement or omission or an amendment
     which will effect such compliance.  Neither the Representatives' consent
     to, nor the Underwriters' delivery of, any such amendment or supplement
     shall constitute a waiver of any of the conditions set forth in Section 5.

          (d)  As soon as practicable, but not later than 16 months, after the
     date hereof, the Company will make generally available to its
     securityholders an earnings statement covering a period of at least 12
     months beginning after the later of (i) the effective date of the
     registration statement relating to the Registered Securities, (ii) the
     effective date of the most recent post-effective amendment to the
     Registration Statement to become effective prior to the date hereof and
     (iii) the date of the Company's most recent Annual Report on Form 10-K
     filed with the Commission prior to the date hereof, which will satisfy the
     provisions of Section 11(a) of the Act.

          (e)  The Company will furnish to the Representatives copies of the
     Registration Statement, including all exhibits, any related preliminary
     prospectus, any related preliminary prospectus supplement, the Prospectus
     and all amendments and supplements to such documents, in each case as soon
     as available and in such quantities as are reasonably requested.

          (f)  The Company will arrange for the qualification of the Securities
     for sale and the determination of their eligibility for investment under
     the laws of such jurisdictions as the Representatives designate and will
     continue such qualifications in effect so long as required for the
     distribution.

          (g)  During the period of three years after the date hereof, the
     Company will furnish to the Representatives as soon as practicable after
     the end of each fiscal year, a copy of its annual report to stockholders
     for such year; and the Company will furnish to the Representatives (i) as
     soon as available, a copy of each report or definitive proxy statement of
     the Company filed with the Commission under the Securities Exchange Act of
     1934, as amended (the "Exchange Act"), or mailed to stockholders, and (ii)
     from time to time, such other information concerning the Company as the
     Representatives may reasonably request.

          (h)  The Company will pay all expenses incident to the performance of
     its obligations under this Agreement and will reimburse the Underwriters
     for any expenses (including, subject to the provisions of Section 8
     hereof, reasonable fees and disbursements of counsel) incurred by them in
     connection with qualification of the Securities for sale under the laws of
     such jurisdictions as the Representatives may designate and the printing
     of memoranda relating thereto and for expenses incurred in distributing
     the Prospectus, any preliminary prospectuses and any preliminary
     prospectus supplements to Underwriters.

          (i)  During the period, if any, specified on Annex I, the Company
     will not offer for sale, sell, or otherwise dispose of (or enter into any
     transaction which is designed to, or could be expected to, result in the
     disposition by any person of), directly or indirectly, any preference
     shares or ordinary shares (other than the Securities and shares issued
     pursuant to employee benefit plans, qualified stock option plans or other
     employee compensation plans existing on the date hereof or pursuant to
     currently outstanding options, warrants or rights), or sell or grant
     options, rights or warrants with respect to any ordinary shares or

     preference shares (other than the grant of options pursuant to
     compensation plans existing on the date hereof), without the prior written
     consent of the Representatives.

          (j)  If and to the extent specified in Annex I, the Company will use
     its best efforts to cause the Securities to be duly authorized for listing
     on the New York Stock Exchange or any other exchange and to be registered
     under the Exchange Act.

          5.   Conditions of the Obligations of the Underwriters.  The
obligations of the several Underwriters to purchase and pay for the Securities
will be subject to the accuracy of the representations and warranties on the
part of the Company herein, to the accuracy of the statements of Company
officers made pursuant to the provisions hereof, to the performance by the
Company of its obligations hereunder and to the following additional conditions
precedent:

          (a)  The Representatives shall have received a letter, dated the
Closing Date, of the Company's independent public accountants, confirming that
they are independent public accountants within the meaning of the Act and the
applicable published Rules and Regulations thereunder and containing statements
and information of the type ordinarily included in accountants' "comfort
letters" to underwriters with respect to the financial information contained in
or incorporated by reference in the Prospectus, such letter to be in form and
substance reasonably satisfactory to the Representatives and their counsel.

          (b)  The Prospectus shall have been filed with the Commission in
accordance with the Rules and Regulations and Section 4(a) of this Agreement. 
No stop order suspending the effectiveness of the Registration Statement or of
any part thereof shall have been issued and no proceedings for that purpose
shall have been instituted or, to the knowledge of the Company or any
Underwriter, shall be contemplated by the Commission.

          (c)  Subsequent to the execution of this Agreement, there shall not
have occurred (i) any change, or any development involving a prospective
change, in or affecting particularly the business or properties of the Company
or its subsidiaries which, in the judgment of a majority in interest of the
Underwriters, including any Representatives, materially impairs the investment
quality of the Securities or the Registered Securities; (ii) any suspension or
limitation of trading in securities generally on the New York Stock Exchange,
or any setting of minimum prices for trading on such exchange, or any
suspension of trading of any securities of the Company on any exchange or in
the over-the-counter market; or (iii) any outbreak or substantial escalation of
major hostilities in which the United States is involved, any declaration of
war by Congress or any other substantial national or international calamity or
emergency if, in the judgment of a majority in interest of the Underwriters,
including any Representatives, the effect of any such outbreak, escalation,
declaration, calamity or emergency makes it impractical or inadvisable to
proceed with completion of the sale of and payment for the Securities.

          (d)  The Representatives shall have received an opinion, dated the
Closing Date, of W.S. Walker & Company, counsel for the Company, to the effect
that:

               (i)  The Company has been duly incorporated and is validly
          existing and in good standing as a corporation under the laws of the

          Cayman Islands, with corporate power and  authority to own its
          properties and conduct its business as described in the Prospectus; 

               (ii)  The Company has an authorized capitalization as set forth
          in the Prospectus.  All of the outstanding shares of capital stock of
          the Company are duly and validly authorized and issued, are fully
          paid and nonassessable and were not issued in violation of or subject
          to any preemptive rights.  The Securities have been duly authorized
          by the Company and, upon issuance and delivery of such Securities and
          payment therefor in accordance with the terms of this Agreement and
          any Delayed Delivery Contracts, such Securities will be validly
          issued, fully paid and non-assessable and will not have been issued
          in violation of or subject to any preemptive rights; if the
          Securities include Warrants, such Warrants have been duly authorized
          by the Company and, upon due execution, countersignature and
          delivery, the Warrants in definitive form will constitute valid and
          legally binding obligations of the Company and the Warrants may be
          exercised to purchase ordinary shares or preference shares of the
          Company in accordance with their terms and the terms of the Warrant
          Agreement; if any Securities are to be issued as convertible
          securities, the Ordinary Shares into which such Securities are
          convertible are duly and validly authorized, have been duly reserved
          for issuance upon conversion of such Securities, and when issued upon
          the conversion of such Securities will be duly and validly issued,
          fully paid and nonassessable and not in violation of or subject to
          any preemptive rights; and

               (iii)  This Agreement, the Warrant Agreement and any Delayed
          Delivery Contracts have been duly authorized, executed and delivered
          by the Company.

          In rendering such opinion, such counsel may state that their opinion
is limited to matters governed by the laws of the Cayman Islands.

          (e)  The Representatives shall have received an opinion, dated the
Closing Date, of Simpson Thacher & Bartlett, special counsel for the Company,
to the effect that:

               (i)  The Registration Statement has become effective under the
          Act, the Prospectus was filed with the Commission pursuant to the
          subparagraph of Rule 424(b) specified in such opinion on the date
          specified therein, and the registration statement relating to the
          Registered Securities, as of its effective date, and the Prospectus,
          as of its date, and any amendment or supplement thereto, as of its
          date, complied as to form in all material respects with the
          requirements of the Act and the applicable Rules and Regulations,
          except that in each case it is understood that such counsel need
          express no opinion with respect to the financial statements or other
          financial data contained or incorporated by reference in the
          Registration Statement, the Prospectus or any amendment or supplement
          thereto;

               (ii)  Such counsel has no reason to believe that such
          registration statement, as of its effective date, contained any
          untrue statement of a material fact or omitted to state any material
          fact required to be stated therein or necessary in order to make the
          statements therein not misleading, or that the Prospectus, as of the

          Closing Date, contains any untrue statement of a material fact or
          omits to state any material fact necessary in order to make the
          statements therein, in the light of the circumstances under which
          they were made, not misleading, except that in each case such counsel
          need express no belief with respect to the financial statements or
          other financial data contained or incorporated by reference in the
          Registration Statement, the Prospectus or any amendment or supplement
          thereto;

               (iii)  The documents incorporated by reference in the
          Registration Statement and the Prospectus, at the time such documents
          were filed with the Commission, complied as to form in all material
          respects with the requirements of the Exchange Act and the applicable
          rules and regulations of the Commission thereunder; it being
          understood that such counsel need express no opinion with respect to
          the financial statements or other financial data contained or
          incorporated by reference in the Registration Statement or the
          Prospectus; and

               (iv)  The statements made in the Prospectus under the caption
          "Description of Capital Stock", insofar as they purport to constitute
          summaries of the terms of the Company's ordinary shares and
          preference shares (including the Securities), constitute accurate
          summaries of the terms of such ordinary shares and preference shares
          in all material respects.

          In rendering such opinion, such counsel may state that their opinion
is limited to matters governed by the Federal laws of the United States of
America, the laws of the State of New York and the Delaware General Corporation
Law.

          (f)  The Representatives shall have received an opinion, dated the
Closing Date, of Robert B. Holland, III, General Counsel of the Company, to the
effect that:

               (i)  To the best knowledge of such counsel, the Company is duly
          qualified to do business as a foreign corporation in good standing in
          all jurisdictions in which it owns or leases substantial properties
          or in which the conduct of its business requires such qualification,
          except where the failure to be so qualified or in good standing would
          not have a material adverse effect on the business, properties,
          operations, financial condition or results of operations of the
          Company and its subsidiaries taken as a whole;

               (ii)  To the best knowledge of such counsel, no consent,
          approval, authorization or order of, or filing with, any governmental
          agency or body or any court is required for the consummation of the
          transactions contemplated by this Agreement in connection with the
          issuance or sale of the Securities by the Company, except such as
          have been obtained and made under the Act and such as may be required
          under applicable state securities laws;

               (iii)  To the best knowledge of such counsel, the execution,
          delivery and performance of this Agreement, the Warrant Agreement and
          any Delayed Delivery Contracts and the issuance and sale of the
          Securities and compliance with the terms and provisions thereof will
          not result in a breach or violation of any of the terms and

          provisions of, or constitute a default under, any statute, any rule,
          regulation or order of any governmental agency or body or any court
          having jurisdiction over the Company or any of its properties or the
          charter or by-laws of the Company, or any agreement or instrument to
          which the Company is a party or by which the Company is bound or to
          which any of the properties of the Company is subject, and the
          Company has full power and authority to authorize, issue and sell the
          Securities as contemplated by the provisions of this Agreement;

               (iv)  Such counsel does not know of any legal or governmental
          proceedings required to be described in the Prospectus which are not
          described as required or of any contracts or documents of a character
          required to be described in the Registration Statement or Prospectus
          or to be filed as exhibits to the Registration Statement which are
          not described and filed as required. 

          In rendering such opinion, such counsel may state that his opinion is
limited to matters governed by the Federal laws of the United States of America
and the laws of the State of Texas and (ii) rely (to the extent such counsel
deems proper and specifies in his opinion), as to matters involving the
application of the laws of the Cayman Islands upon the opinion of W.S. Walker &
Company furnished pursuant to Section 5(d) of this Agreement.

          (g)  The Representatives shall have received from counsel for the
Underwriters, such opinion or opinions, dated the Closing Date, with respect to
the incorporation of the Company, the validity of the Securities, the
Registration Statement, the Prospectus and other related matters as they may
require, and the Company shall have furnished to such counsel such documents as
they request for the purpose of enabling them to pass upon such matters.

          (h)  The Representatives shall have received a certificate, dated the
Closing Date, of the President or any Vice-President and a principal financial
or accounting officer of the Company in which such officers, to the best of
their knowledge after reasonable investigation, shall state that the
representations and warranties of the Company in this Agreement are true and
correct, that the Company has complied with all agreements and satisfied all
conditions on its part to be performed or satisfied hereunder at or prior to
the Closing Date, that no stop order suspending the effectiveness of the
Registration Statement or of any part thereof has been issued and no
proceedings for that purpose have been instituted or are contemplated by the
Commission and that, subsequent to the date of the most recent financial
statements in the Prospectus, there has been no material adverse change in the
financial position or results of operation of the Company and its subsidiaries
except as set forth in or contemplated by the Prospectus or as described in
such certificate.

          (i)  At the Closing Date, (i) if Annex I provides that any Ordinary
Shares are to be sold, such shares shall have been approved for listing on the
New York Stock Exchange upon notice of issuance and (ii) if Annex I provides
that any other Securities to be sold are to be listed on any securities
exchange or quoted on the National Association of Securities Dealers Automated
Quotation System, such Securities shall have been approved for listing or
quotation, as the case may be, upon notice of issuance.

The Company will furnish the Representatives with such conformed copies of such
opinions, certificates, letters and documents as they reasonably request.

          6.   Indemnification and Contribution.  (a)  The Company will
indemnify and hold harmless each Underwriter against any losses, claims,
damages or liabilities, joint or several, to which such Underwriter may become
subject, under the Act or otherwise, insofar as such losses, claims, damages or
liabilities (or actions in respect thereof) arise out of or are based upon any
untrue statement or alleged untrue statement of any material fact contained in
the Registration Statement, the Prospectus, or any amendment or supplement
thereto, or any related preliminary prospectus or preliminary prospectus
supplement, or arise out of or are based upon the omission or alleged omission
to state therein a material fact required to be stated therein or necessary to
make the statements therein not misleading, and will reimburse each Underwriter
for any legal or other expenses reasonably incurred by such Underwriter in
connection with investigating or defending any such loss, claim, damage,
liability or action as such expenses are incurred; provided, however, that the
Company will not be liable in any such case to the extent that any such loss,
claim, damage or liability arises out of or is based upon an untrue statement
or alleged untrue statement in or omission or alleged omission from any of such
documents in reliance upon and in conformity with written information furnished
to the Company by any Underwriter specifically for use therein.

          (b)  Each Underwriter will indemnify and hold harmless the Company
against any losses, claims, damages or liabilities to which the Company may
become subject, under the Act or otherwise, insofar as such losses, claims,
damages or liabilities (or actions in respect thereof) arise out of or are
based upon any untrue statement or alleged untrue statement of any material
fact contained in the Registration Statement, the Prospectus, or any amendment
or supplement thereto, or any related preliminary prospectus or preliminary
prospectus supplement, or arise out of or are based upon the omission or the
alleged omission to state therein a material fact required to be stated therein
or necessary to make the statements therein not misleading, in each case to the
extent, but only to the extent, that such untrue statement or alleged untrue
statement or omission or alleged omission was made in reliance upon and in
conformity with written information furnished to the Company by such
Underwriter specifically for use therein, and will reimburse any legal or other
expenses reasonably incurred by the Company in connection with investigating or
defending any such loss, claim, damage, liability or action as such expenses
are incurred.

          (c)  Promptly after receipt by an indemnified party under this
Section of notice of the commencement of any action, such indemnified party
will, if a claim in respect thereof is to be made against the indemnifying
party under subsection (a) or (b) above, notify the indemnifying party of the
commencement thereof; but the omission so to notify the indemnifying party will
not relieve it from any liability which it may have to any indemnified party
otherwise than under subsection (a) or (b) above.  In case any such action is
brought against any indemnified party and it notifies the indemnifying party of
the commencement thereof, the indemnifying party will be entitled to
participate therein and, to the extent that it may wish, jointly with any other
indemnifying party similarly notified, to assume the defense thereof, with
counsel satisfactory to such indemnified party (who shall not, except with the
consent of the indemnified party, be counsel to the indemnifying party), and
after notice from the indemnifying party to such indemnified party of its
election so to assume the defense thereof, the indemnifying party will not be
liable to such indemnified party under this Section for any legal or other
expenses subsequently incurred by such indemnified party in connection with the
defense thereof other than reasonable costs of investigation.

          (d)  If the indemnification provided for in this Section is
unavailable or insufficient to hold harmless all indemnified party under
subsection (a) or (b) above, then each indemnifying party shall contribute to
the amount paid or payable by such indemnified party as a result of the losses,
claims, damages or liabilities referred to in subsection (a) or (b) above (i)
in such proportion as is appropriate to reflect the relative benefits received
by the Company on the one hand and the Underwriters on the other from the
offering of the Securities or (ii) if the allocation provided by clause (i)
above is not permitted by applicable law, in such proportion as is appropriate
to reflect not only the relative benefits referred to in clause (i) above but
also the relative fault of the Company on the one hand and the Underwriters on
the other in connection with the statements or omissions which resulted in such
losses, claims, damages or liabilities as well as any other relevant equitable
considerations.  The relative benefits received by the Company on the one hand
and the Underwriters on the other shall be deemed to be in the same proportion
as the total net proceeds from the offering received by the Company bear to the
total underwriting discounts and commissions received by the Underwriters.  The
relative fault shall be determined by reference to, among other things, whether
the untrue or alleged untrue statement of a material fact or the omission or
alleged omission to state a material fact relates to information supplied by
the Company or the Underwriters and the parties' relative intent, knowledge,
access to information and opportunity to correct or prevent such untrue
statement or omission.  The amount paid by an indemnified party as a result of
the losses, claims, damages or liabilities referred to in the first sentence of
this subsection (d) shall be deemed to include any legal or other expenses
reasonably incurred by such indemnified party in connection with investigating
or defending any action or claim which is the subject of this subsection (d). 
Notwithstanding the provisions of this subsection (d), no Underwriter shall be
required to contribute any amount in excess of the amount by which the total
price at which the Securities underwritten by it and distributed to the public
were offered to the public exceeds the amount of any damages which such
Underwriter has otherwise been required to pay by reason of such untrue or
alleged untrue statement or omission or alleged omission.  No person guilty of
fraudulent misrepresentation (within the meaning of Section 11(f) of the Act)
shall be entitled to contribution from any person who was not guilty of such
fraudulent misrepresentation.  The Underwriters' obligations in this subsection
(d) to contribute are several in proportion to their respective underwriting
obligations and not joint.

          (e)  The obligations of the Company under this Section shall be in
addition to any liability which the Company may otherwise have and shall
extend, upon the same terms and conditions, to each person, if any, who
controls any Underwriter within the meaning of the Act; and the obligations of
the Underwriters under this Section shall be in addition to any liability which
the respective Underwriters may otherwise have and shall extend, upon the same
terms and conditions, to each director of the Company, to each officer of the
Company who has signed the Registration Statement and to each person, if any,
who controls the Company within the meaning of the Act.

          7.   Default of Underwriters.  If any Underwriter or Underwriters
default in their obligations to purchase Securities under this Agreement and
the aggregate number of shares of the Securities that such defaulting
Underwriter or Underwriters agreed but failed to purchase does not exceed 10%
of the aggregate number of shares of the Securities, the Representatives may
make arrangements satisfactory to the Company for the purchase of such
Securities by other persons, including any of the Underwriters, but if no such
arrangements are made by the Closing Date, the non-defaulting Underwriters

shall be obligated severally, in proportion to their respective commitments
under this Agreement, to purchase the Securities that such defaulting
Underwriters agreed but failed to purchase.  If any Underwriter or Underwriters
so default and the aggregate number of shares of the Securities with respect to
which such default or defaults occur exceeds 10% of the aggregate number of
shares of the Securities and arrangements satisfactory to the Representatives
and the Company for the purchase of such Securities by other persons are not
made within 36 hours after such default, this Agreement will terminate without
liability on the part of any nondefaulting Underwriter or the Company, except
as provided in Section 8.  As used in this Agreement, the term "Underwriter"
includes any person substituted for an Underwriter under this Section.  Nothing
herein will relieve a defaulting Underwriter from liability for its default. 
The respective commitments of the several Underwriters for the purposes of this
Section shall be determined without regard to reduction in the respective
Underwriters' obligations to purchase the number of shares of the Firm
Securities set forth opposite their names in Annex I as a result of Delayed
Delivery Contracts entered into by the Company.  

          8.   Survival of Certain Representations and Obligations.  The
respective indemnities, agreements, representations, warranties and other
statements of the Company or its officers and of the several Underwriters set
forth in or made pursuant to this Agreement will remain in full force and
effect, regardless of any investigation, or statement as to the results
thereof, made by or on behalf of any Underwriter, the Company or any of their
respective representatives, officers or directors or any controlling person and
will survive delivery of and payment for the Securities.  If this Agreement is
terminated pursuant to Section 7 or if for any reason the purchase of the
Securities by the Underwriters hereunder is not consummated, the Company shall
remain responsible for the expenses to be paid or reimbursed by it pursuant to
Section 4 and the respective obligations of the Company and the Underwriters
pursuant to Section 6 shall remain in effect.

          9.   Notices.  All communications hereunder will be in writing and,
if sent to the Underwriters, will be mailed, delivered or telegraphed and
confirmed to them at their addresses furnished to the Company in writing for
the purpose of communications hereunder or, if sent to the Company, will be
mailed, delivered or telegraphed and confirmed to it at Caledonian House, Mary
Street, P.O. box 1043, George Town, Grand Cayman, Cayman Islands with a copy to
Triton Energy Corporation at 6688 North Central Expressway, Suite 1400, Dallas,
Texas 75206-9926, Attention:  General Counsel.

          10.  Successors.  This Agreement will inure to the benefit of and be
binding upon the Company and such Underwriters as are identified in Annex I and
their respective successors and the officers and directors and controlling
persons referred to in Section 6, and no other person will have any right or
obligation hereunder.

          11.  APPLICABLE LAW.  THIS AGREEMENT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF NEW YORK.

     Please confirm your agreement with the foregoing by signing a copy of this
Agreement in the space set forth below.

                                          Very truly yours,

                                          [NAME OF REPRESENTATIVE OR
                                          UNDERWRITER]
                                          [Insert name(s) of other
                                          Representatives or Underwriters]
                                          [On behalf of--themselves--itself--
                                          and as Representative[s] of the
                                          Several][As] Underwriter[s]
                                          By  [NAME OF REPRESENTATIVE OR
                                              UNDERWRITER]



                                          By________________________________
                                                    [Insert Title]


 The foregoing Agreement is hereby
 confirmed and accepted as of the date
 first above written.


 TRITON ENERGY LIMITED



 By_________________________________
          [Insert Title]

                                                        ANNEX I



                            Description of Securities


          [In addition, the Company grants to the Underwriters an option,
exercisable by written notice given by the Representatives to the Company any
time on or before the 30th day after the date of the Prospectus to purchase up
to an additional ____ shares of [Preference Shares] [Ordinary Shares]
[Warrants].]

     Number of shares of [Preference Shares] [Ordinary Shares] [Warrants] to be
     issued: _______

     Initial public offering price per [Preference Share] [Ordinary Share]
     [Warrants]:  $_______, [plus accrued and unpaid dividends, if any, from
     _________, 19__.]

     Purchase price per [Preference Share] [Ordinary Share] [Warrant]: 
     $_______ 
          (amount equal to the initial public offering price set forth above,
          less $_______ per [Preference Share] [Ordinary Share] [Warrant])

     ["Lock-up" period: _________________________]

     Dividends:  

     Regular Record Dates:

     Additional Representations, if any:

     Liquidation Preference:

     [Redemption Provisions]:

     [Sinking Fund Provisions:]

     [Form of Payment, if other than New York Clearinghouse (next day) funds:]

     [Additional Jurisdictions pursuant to Section 4(f):]

     [Other Terms and Conditions:]

     Exchangeability or Convertibility Requirements, if any:

     Delayed Delivery Contracts:  [None.]  [Delivery Date[s] shall be
_______________.  Underwriters' fee is ____% of the purchase price of the
Contract Securities.]

     Closing:  _____________, __:__ A.M., New York City time, on
______________, at _________________________, in New York Clearing House (next
day) funds.

     [Name[s] and Address[es] of Representative[s]:]

     The respective number of shares of the Firm Securities to be purchased by
each of the Underwriters are set forth opposite their names in Schedule A
hereto.

     The Firm Securities will be made available for checking and packaging at
the office of ______________ at least 24 hours prior to the Closing Date.

                                   SCHEDULE A



               Underwriter                          Number of Shares



                                                     _______________
                  Total                              _______________

                                                        ANNEX II


     (Three copies of this Delayed Delivery Contract should be signed and
     returned to the address shown below so as to arrive not later than
     9:00 A.M., New York time, on ............ ........., 19....)[FN]


                            Delayed Delivery Contract


                               [Insert date of initial public offering]

Triton Energy Limited
c/o  [NAME OF PURCHASER]
     [ADDRESS]
     Attention:  ____________

Gentlemen:

          The undersigned hereby agrees to purchase from Triton Energy Limited,
a Cayman Islands company (the "Company"), and the Company agrees to sell to the
undersigned, _____________ shares of the Company's _________________ (the
"Securities"), offered by the Company's Prospectus dated _____________, 199__
and a Prospectus Supplement dated __________, relating thereto, receipt of
copies of which is hereby acknowledged, at $______ per share, plus accrued
dividends, if any, and on the further terms and conditions set forth in this
Delayed Delivery Contract (the "Contract").

          The undersigned will purchase from the Company as of the date hereof,
for delivery on the dates set forth below, Securities in the amount[s] set
forth below:

                                                      Number
                 Delivery Date                      of Shares
                 _____________                    ______________

                 _____________                    ______________

Each such delivery date is hereinafter referred to as a Delivery Date.

                 Payment for the Securities that the undersigned has agreed to
purchase for delivery on each Delivery Date shall be made to the Company or its
order by certified or official bank check in New York Clearing House (next day)
funds at the office of _______________ at __:__ __.M. on such Delivery Date
upon delivery to the undersigned of the Securities to be purchased by the
undersigned for delivery on such Delivery Date in definitive fully registered
form and in such denominations and registered in such names as the undersigned
may designate by written or telegraphic communication addressed to the Company
not less than five full business days prior to such Delivery Date.

<F1>     Insert date which is third full business day prior to Closing Date
         specified in Annex I.

                 It is expressly agreed that the provisions for delayed delivery
and payment are for the sole convenience of the undersigned; that the purchase
hereunder of Securities is to be regarded in all respects as a purchase as of

the date of this Contract; that the obligation of the Company to make delivery
of and accept payment for, and the obligation of the undersigned to take
delivery of and make payment for, Securities on each Delivery Date shall be
subject only to the conditions that (1) investment in the Securities shall not
at such Delivery Date be prohibited under the laws of any jurisdiction in the
United States to which the undersigned is subject and (2) the Company shall
have sold to the Underwriters the total number of shares of the Securities less
the number of shares thereof covered by this and other similar Contracts.  The
undersigned represents that its investment in the Securities is not, as of the
date hereof, prohibited under the laws of any jurisdiction to which the
undersigned is subject and which governs such investment.

                 This Contract will inure to the benefit of and be binding upon
the parties hereto and their respective successors, but will not be assignable
by either party hereto without the written consent of the other.

                 It is understood that the acceptance of any such Contract is in
the Company's sole discretion and, without limiting the foregoing, need not be
on a first-come, first-served basis.  If this Contract is acceptable to the
Company, it is requested that the Company sign the form of acceptance below and
mail or deliver one of the counterparts hereof to the undersigned at its
address set forth below.  This will become a binding contract between the
Company and the undersigned when such counterpart is so mailed or delivered.

                                          Yours very truly,

                                          ___________________________________
                                                   (Name of Purchaser)


                                          By_________________________________

                                          ___________________________________
                                                  (Title of Signatory)
                                          ___________________________________

                                          ___________________________________
                                                 (Address of Purchaser)

 Accepted, as of the above date.

 TRITON ENERGY LIMITED


 By_________________________________
            [Insert Title]