EXHIBIT 10.70

                   MONITORING  AND  OVERSIGHT  AGREEMENT
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     This  MONITORING  AND  OVERSIGHT  AGREEMENT  (this "Agreement") is made and
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entered  into effective as of September 30, 1998, among Triton Energy Limited, a
Cayman  Islands company (the "Company"), and Hicks, Muse & Co. Partners, L.P., a
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Texas  limited  partnership  (together  with  its  successors,  "HMCo").
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     1.     Retention;  Defined  Terms.
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     (a)     The  Company  hereby  acknowledges  that  it  has  retained HMCo to
provide,  and  HMCo  acknowledges  that, subject to reasonable advance notice in
order  to  accommodate  scheduling,  HMCo  will provide, financial oversight and
monitoring  services  to the Company as requested by the Company during the term
of  this  Agreement.

     (b)     Capitalized  terms  used  but not defined herein and defined in the
Stock  Purchase  Agreement  dated  August  31, 1998, between the Company and HM4
Triton,  L.P.,  a  Cayman Islands exempted limited partnership ("Investor") (the
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"Stock  Purchase  Agreement"), shall have the meanings ascribed to such terms in
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the  Stock  Purchase  Agreement.

     2.     Term.
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     (a)     The  term of this Agreement shall continue until the earlier of (i)
the  tenth  anniversary  of  the  date  hereof, (ii) the date on which the Stock
Purchase  Agreement is terminated if such date occurs prior to the First Closing
or  (iii)  the  date  on  which  Investor  and  its  affiliates  cease  to  own
beneficially,  directly  or  indirectly,  at least five percent of the Company's
outstanding  ordinary  shares  (or  any  other securities into or for which such
shares  may  be  converted  or exchanged), determined after giving effect to the
conversion of all shares of 8% Preference Shares of the Company held by Investor
and  its  affiliates  (such  date on which the term of this Agreement terminates
herein  referred  to  as  the  "Termination  Date").
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     (b)     Notwithstanding  any  termination of this Agreement, (i) the rights
of  the  Indemnified  Persons  (as  defined in Section 5 hereof) under Section 5
hereof  shall  survive  any such termination of this Agreement, (ii) the Company
shall  pay  to  HMCo  (A)  on the fifteenth (15th) day following the Termination
Date,  amounts  payable  to  HMCo  as  a  Monitoring  Fee  for periods up to and
including  the  Termination  Date which have not been paid as of the Termination
Date  and  (B)  promptly  (but not more than 10 days) after request by or notice
from  HMCo,  the  Reimbursable  Expenses for which HMCo has provided the Company
invoices  or  reasonably  detailed  descriptions  relating  to periods up to and
including  the  Termination  Date which have not been paid as of the Termination
Date  and  (iii)  the terms of this Agreement (including Section 7 hereof) shall
survive  any  such  termination  for the purpose of enabling HMCo to enforce its
rights  set  forth  in  this  Section  2(b)  and  Section  5.



     3.     Compensation.
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     (a)     As  compensation  for  HMCo's  services  under  this Agreement, the
Company  shall  pay  to  HMCo  an annual fee of $500,000 (the "Monitoring Fee"),
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which  shall  begin  to  accrue  on  the  First  Closing  Date.

     (b)     The  Monitoring  Fee  shall  be  payable,  by  wire  transfer  of
immediately  available  funds  to  the account described on Exhibit A hereto (or
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such  other  account  as  HMCo may hereafter designate in writing), in quarterly
installments  on  the  fifteenth  (15th)  day  of  each January, April, July and
October  during  the  term  of this Agreement (each a "Payment Date"), beginning
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with  the first Payment Date following the date hereof.  The amount of each such
quarterly  installment  shall be the Monitoring Fee divided by 4 (the "Quarterly
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Fee  Amount"), prorated on a daily basis for any partial calendar quarter during
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the  term  of  this  Agreement.

     (c)     All  past  due payments in respect of the Monitoring Fee shall bear
interest  at  the  lesser  of  the highest rate of interest which may be charged
under  applicable  law  or  the prime commercial lending rate per annum of Chase
Manhattan  Bank,  N.A.  or its successors (which rate is a reference rate and is
not  necessarily  its  lowest  or  best rate of interest actually charged to any
customer)  (the  "Prime Rate") as in effect from time to time, plus 5%, from the
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due  date  of such payment to and including the date on which payment is made to
HMCo  in  full,  including  such  interest  accrued  thereon.

     4.     Reimbursement  of  Expenses.  In  addition to the compensation to be
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paid  pursuant  to Section 3 hereof, the Company agrees to pay or reimburse HMCo
for  all  "Reimbursable  Expenses,"  which  shall  consist  of  all  reasonable
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disbursements  and out-of-pocket expenses (including without limitation costs of
travel,  postage,  deliveries,  communications,  etc.)  incurred  by HMCo or its
affiliates  for the account of the Company or in connection with the performance
by  HMCo  of  the  services contemplated by Section 1 hereof.  Promptly (but not
more  than  10 days) after request by or notice from HMCo, the Company shall pay
HMCo,  by  wire transfer of immediately available funds to the account described
on  Exhibit  A  hereto (or such other account as HMCo may hereafter designate in
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writing),  the  Reimbursable  Expenses  for  which HMCo has provided the Company
invoices  or reasonably detailed descriptions.  All past due payments in respect
of  the  Reimbursable  Expenses shall bear interest at the lesser of the highest
rate  of  interest  which  may be charged under applicable law or the Prime Rate
plus  5%  from  the  Payment  Date  to  and  including  the  date  on which such
Reimbursable  Expenses  plus  accrued  interest thereon, are fully paid to HMCo.



     5.     Indemnification.  The Company shall indemnify and hold harmless each
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of  HMCo,  its  affiliates,  and  the  respective directors, officers, partners,
members, controlling persons (within the meaning of Section 15 of the Securities
Act  of  1933  or Section 20(a) of the Securities Exchange Act of 1934), if any,
agents and employees of HMCo and/or any of its affiliates (HMCo, its affiliates,
and  such other specified persons being collectively referred to as "Indemnified
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Persons"  and  individually as an "Indemnified Person") from and against any and
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all  claims,  liabilities,  losses,  damages  and  expenses  incurred  by  any
Indemnified  Person  (including  reasonable  fees  and  disbursements  of  the
respective  Indemnified  Person's counsel) which (A) are related to or caused by
or  arise  out of (i) actions taken or omitted to be taken (including any untrue
statements  made  or any statements omitted to be made) by the Company or any of
its  Subsidiaries or (ii) actions taken or omitted to be taken by an Indemnified
Person  with  the  consent  of  the  Company  or  any of its Subsidiaries, or in
conformity  with  instructions  of  the  Company  or  any of its Subsidiaries or
actions  or  omissions  of  the  Company  or  any of its Subsidiaries or (B) are
otherwise  related  to  or  arise  out  of HMCo's engagement hereunder, and will
reimburse  each  Indemnified  Person  for  all  reasonable  costs  and expenses,
including  fees  and  disbursements of any Indemnified Person's counsel, as they
are  incurred,  in  connection  with investigating, preparing for, defending, or
appealing  any action, formal or informal claim, investigation, inquiry or other
proceeding,  whether or not in connection with pending or threatened litigation,
caused  by or arising out of or in connection with HMCo's acting pursuant to the
engagement,  whether  or  not any Indemnified Person is named as a party thereto
and  whether  or  not  any  liability  results therefrom.  The Company will not,
however be responsible for any claims, liabilities, losses, damages, or expenses
pursuant  to  clause  (B) of the preceding sentence that have resulted primarily
from HMCo's bad faith, gross negligence or willful misconduct.  The Company also
agrees  that  neither  HMCo  nor  any  other  Indemnified  Person shall have any
liability  to  the  Company for or in connection with such engagement except for
any  such  liability  for  claims,  liabilities,  losses,  damages,  or expenses
incurred  by  the  Company  that  have resulted primarily from HMCo's bad faith,
gross negligence or willful misconduct.  The Company further agrees that it will
not,  without  the  prior  written  consent  of  HMCo,  such  consent  not to be
unreasonably  withheld,  settle  or  compromise  or  consent to the entry of any
judgment  in  any  pending  or  threatened  claim, action, suit or proceeding in
respect  of  which  indemnifications may be sought hereunder (whether or not any
Indemnified  Person  is an actual or potential party to such claim, action, suit
or  proceeding)  unless  such  settlement,  compromise  or  consent  includes an
unconditional  release  of HMCo and each other Indemnified Person hereunder from
all  liability  arising  out  of  such  claim,  action, suit or proceeding.  THE
COMPANY  HEREBY ACKNOWLEDGES THAT THE FOREGOING INDEMNITY SHALL BE APPLICABLE TO
ANY  CLAIMS, LIABILITIES, LOSSES, DAMAGES OR EXPENSES THAT HAVE RESULTED FROM OR
ARE  ALLEGED  TO  HAVE RESULTED FROM THE ACTIVE OR PASSIVE OR THE SOLE, JOINT OR
CONCURRENT  ORDINARY  NEGLIGENCE  OF  HMCO  OR  ANY  OTHER  INDEMNIFIED  PERSON.

     The  foregoing  right  to indemnity shall be in addition to any rights that
HMCo and/or any other Indemnified Person may have at common law or otherwise and
shall remain in full force and effect following the completion of the engagement
or  any  termination  of the engagement or this Agreement as provided in Section
2(b).



     It  is understood that, in connection with HMCo's engagement, HMCo may also
be engaged to act for the Company in one or more additional capacities, and that
the  terms  of this engagement or any such additional engagement may be embodied
in one or more separate written agreements.  This indemnification shall apply to
the  engagement  specified in Section 1 hereof as well as to any such additional
engagement(s)  (whether written or oral) and any modification of said engagement
or  such  additional  engagement(s)  and  shall  remain in full force and effect
following  the  completion  or termination of said engagement or such additional
engagements.

     The  Company  further  understands  that  if  HMCo  is asked to furnish the
Company  a  financial  opinion letter or act for the Company in any other formal
capacity,  such further action may be subject to a separate agreement containing
provisions  and  terms  to  be  mutually  agreed  upon.

     6.     Confidential Information.  In connection with the performance of the
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services  hereunder,  HMCo  agrees  not  to,  and to use commercially reasonable
efforts  to cause its officers, directors, employees, agents and representatives
acting  on  behalf  of  HMCo  pursuant  to  this  Agreement  not to, divulge any
confidential  information,  secret  processes  or trade secrets disclosed by the
Company or any of its Subsidiaries to HMCo or any such person in connection with
the  providing  of services by HMCo (or any such person on HMCo's behalf) solely
in  its  capacity  as a financial advisor pursuant to this Agreement, unless the
Company consents to the divulging thereof or such information, secret processes,
or  trade  secrets are publicly available or otherwise available to HMCo without
restriction or breach of any confidentiality agreement or unless required by any
governmental  authority or in response to any valid legal process (in which case
HMCo  will  use  commercially  reasonable efforts to provide the Company with as
much  advance  notice  as  is  reasonably  practicable).

     7.     Governing  Law;  Jurisdiction  and  Venue.  This  Agreement shall be
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construed, interpreted, and enforced in accordance with the laws of the State of
Texas,  excluding  any  choice-of-law  provisions  thereof.  Each of the parties
hereby  (a)  irrevocably  submits  to  the  exclusive jurisdiction of the United
States  Federal  District  Court  for the Northern District of Texas, sitting in
Dallas  County, Texas, the United States of America, in the event such court has
jurisdiction or, if such court does not have jurisdiction, to any district court
sitting  in Dallas County, Texas, the United States of America, for the purposes
of  any suit, action or proceeding arising out of or relating to this Agreement,
including  any  claims  by  any  Indemnified  Persons  for indemnity pursuant to
Section  5 hereof, (b) waives, and agrees not to assert in any such suit, acting
or  proceeding,  any  claim  that  (i)  it  is  not  personally  subject  to the
jurisdiction  of  such  court or of any other court to which proceedings in such
court  may  be  appealed,  (ii) such suit, action or proceeding is brought in an
inconvenient  forum  or  (iii)  the  venue of such suit, action or proceeding is
improper  and  (c) expressly waives any requirement for the posting of a bond by
the  party  bringing  such  suit,  action  or  proceeding.  Each  of the parties
consents  to  process  being  served  in  any such suit, action or proceeding by
mailing,  certified mail, return receipt requested, a copy thereof to such party
at  the  address  in effect for notices hereunder, and agrees that such services
shall  constitute  good  and  sufficient  service of process and notice thereof.
Nothing  in  this  Section 7 shall affect or limit any right to serve process in
any  other  manner  permitted  by  law.



     8.     Assignment.  This  Agreement  and  all  provisions  contained herein
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shall  be  binding upon and inure to the benefit of the parties hereto and their
respective successors and assigns; provided, however, neither this Agreement nor
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any  of the rights, interests, or obligations hereunder shall be assigned (other
than  with  respect to the rights and obligations of HMCo, which may be assigned
to  any  one  or  more  of  its  principals or Affiliates) by any of the parties
without  the  prior  written  consent  of  the  other  parties.

     9.     Counterparts.  This  Agreement  may  be  executed  in  two  or  more
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counterparts,  each  of  which  shall  be  deemed  an original, but all of which
together  shall constitute one and the same instrument, and the signature of any
party to any counterpart shall be deemed a signature to, and may be appended to,
any  other  counterpart.

     10.     Other  Understandings.  All  discussions,  understandings,  and
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agreements heretofore made between any of the parties hereto with respect to the
subject  matter  hereof  are  merged  in  this  Agreement, which alone fully and
completely  expresses  the Agreement of the parties hereto.  All calculations of
the  Monitoring  Fee and Reimbursable Expenses shall be made by HMCo and, in the
absence of mathematical error, shall be final and conclusive.  All references to
"$"  or  dollar  amounts  will  be  to  lawful  currency of the United States of
America.  All  fees,  expenses and other amounts payable to HMCo hereunder shall
be  (i) payable in U.S. dollars and if such amounts were originally expressed in
any  other currency, then unless otherwise provided herein such amounts shall be
converted  to  U.S.  dollars  at  the  official  exchange  rate published by the
government of such country to which such currency relates on the date of payment
or,  if  such  government does not have a published exchange rate on the date of
payment,  the  applicable New York foreign exchange selling rate as published in
The  Wall Street Journal on the date of payment or, if not published on the date
of  payment,  on  the  most recent previously published rate, (ii) grossed-up to
cover  any  withholding,  value-added  or other similar taxes, and (iii) paid by
wire transfer of immediately available funds to the account described on
Exhibit A  hereto  (or  such  other account as HMCo may hereafter designate in
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writing).




                                        6

     IN  WITNESS  WHEREOF,  the  parties hereto have caused this Agreement to be
duly  executed  as  of  the  day  and  year  first  above  written.

                                     HICKS,  MUSE  &  CO.  PARTNERS,  L.P.

                                     By:     HM  PARTNERS,  INC.,
                                             its  General  Partner




                                     By:     /s/ Daniel S. Dross
                                             Daniel  S.  Dross
                                             Senior  Vice  President


                                     TRITON  ENERGY  LIMITED




                                     By:     /s/ Robert B. Holland, III
                                             Robert  B.  Holland,  III
                                             Chief Executive Officer,
                                             General Counsel and  Secretary





                                  EXHIBIT  A
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                          Wire  Transfer  Instructions
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Chase  Bank  of  Texas
ABA  #:  113000609
Account  #:  08805113824
Credit:  Hicks,  Muse  &  Co.  Partners,  L.P.
Reference:     Payment  of  Monitoring  Fees  or  Expenses  by
               Triton  Energy  Limited