SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549
                             -----------------------

                                    FORM 10-Q


(X)     QUARTERLY  REPORT  PURSUANT  TO  SECTION  13  OR 15(d) OF THE SECURITIES
        EXCHANGE  ACT  OF  1934

                FOR THE QUARTERLY PERIOD ENDED SEPTEMBER 30, 1998

                                       OR

( )     TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES
        EXCHANGE ACT OF 1934
        For the transition period from ____________  to  ____________

                          COMMISSION FILE NUMBER:  1-11675

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


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


CALEDONIAN HOUSE, MARY STREET, P.O. BOX 1043, GEORGE TOWN, GRAND CAYMAN, CAYMAN
                                    ISLANDS
              (Address of principal executive offices and zip code)


       Registrant's telephone number, including area code: (345) 949-0050

     Indicate  by  check  mark  whether the registrant (1) has filed all reports
required  to  be  filed by Section 13 or 15(d) of the Securities Exchange Act of
1934  during  the  preceding  12  months  (or  for  such shorter period that the
registrant  was required to file such reports), and (2) has been subject to such
filing  requirements  for  the  past  90  days.

                                   YES  X               NO

     Indicate  the  number of shares outstanding of each of the issuer's classes
of  common  stock,  as  of  the  latest  practicable  date.


                                                         Number of Shares
 Title of Each Class                             Outstanding at November 2, 1998
Ordinary Shares, par value $0.01 per share                  36,636,452
                                                 -------------------------------


                     TRITON ENERGY LIMITED AND SUBSIDIARIES
                                      INDEX








PART I.                        FINANCIAL INFORMATION                       PAGE NO.
                                                                           --------
                                                                     
Item 1.   Financial Statements
          Condensed Consolidated Statements of Operations -
            Three and nine months ended September 30, 1998 and 1997               2
          Condensed Consolidated Balance Sheets -
            September 30, 1998 and December 31, 1997                              3
          Condensed Consolidated Statements of Cash Flows -
            Nine months ended September 30, 1998 and 1997                         4
          Condensed Consolidated Statement of Shareholders' Equity -
            Nine months ended June 30, 1998                                       5
          Notes to Condensed Consolidated Financial Statements                    6
Item 2.   Management's Discussion and Analysis of Financial Condition and
          Results of Operations                                                  20

PART II.  OTHER INFORMATION

Item 1.   Legal Proceedings                                                      31
Item 2.   Changes in Securities and use of Proceeds                              31
Item 5.   Other Information                                                      32
Item 6.   Exhibits and Reports on Form 8-K                                       34





                           PART I. FINANCIAL INFORMATION
                            ITEM 1. FINANCIAL STATEMENTS
                       TRITON ENERGY LIMITED AND SUBSIDIARIES
                  CONDENSED CONSOLIDATED STATEMENTS OF OPERATIONS
                      (IN THOUSANDS, EXCEPT PER SHARE AMOUNTS)
                                    (UNAUDITED)








                                                           THREE MONTHS ENDED      NINE MONTHS ENDED
                                                              SEPTEMBER 30,          SEPTEMBER 30,
                                                        ------------------------  ---------------------
                                                            1998         1997         1998       1997
                                                        -----------  -----------  ----------  ---------

                                                                                  
Sales and other operating revenues:
  Oil and gas sales                                     $   42,625   $   36,993   $ 115,178   $ 99,244
  Gain on sale of oil and gas assets                        63,237          ---      63,237      4,077
                                                        -----------  -----------  ----------  ---------

                                                           105,862       36,993     178,415    103,321
                                                        -----------  -----------  ----------  ---------
Costs and expenses:
  Operating                                                 18,299       13,119      55,067     35,252
  General and administrative                                 6,405        6,631      20,589     20,123
  Depreciation, depletion and amortization                  13,812        9,291      38,695     24,746
  Writedown of assets                                          ---          ---     182,672        ---
  Non-recurring charges                                     15,000          ---      15,000        ---
                                                        -----------  -----------  ----------  ---------

                                                            53,516       29,041     312,023     80,121
                                                        -----------  -----------  ----------  ---------

        Operating income (loss)                             52,346        7,952    (133,608)    23,200

Gain on sale of Triton Pipeline Colombia                       ---          ---      50,227        ---
Interest income                                                838        1,038       2,330      4,354
Interest expense, net                                       (6,785)      (5,697)    (17,105)   (17,946)
Other income, net                                            3,595        8,018       6,623      8,324
                                                        -----------  -----------  ----------  ---------

                                                            (2,352)       3,359      42,075     (5,268)
                                                        -----------  -----------  ----------  ---------

        Earnings (loss) before income taxes
             and extraordinary item                         49,994       11,311     (91,533)    17,932
Income tax expense (benefit)                                 2,786        5,110     (31,591)     8,553
                                                        -----------  -----------  ----------  ---------

        Earnings (loss) before extraordinary item           47,208        6,201     (59,942)     9,379
Extraordinary item - extinguishment of debt                    ---          ---         ---    (14,491)
                                                        -----------  -----------  ----------  ---------
        Net earnings (loss)                                 47,208        6,201     (59,942)    (5,112)
Dividends on preference shares                                 181          187         368        400
                                                        -----------  -----------  ----------  ---------

        Earnings (loss) applicable to ordinary shares   $   47,027   $    6,014   $ (60,310)  $ (5,512)
                                                        ===========  ===========  ==========  =========

Average ordinary shares outstanding                         36,634       36,534      36,599     36,448
                                                        ===========  ===========  ==========  =========

Basic earnings (loss) per ordinary share:

  Earnings (loss) before extraordinary item             $     1.28   $     0.16   $   (1.65)  $   0.25
  Extraordinary item - extinguishment of debt                  ---          ---         ---      (0.40)
                                                        -----------  -----------  ----------  ---------

        Basic earnings (loss)                           $     1.28   $     0.16   $   (1.65)  $  (0.15)
                                                        ===========  ===========  ==========  =========

Diluted earnings (loss) per ordinary share:

  Earnings (loss) before extraordinary item             $     1.28   $     0.16   $   (1.65)  $   0.24
  Extraordinary item - extinguishment of debt                  ---          ---         ---      (0.39)
                                                        -----------  -----------  ----------  ---------
        Diluted earnings (loss)                         $     1.28   $     0.16   $   (1.65)  $  (0.15)
                                                        ===========  ===========  ==========  =========




         See accompanying Notes to Condensed Consolidated Financial Statements.




                                         TRITON ENERGY LIMITED AND SUBSIDIARIES
                                          CONDENSED CONSOLIDATED BALANCE SHEETS
                                                     (IN THOUSANDS)









ASSETS                                                           SEPTEMBER 30,    DECEMBER 31,
                                                                            
                                                                      1998            1997
                                                                 -------------    -----------
                                                                  (UNAUDITED)
Current assets:
  Cash and equivalents                                           $     59,332     $   13,451
  Trade receivables, net                                               17,754         12,963
  Other receivables                                                    46,247         52,162
  Inventories, prepaid expenses and other                               3,086          5,219
  Assets held for sale                                                    ---         58,178
                                                                 -------------    -----------

     Total current assets                                             126,419        141,973
Property and equipment, at cost, less accumulated depreciation
    and depletion of $296,237 for 1998 and $89,014 for 1997           667,961        835,506
Deferred taxes and other assets                                       116,633        120,560
                                                                 -------------    -----------

                                                                 $    911,013     $1,098,039
                                                                 =============    ===========

LIABILITIES AND SHAREHOLDERS' EQUITY

Current liabilities:
  Short-term borrowings and current maturities of long-term debt $     18,650     $  184,975
  Accounts payable and accrued liabilities                             52,051         36,964
  Deferred income                                                      35,254         35,254
                                                                 -------------    -----------

     Total current liabilities                                        105,955        257,193

Long-term debt, excluding current maturities                          413,769        443,312
Deferred income taxes                                                  10,328         50,968
Deferred income and other                                              25,342         49,946
Convertible debentures due to employees                                   ---            ---

Shareholders' equity:
  5% Preference shares                                                  7,214          7,511
  8% Preference shares                                                127,575            ---
  Ordinary shares, par value $0.01                                        366            365
  Additional paid-in capital                                          580,117        588,454
  Accumulated deficit                                                (357,523)      (297,581)
  Accumulated other non-owner changes in shareholders' equity          (2,126)        (2,126)
                                                                 -------------    -----------

                                                                      355,623        296,623
  Less cost of ordinary shares in treasury                                  4              3
                                                                 -------------    -----------

     Total shareholders' equity                                       355,619        296,620
Commitments and contingencies (note 11)                                   ---            ---
                                                                 -------------    -----------

                                                                 $    911,013     $1,098,039
                                                                 =============    ===========




  The Company uses the full cost method to account for its oil and gas producing
                                   activities.
     See accompanying Notes to Condensed Consolidated Financial Statements.


                     TRITON ENERGY LIMITED AND SUBSIDIARIES
                 CONDENSED CONSOLIDATED STATEMENTS OF CASH FLOWS
                  NINE MONTHS ENDED SEPTEMBER 30, 1998 AND 1997
                                  (IN THOUSANDS)
                                   (UNAUDITED)








                                                                   1998        1997
                                                                ----------  ----------
                                                                      
Cash flows from operating activities:
  Net loss                                                      $ (59,942)  $  (5,112)
  Adjustments to reconcile net loss to net cash provided (used)
     by operating activities:
  Depreciation, depletion and amortization                         38,695      24,746
  Amortization of deferred income                                 (26,440)    (19,653)
  Gain on sale of oil and gas assets                              (63,237)     (4,077)
  Gain on sale of Triton Pipeline Colombia                        (50,227)        ---
  Writedown of assets                                             182,672         ---
  Non-recurring charges                                            11,802         ---
  Payment of accreted interest on extinguishment of debt              ---    (124,794)
  Extraordinary loss on extinguishment of debt, net of tax            ---      14,491
  Amortization of debt discount                                       ---       7,943
  Deferred income taxes                                           (34,250)      5,582
  Gain on sale of other assets                                     (6,905)     (1,409)
  Other                                                             1,863        (457)
  Changes in working capital pertaining to operating activities    12,369      14,421
                                                                ----------  ----------

     Net cash provided (used) by operating activities               6,400     (88,319)
                                                                ----------  ----------

Cash flows from investing activities:
  Capital expenditures and investments                           (140,417)   (169,461)
  Proceeds from sale of oil and gas assets                        142,527       4,077
  Proceeds from sale of Triton Pipeline Colombia                   97,656         ---
  Proceeds from sales of other assets                              21,170       1,707
  Other                                                            (2,421)     25,146
                                                                ----------  ----------

     Net cash provided (used) by investing activities             118,515    (138,531)
                                                                ----------  ----------

Cash flows from financing activities:
  Proceeds from revolving lines of credit and long-term debt      152,531     558,531
  Payments on revolving lines of credit and long-term debt       (350,178)   (321,515)
  Short-term notes payable, net                                       ---       9,600
  Issuances of 8% preference shares, net                          116,825         ---
  Issuances of ordinary shares                                      2,485       4,987
  Other                                                              (369)       (390)
                                                                ----------  ----------

     Net cash provided (used) by financing activities             (78,706)    251,213
                                                                ----------  ----------

Effect of exchange rate changes on cash and equivalents              (328)       (355)
                                                                ----------  ----------
Net increase in cash and equivalents                               45,881      24,008
Cash and equivalents at beginning of period                        13,451      11,048
                                                                ----------  ----------

Cash and equivalents at end of period                           $  59,332   $  35,056
                                                                ==========  ==========


See accompanying Notes to Condensed Consolidated Financial Statements.




                     TRITON ENERGY LIMITED AND SUBSIDIARIES
            CONDENSED CONSOLIDATED STATEMENT OF SHAREHOLDERS' EQUITY
                      NINE MONTHS ENDED SEPTEMBER 30, 1998
                                  (IN THOUSANDS)
                                   (UNAUDITED)




                                                     

5%  Preference  shares:
  Balance at December 31, 1997                          $   7,511
  Conversion of 5% preference shares                         (297)
                                                        ----------

  Balance at September 30, 1998                             7,214
                                                        ----------

8% Preference shares:
  Balance at December 31, 1997                                ---
  Issuances of 1,822,500 shares at $70 per share          127,575
                                                        ----------

  Balance at September 30, 1998                           127,575
                                                        ----------

Ordinary shares:
  Balance at December 31, 1997                                365
  Issuances under stock plans                                   1
                                                        ----------

  Balance at September 30, 1998                               366
                                                        ----------

Additional paid-in capital:
  Balance at December 31, 1997                            588,454
  Transaction costs for issuance of 8% preference shares  (10,750)
  Cash dividends, 5% preference shares                       (368)
  Conversion of 5% preference shares                          297
  Issuances under stock plans                               2,484
                                                        ----------

  Balance at September 30, 1998                           580,117
                                                        ----------

Treasury shares:
  Balance at December 31, 1997                                 (3)
  Purchase of treasury shares                                  (1)
                                                        ----------

  Balance at September 30, 1998                                (4)
                                                        ----------

Accumulated deficit:
  Balance at December 31, 1997                           (297,581)
  Net loss                                                (59,942)
                                                        ----------

  Balance at September 30, 1998                          (357,523)
                                                        ----------

Accumulated other non-owner changes in
    shareholders' equity:
  Balance at December 31, 1997                             (2,126)
  Other non-owner changes in shareholders' equity             ---
                                                        ----------

  Balance at September 30, 1998                            (2,126)
                                                        ----------

Total shareholders' equity at September 30, 1998        $ 355,619
                                                        ==========


 See accompanying Notes to Condensed Consolidated Financial Statements.



                              TRITON ENERGY LIMITED
              NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS
            (AMOUNTS IN TABLES IN THOUSANDS, EXCEPT PER SHARE AMOUNTS)
                                   (UNAUDITED)

1.     GENERAL

Triton Energy Limited ("Triton") is an international oil and gas exploration and
production  company.  The  term  "Company" when used herein means Triton and its
subsidiaries  and  other  affiliates  through  which  the  Company  conducts its
business.  The  Company's  principal  properties,  operations,  and  oil and gas
reserves are located in Colombia and Malaysia-Thailand.  The Company is actively
exploring for oil and gas in these areas, as well as in Southern Europe, Africa,
and  the  Middle  East.  All  sales  currently  are  derived  from  oil  and gas
production  in  Colombia.

In  the opinion of management, the accompanying unaudited condensed consolidated
financial  statements  of  the  Company  contain  all  adjustments  of  a normal
recurring nature necessary to present fairly the Company's financial position as
of  September 30, 1998, and the results of its operations for the three and nine
months  ended  September  30,  1998 and 1997, its cash flows for the nine months
ended  September 30, 1998 and 1997, and shareholders' equity for the nine months
ended  September  30,  1998.  The  results  for  the three and nine months ended
September  30,  1998,  are not necessarily indicative of the final results to be
expected  for  the  full  year.

The  condensed  consolidated  financial statements should be read in conjunction
with  the Notes to Consolidated Financial Statements, which are included as part
of  the  Company's  Annual  Report  on Form 10-K for the year ended December 31,
1997.

Certain other previously reported financial information has been reclassified to
conform  to  the  current  period's  presentation.

2.     COMPREHENSIVE  INCOME

In  June 1997, the Financial Accounting Standards Board issued Statement No. 130
("SFAS  130"),  "Reporting Comprehensive Income." SFAS 130 established standards
for  the  reporting  and  display  of  comprehensive  income and its components,
specifically  net  income  and  all other changes in shareholders' equity except
those  resulting  from  investments  by  and distributions to shareholders.  The
Company,  which  adopted  the standard beginning January 1, 1998, has elected to
display  comprehensive  income (or non-owner changes in shareholders' equity) in
the  Condensed  Consolidated  Statement of Shareholders' Equity.  This statement
does  not  have  any  effect on the Company's results of operations or financial
position.

3.     ASSET  DISPOSITIONS

In  July  1998,  the  Company  and Atlantic Richfield Company ("ARCO") signed an
agreement  providing financing for the development of the Company's gas reserves
on  Block  A-18 of the Malaysia-Thailand Joint Development Area.  Under terms of
the  agreement,  consumated  in August 1998, the Company sold to a subsidiary of
ARCO for $150 million one-half of the shares of the subsidiary through which the
Company  owned its 50% share of Block A-18.  The agreements also require ARCO to
pay  all  future exploration and development costs attributable to the Company's
and  ARCO's collective interest in Block A-18, up to $377 million or until first
production  from  a gas field, at which time the Company and ARCO would each pay
50% of such costs.  Additionally, the agreements require ARCO to pay the Company
an  additional  $65  million  each  at July 1, 2002 and July 1, 2005, if certain
specific  development  objectives  are met by such dates, or $40 million each if
the  objectives  are  met  within  one  year  thereafter.

The  agreements  provide  that  the  Company  will  recover  its  investment  in
recoverable costs in the project, approximately $101 million, and that ARCO will
recover its investment in recoverable costs, on a first-in, first-out basis from
the  cost  recovery  portion  of  future  production.  The  sale  resulted in an
aftertax  gain  of  $63.2  million  in  the  third  quarter  of  1998.

In  February  1998,  the  Company sold Triton Pipeline Colombia, Inc. ("TPC"), a
wholly  owned  subsidiary  that  held  the Company's 9.6% equity interest in the
Colombian  pipeline company, Oleoducto Central S. A. ("OCENSA"), to an unrelated
third party (the "Purchaser") for $100 million.  Net proceeds were approximately
$97.7  million after $2.3 million of expenses.  The sale resulted in an aftertax
gain  of  $50.2  million.  TPC's investment in OCENSA, totaling $47.4 million at
December  31,  1997,  was  included  in  assets  held  for  sale.

In  conjunction  with  the  sale of TPC, the Company entered into an equity swap
with a creditworthy financial institution (the "Counterparty").  The equity swap
has  a  notional amount of $97 million and requires the Company to make floating
LIBOR-based  payments  on the notional amount to the Counterparty.  In exchange,
the  Counterparty  is required to make payments to the Company equivalent to 97%
of the dividends TPC receives in respect of its equity interest in OCENSA.  Upon
a  sale  by  the  Purchaser of the TPC shares, the Company will receive from the
Counterparty, or make a cash payment to the Counterparty, an amount equal to the
excess  or  deficiency,  as applicable, of the difference between 97% of the net
proceeds  from  the  Purchaser's sale of the TPC shares and the notional amount.
The  equity  swap  is carried in the Company's financial statements at fair
value during its time which,  as  amended, will expire December 31, 1999.
Fluctuations in the fair  value  of the equity swap will affect other income as
noncash adjustments.

In  June  1997,  the  Company sold its Argentine subsidiary for cash proceeds of
$4.1  million  and  recognized  a  gain  of  $4.1  million.


4.     WRITEDOWN  OF  ASSETS

Writedown  of  assets  is  summarized  as  follows:






                                     NINE MONTHS ENDED
                                    SEPTEMBER 30, 1998
                                    -------------------

                                 
Evaluated oil and gas properties    $           105,354
Unevaluated oil and gas properties               73,890
Other assets                                      3,428
                                    -------------------

                                    $           182,672
                                    ===================



In  June  1998,  the  carrying  amount  of  the  Company's evaluated oil and gas
properties  in  Colombia were written down by $105.4 million ($68.5 million, net
of tax) through application of the full cost ceiling limitation as prescribed by
the  Securities  and  Exchange  Commission ("SEC"), principally as a result of a
decline  in  oil prices.  The SEC ceiling test was calculated using the June 30,
1998, West Texas Intermediate ("WTI") oil price of $14.18 per barrel that, after
a  differential  for Cusiana crude delivered at the port of Covenas in Colombia,
resulted  in  a  net  price  of  approximately  $13  per  barrel.

In  conjunction with a plan to restructure operations and scale back exploration
related  expenditures,  the  Company  assessed  its  investments  in exploration
licenses  and  determined  that certain investments were impaired.  As a result,
unevaluated  oil  and  gas  properties  and  other assets totaling $77.3 million
($72.6  million, net of tax) were expensed in June 1998.  The writedown included
$27.2 million and $22.5 million related to exploration activity in Guatemala and
China,  respectively.  The  remaining  writedowns  related  to  the  Company's
exploration  projects  in  certain  other  areas  of  the  world.

5.     NON-RECURRING  CHARGES

In  July  1998,  the  Company  commenced  a  plan  to  restructure the Company's
operations,  reduce  overhead  costs  and  substantially  scale back exploration
related  expenditures.  As a result of the restructuring, the Company recognized
non-recurring  charges  totaling  $15  million  in the third quarter.  The major
component  of  the  non-recurring  charges  related  to  the  elimination  of
approximately  105  positions  or  41% of the Company's worldwide workforce.  An
accrual  of  $11.2  million was included in non-recurring charges related to the
reduction  in  workforce  for  severence,  benefit continuation and outplacement
costs.  Additionally,  the  Company  has  closed or is in the process of closing
branch  offices in four countries which resulted in a $2.1 million non-recurring
charge related to the termination of office leases and the write-down of related
assets  to their fair market value.  The Company expects to complete the closing
of its branch offices by the third quarter of 1999.  The remaining non-recurring
charges  of  $1.7  million  primarily  related to the write-off of surplus fixed
assets  resulting  from  the  reduction  in  workforce.



6.     OTHER  INCOME,  NET

For  the  three  months  ended  September  30,  1998 and 1997, other income, net
included  foreign  exchange gains of $.8 million and $5.8 million, respectively,
primarily related to noncash adjustments to deferred tax liabilities in Colombia
associated  with  devaluation  of  the  Colombian  peso  versus the U.S. dollar.
During  the  same  three  month  period in 1998 and 1997, the Company recognized
gains  of  $5.3  million  and  $1.4  million,  respectively,  on  the  sale  of
non-operating  assets.  These  gains  were  offset by an unrealized loss of $2.1
million  on the change in the fair value of the equity swap in the third quarter
of  1998.

For  the  nine  months  ended  September  30,  1998  and 1997, other income, net
included  foreign exchange gains of $2.5 million and $8.7 million, respectively,
primarily related to noncash adjustments to deferred tax liabilities in Colombia
associated  with  devaluation  of  the  Colombian  peso  versus the U.S. dollar.
During the same nine month period in 1998 and 1997, the Company recognized gains
of  $6.8  million  and  $1.5 million, respectively, on the sale of non-operating
assets.  Additionally,  an  unrealized  gain  (loss)  of  $.5  million and ($3.4
million)  was recognized in 1998 and 1997, respectively, representing the change
in  the fair market value of call options purchased in anticipation of a forward
oil sale in 1995.  These gains were offset by a realized loss of $2.9 million on
the  change  in  the  fair  market  value  of  the  equity  swap  during  1998.

7.        EXTRAORDINARY  ITEM

In  May  and  June  1997,  the Company completed a tender offer and consent
solicitation with respect to its Senior Subordinated Discount Notes due November
1,  1997  ("1997  Notes")  and  9  3/4%  Senior  Subordinated Discount Notes due
December  15,  2000 ("9 3/4% Notes") that resulted in the retirement of the 1997
Notes  and  substantially  all  of  the  9 3/4% Notes.  The Company's results of
operations  for  the  nine  months  ended  September  30,  1997,  included  an
extraordinary  expense  of  $14.5  million,  net  of a $7.8 million tax benefit,
associated  with  the  extinguishment  of  the 1997 Notes and 9 3/4% Notes.  The
remainder  of  the  9 3/4%  Notes  were  retired  in  1998.

8.     DEBT

During  the nine months ended September 30, 1998, the Company used proceeds from
the  sale  of assets and the issuance of equity securities (see note 9) to repay
borrowings  under  unsecured  credit  facilities  and  fund  other  capital
requirements.

9.     SALE  OF  8%  PREFERENCE  SHARES

On  August  31,  1998,  the Company entered into a Stock Purchase Agreement (the
"Purchase  Agreement")  with  HM4  Triton,  L.P. ("HM4 Triton"), an affiliate of
Hicks,  Muse,  Tate  & Furst Incorporated. The First Closing, as contemplated by
the  Purchase  Agreement,  occurred on September 30, 1998, pursuant to which the
Company  issued  to  HM4  Triton  1,822,500  shares of 8% convertible preference
shares  ("8%  preference  shares")  for  $70.00  per share, or total proceeds of
$127.6  million  (before expenses of $10.8 million). Each 8% preference share is
convertible at any time at the option of the holder into four ordinary shares of
the  Company  (subject  to  certain  antidilution  protections).  Holders  of 8%
preference  shares are entitled to receive, when and if declared by the Board of
Directors,  cumulative  dividends  at  a  rate  per  annum  equal  to  8% of the
liquidation  preference of $70.00 per share, payable for each semi-annual period
ending  June  30  and  December  30, commencing June 30, 1999.  At the Company's
option,  dividends  may  be  paid in cash or by the issuance of additional whole
shares of 8% preference shares. Holders of 8% preference shares will be entitled
to  vote  with  the  holders  of ordinary shares on all matters submitted to the
shareholders  of  the Company for a vote, with each share of 8% preference share
entitling its holder to a number of votes equal to the number of ordinary shares
into  which  it could be converted at that time. The 8% preference shares can be
redeemed  by  the  Company commencing September 30, 2001, but only if the market
value  of  the  ordinary  shares meets certain targets at the time of redemption
(but  if  the  Company  redeems  any  shares, it must redeem all of the shares).
Under the provisions of the Company's Articles of Association, the terms of the
8% preference shares can be amended with  the approval of the holders of at
least two-thirds of the 8% preference shares voting separately as a class.

The  Purchase  Agreement  requires the Company to conduct a rights offering (the
"Rights Offering") pursuant to which the Company would distribute to each record
holder  of  ordinary  shares, 5% convertible preference shares and 8% preference
shares,  as  of  a  record  date  to  be  established  by the Company's Board of
Directors,  the  transferable  right  (the  "Rights") to purchase, at $70.00 per
share,  a  pro-rata  portion  (determined based on the number of ordinary shares
into  which  such shares are convertible as of the record date) of approximately
3,177,500 8% preference shares  for an aggregate purchase price of approximately
$222  million.  The  Purchase  Agreement  provides  that  following  the  Rights
Offering,  subject  to  the  terms  and  conditions  set  forth  in the Purchase
Agreement,  HM4  Triton  would  be required to purchase at a second closing (the
"Second  Closing")  a  number of 8% preference shares equal to (i) the number of
shares  it  could purchase upon exercise of Rights it receives in respect of the
8%  preference  shares it holds as of the record date and (ii) any 8% preference
shares  not  subscribed  for in the Rights Offering; provided that HM4 Triton is
not  required to purchase more than 3,177,500 8% preference shares at the Second
Closing.  If  all 3,177,500 8% preference shares are issued, the total number of
8%  preference  shares  outstanding  (on  an as-converted basis) would represent
approximately  35%  of  the Company's pro forma ordinary shares outstanding. HM4
Triton's  obligations  to  purchase  any  additional 8% preference shares at the
Second  Closing  is  subject  to  customary closing conditions.  On November 10,
1998,  the  Company announced that the Rights Offering, as previously announced,
would  be  delayed  and  could  possibly be restructured or cancelled, following
consideration  by  the  Company  of  additional  capital  raising  alternatives.

In  connection with the issuance of the 1,822,500 shares of 8% preference shares
to  HM4  Triton  in  September  1998,  the Company and HM4 Triton entered into a
Shareholders  Agreement  (the "Shareholders Agreement") pursuant to which, among
other  things,  the size of the Company's Board of Directors was set at ten, and
HM4  Triton exercised its right to designate four out of such ten directors. The
Shareholders  Agreement  provides  that,  in  general, for so long as the entire
Board  of  Directors  consists  of  ten  members, HM4 Triton (and its designated
transferees, collectively) may designate four nominees for election to the Board
(with such number of designees increasing or decreasing proportionately with any
change  in  the  total  number  of  members of the Board and with any fractional
directorship  rounded up to the next whole number). The right of HM4 Triton (and
its designated transferees) to designate nominees for election to the Board will
be  reduced  if  the  number  of  ordinary  shares  held  by  HM4 Triton and its
affiliates  (assuming  conversion of  8% preference shares into ordinary shares)
represents  less  than  certain  specified percentages of the number of ordinary
shares  (assuming  conversion  of  8%  preference  shares  into ordinary shares)
purchased  by  HM4  Triton  pursuant  to  the  Purchase  Agreement.

The  Shareholders  Agreement  provides  that,  for so long as HM4 Triton and its
affiliates  continue  to  hold  a  certain  minimum  number  of  ordinary shares
(assuming  conversion of 8% preference shares into ordinary shares), the Company
may  not  take  certain actions without the consent of HM4 Triton, including (i)
entering  into any merger or sale of substantial assets, (ii) issuing a class of
preference  shares  that  would  rank  equal  to  or senior to the 8% preference
shares, (iii) paying dividends on ordinary shares or other shares ranking junior
to  the  8%  preference shares, other than regular dividends on the Company's 5%
convertible  preference  shares,  or  (iv)  incurring  indebtedness  (other than
certain  permitted  indebtedness),  or  issuing  preference  shares,  unless the
Company's  leverage  ratio  at  the time, after  giving pro forma effect to such
incurrence  or  issuance  and to the use of the proceeds, is less than 2.5 to 1.

As  a  result  of  HM4  Triton's  ownership of 8% preference shares and ordinary
shares  and  the  rights conferred upon HM4 Triton and its designees pursuant to
the  above-described  agreements,  HM4 Triton has significant influence over the
actions  of  the  Company  and  will  be  able  to influence, and in some cases,
determine the outcome of matters submitted for approval of the shareholders. The
existence  of  HM4  Triton  as  a  shareholder  of  the Company may make it more
difficult for a third party to acquire, or discourage a third party from seeking
to  acquire,  a majority of the outstanding ordinary shares. A third party would
be required to negotiate any such transaction with HM4 Triton, and the interests
of  HM4 Triton as a shareholder may be different from the interests of the other
shareholders  of  the  Company.


10.     EARNINGS  PER  ORDINARY  SHARE

For  the  nine  months  ended September 30, 1998, the computation of diluted net
loss  per  ordinary  share was antidilutive, and therefore, the amounts reported
for  basic  and  diluted  net  loss  per  ordinary  share  were  the  same.

The  following table reconciles the numerators and denominators of the basic and
diluted  earnings  per  ordinary  share computation for earnings from continuing
operations  for the three months ended September 30, 1998 and the three and nine
months  ended  September  30,  1997.




                                                                                
                                               INCOME                   SHARES           PER-SHARE
                                             (NUMERATOR)            (DENOMINATOR)         AMOUNT
                                             -----------            -------------        ---------
THREE MONTHS ENDED SEPTEMBER 30, 1998:

Net earnings                                   $47,208
Less: 5% Preference share dividends               (181)
                                               --------

Earnings available to ordinary shareholders     47,027
Basic earnings per ordinary share                                       36,634             $1.28
                                                                                           =====
Effect of dilutive securities:
8% Preference shares                               ---                      79
Stock options                                      ---                      59
5% Preference shares                               181                     212
                                               --------                 ------
Earnings available to ordinary shareholders
      and assumed conversions                  $47,208
                                               ========
  Diluted earnings per ordinary share                                   36,984             $1.28
                                                                        ======             =====



THREE  MONTHS  ENDED  SEPTEMBER  30,  1997:






                                                                                  
Net earnings                                   $ 6,201
Less: 5% Preference share dividends               (187)
                                               --------

Earnings available to ordinary shareholders      6,014
Basic earnings per ordinary share                                       36,534             $0.16
                                                                                           =====
Effect of dilutive securities:
Stock options                                      ---                     449
Convertible debentures                             ---                      87
                                               --------                 ------
Earnings available to ordinary shareholders
   and assumed conversions                     $ 6,014
                                               ========
Diluted earnings per ordinary share                                     37,070             $0.16
                                                                     =========             =====







                                                                             
                                               INCOME                   SHARES           PER-SHARE
                                             (NUMERATOR)            (DENOMINATOR)          AMOUNT
                                             -----------            -------------        ---------
NINE MONTHS ENDED SEPTEMBER 30, 1997:

Earnings before extraordinary item             $ 9,379
Less: 5% Preference share dividends               (400)
                                               --------

Earnings before extraordinary item
     available to ordinary shareholders          8,979
Basic earnings per ordinary share                                       36,448             $0.25
                                                                     =========             =====
Effect of dilutive securities:
Stock options                                      ---                     485
Convertible debentures                             ---                      86
                                               --------              ---------
Earnings before extraordinary item
     available to ordinary shareholders and
     assumed conversions                       $ 8,979
                                               ========
Diluted earnings before extraordinary
   item per ordinary share                                             37,019              $0.24
                                                                     ========              =====



On  September  30, 1998, 1,822,500 shares of 8% preference shares were issued to
HM4  Triton.  Each  preference  share is convertible any time into four ordinary
shares,  subject  to  adjustment in certain events.  The number of 8% preference
shares  included  in  the computation of weighted average shares outstanding for
purposes  of  diluted  earnings  per  ordinary  share for the three months ended
September 30, 1998, was significantly lower than it will be in future periods as
these  shares  were  outstanding for only one day during the three month period.
Additionally,  the Purchase Agreement requires the Company to conduct the Rights
Offering  for  approximately  3,177,500  8%  preference  shares,  which,  if
consummated,  would  affect  diluted  earnings per share in future periods.  See
note  9  -  Sale  of  8%  Preference  Shares.

11.     COMMITMENTS  AND  CONTINGENCIES

Development  of  the  Cusiana  and  Cupiagua  fields  (the  "Fields"), including
drilling  and  construction  of  additional  production facilities, will require
further  capital  outlays.  The  Company's  capital  budget  for the year ending
December  31,  1998,  was  approximately  $176  million,  excluding  capitalized
interest, of which approximately $103 million related to the Fields, $23 million
related  to  Block  A-18, and $50 million related to the Company's activities in
other  parts  of  the  world.  See  note  3  -  Asset  Dispositions.

During  the  normal  course  of business, the Company is subject to the terms of
various  operating  agreements  and  capital  commitments  associated  with  the
exploration  and  development of its oil and gas properties.  It is management's
belief  that  such  commitments,  including capital requirements in Colombia and
Block  A-18  in  the  Gulf  of Thailand discussed above, will be met without any
material,  adverse  effect on the Company's operations or consolidated financial
condition.  See  Item  2.  Management's  Discussion  and  Analysis  of Financial
Condition  and  Results  of  Operations  -  Liquidity  and Capital Requirements.

GUARANTEES

At  September  30,  1998, the Company had guaranteed loans of approximately $2.1
million  for  a Colombian pipeline company in which the Company has an ownership
interest.  The  Company  also  guaranteed performance of $27.9 million in future
exploration  expenditures  in  various  countries.  These commitments are backed
primarily  by  unsecured  letters  of  credit.

LITIGATION

In  July  through  October 1998, several lawsuits were filed against the Company
and  a  former  and  a  present officer of the Company.  Each case was filed on
behalf  of  a  putative  class  of  persons  and/or  entities  who purchased the
Company's  securities  between  March 30, 1998 and July 17, 1998, inclusive, and
seeks  recovery  of  compensatory  damages,  fees  and  costs.  The cases allege
violations  of  securities  laws  in  connection with disclosures concerning the
Company's  properties,  operations,  and value relating to a prospective sale of
the  Company  or  of all or a part of its assets. Additionally, one case alleges
negligent misrepresentation and seeks recovery of punitive damages. On September
21,  1998, a motion for consolidation and for appointment as lead plaintiffs and
for  approval  of selection of lead counsel was filed with respect to the cases.
That  motion  is  presently  pending.

The  Company believes it has meritorious defenses to these claims and intends to
vigorously defend these actions.   No discovery has been taken at this time, and
the  ultimate  outcome  is not currently predictable.  There can be no assurance
that  the litigation will be resolved in the Company's favor.  An adverse result
could  have  a  material  adverse  effect on the Company's financial position or
results  of  operations.

The  Company  is  subject  to certain other litigation matters, none of which is
expected  to  have  a  material,  adverse  effect on the Company's operations or
consolidated  financial  condition.


12.     CERTAIN  FACTORS  THAT  COULD  AFFECT  FUTURE  OPERATIONS

Certain statements in this report, including expectations, intentions, plans and
beliefs  of  the Company and management, including those contained in or implied
by  "Management's  Discussion and Analysis of Financial Condition and Results of
Operations"  and these Notes to Condensed Consolidated Financial Statements, are
forward-looking statements, as defined in Section 21E of the Securities Exchange
Act  of  1934,  as  amended,  that  are  dependent  on certain events, risks and
uncertainties  that may be outside the Company's control.  These forward-looking
statements  include  statements  of  management's  plans  and objectives for the
Company's  future  operations  and  statements  of  future economic performance;
information regarding schedules for the completion of production facilities; the
closing  of  branch offices; changes in gross general and administrative expense
and  the  portion  that  will  be capitalized; expected or planned production or
transportation  capacity;  when  the  Fields might become self-financing; future
production  of  the  Fields;  the  negotiation  of  a  gas-sales  contract  in
Malaysia-Thailand; the Company's capital budget and future capital requirements;
the Company's meeting its future capital needs; the Company's realization of its
deferred  tax  asset;  the level of future expenditures for environmental costs;
the  outcome  of  regulatory  and  litigation  matters;  the impact of Year 2000
issues;  and  the  assumptions  described  in  this  report  underlying  such
forward-looking  statements.  Actual  results  and  developments  could  differ
materially from those expressed in or implied by such statements due to a number
of  factors,  including  those  described in the context of such forward-looking
statements,  as  well  as  those  presented  below.

CERTAIN  FACTORS  RELATING  TO  THE  OIL  AND  GAS  INDUSTRY

The  Company's  strategy  is  to  focus  its  exploration activities on what the
Company  believes  are relatively high-potential prospects.  No assurance can be
given  that these prospects contain significant oil and gas reserves or that the
Company  will  be successful in its exploration activities thereon.  The Company
follows  the  full  cost method of accounting for exploration and development of
oil  and gas reserves whereby all acquisition, exploration and development costs
are  capitalized.  Costs related to acquisition, holding and initial exploration
of  licenses  in  countries  with  no proved reserves are initially capitalized,
including  internal  costs directly identified with acquisition, exploration and
development  activities.  The  Company's  exploration  licenses are periodically
assessed  for  impairment  on  a  country-by-country  basis.  If  the  Company's
investment in exploration licenses within a country where no proved reserves are
assigned  is  deemed  to be impaired, the licenses are written down to estimated
recoverable value.  If the Company abandons all exploration efforts in a country
where no proved reserves are assigned, all exploration costs associated with the
country  are  expensed.  The  Company's  assessments  of  whether its investment
within a country is impaired and whether exploration activities within a country
will  be abandoned are made from time to time based on its review and assessment
of  drilling results, seismic data and other information it deems relevant.  Due
to  the  unpredictable nature of exploration drilling activities, the amount and
timing  of  impairment  expense  are  difficult  to  predict with any certainty.
Financial  information  concerning  the  Company's  assets at December 31, 1997,
including capitalized costs by geographic area, is set forth in note 21 of Notes
to  Consolidated Financial Statements in Triton's Annual Report on Form 10-K for
the  year  ended  December  31,  1997.

The  markets  for  oil  and  natural gas historically have been volatile and are
likely  to  continue  to  be volatile in the future.  Oil and natural-gas prices
have been subject to significant fluctuations during the past several decades in
response  to  relatively  minor  changes in the supply of and demand for oil and
natural  gas,  market  uncertainty  and a variety of additional factors that are
beyond  the control of the Company.  These factors include the level of consumer
product demand, weather conditions, domestic and foreign government regulations,
political  conditions in the Middle East and other production areas, the foreign
supply  of oil and natural gas, the price and availability of alternative fuels,
and overall economic conditions.  It is impossible to predict future oil and gas
price  movements  with  any  certainty.

The Company's oil and gas business is also subject to all of the operating risks
normally  associated  with  the  exploration  for and production of oil and gas,
including,  without  limitation,  blowouts,  cratering,  pollution, earthquakes,
labor disruptions and fires, each of which could result in substantial losses to
the  Company  due  to injury or loss of life and damage to or destruction of oil
and  gas  wells,  formations,  production  facilities  or  other properties.  In
accordance  with  customary  industry practices, the Company maintains insurance
coverage  limiting  financial  loss  resulting  from  certain of these operating
hazards.  Losses  and  liabilities arising from uninsured or underinsured events
would  reduce  revenues  and  increase  costs  to  the Company.  There can be no
assurance  that  any  insurance will be adequate to cover losses or liabilities.
The  Company  cannot  predict  the  continued  availability of insurance, or its
availability  at  premium  levels  that  justify  its  purchase.

The  Company's  oil  and  gas  business  is  also  subject  to  laws,  rules and
regulations  in  the  countries  where  it  operates, which generally pertain to
production  control,  taxation,  environmental  and  pricing concerns, and other
matters  relating to the petroleum industry.  Many jurisdictions have at various
times  imposed  limitations  on  the  production  of  natural  gas  and  oil  by
restricting  the  rate  of flow for oil and natural-gas wells below their actual
capacity.  There  can be no assurance that present or future regulation will not
adversely  affect  the  operations  of  the  Company.

The  Company  is subject to extensive environmental laws and regulations.  These
laws  regulate the discharge of oil, gas or other materials into the environment
and  may  require the Company to remove or mitigate the environmental effects of
the  disposal  or  release of such materials at various sites.  The Company does
not  believe that its environmental risks are materially different from those of
comparable  companies  in  the oil and gas industry.  Nevertheless, no assurance
can  be  given  that environmental laws and regulations will not, in the future,
adversely affect the Company's consolidated results of operations, cash flows or
financial position.  Pollution and similar environmental risks generally are not
fully  insurable.

CERTAIN  FACTORS  RELATING  TO  INTERNATIONAL  OPERATIONS

The  Company  derives  substantially  all  of  its  consolidated  revenues  from
international  operations.  Risks  inherent  in international operations include
loss  of  revenue,  property  and  equipment from such hazards as expropriation,
nationalization,  war,  insurrection and other political risks; trade protection
measures;  risks  of  increases  in  taxes  and  governmental  royalties;  and
renegotiation  of  contracts  with  governmental entities; as well as changes in
laws and policies governing operations of other companies.  Other risks inherent
in  international  operations  are  the  possibility  of  realizing  economic
currency-exchange  losses  when  transactions  are completed in currencies other
than  U.S.  dollars  and the Company's ability to freely repatriate its earnings
under  existing  exchange  control  laws.  To  date, the Company's international
operations  have  not  been  materially  affected  by  these  risks.

CERTAIN  FACTORS  RELATING  TO  COLOMBIA

The  Company  is  a  participant  in  significant oil and gas discoveries in the
Fields,  located  approximately  160 kilometers (100 miles) northeast of Bogota,
Colombia.  Development  of  reserves  in  the Fields is ongoing and will require
additional  drilling and completion of the production facilities currently under
construction.  The  Company  expects  that  the  production  facilities  will be
completed  during  1998  and  that  drilling  will  continue at least into 1999.
Pipelines  connect  the  major producing fields in Colombia to export facilities
and  to  refineries.

From time to time, guerrilla activity in Colombia has disrupted the operation of
oil  and gas projects causing increased costs.  Such activity increased over the
last  year,  causing  delays in the development of the Cupiagua Field.  Although
the  Colombian  government,  the  Company  and  its partners have taken steps to
maintain  security  and favorable relations with the local population, there can
be  no  assurance  that attempts to reduce or prevent guerrilla activity will be
successful or that guerrilla activity will not disrupt operations in the future.

Colombia  is among several nations whose progress in stemming the production and
transit  of illegal drugs is subject to annual certification by the President of
the  United  States.  In 1998, the President of the United States announced that
Colombia  would  not  be  certified, but was granted a national interest waiver.
There  can  be  no  assurance  that,  in  the  future,  Colombia  will  receive
certification  or  a  waiver.  The  consequences  of  the  failure  to  receive
certification  or  a  national  interest waiver generally include the following:
all  bilateral  aid,  except  anti-narcotics  and  humanitarian  aid,  would  be
suspended;  the Export-Import Bank of the United States and the Overseas Private
Investment Corporation would not approve financing for new projects in Colombia;
U.S.  representatives  at multilateral lending institutions would be required to
vote  against  all  loan  requests  from Colombia, although such votes would not
constitute  vetoes;  and  the  President of the United States and Congress would
retain  the  right  to apply future trade sanctions.  Each of these consequences
could  result  in  adverse  economic  consequences in Colombia and could further
heighten  the  political  and  economic  risks  associated  with  the  Company's
operations  in  Colombia.  Any  changes in the holders of significant government
offices  could  have adverse consequences on the Company's relationship with the
Colombian national oil company and the Colombian government's ability to control
guerrilla  activities  and  could  exacerbate  the  factors  relating to foreign
operations  discussed  above.

CERTAIN  FACTORS  RELATING  TO  MALAYSIA-THAILAND

The Company is a partner in a significant gas exploration project located in the
upper Malay Basin in the Gulf of Thailand approximately 450 kilometers northeast
of  Kuala  Lumpur  and  750  kilometers south of Bangkok as a contractor under a
production-sharing  contract  covering Block A-18 of the Malaysia-Thailand Joint
Development  Area.  Test  results  to date indicate that significant gas and oil
deposits  lie  within  the block.  Development of gas production is in the early
planning  stages  but is expected to take several years and require the drilling
of  additional  wells  and the installation of production facilities, which will
require  significant  additional  capital  expenditures,  the ultimate amount of
which  cannot  be  predicted.  Pipelines  also  will be required to be connected
between Block A-18 and ultimate markets.  The terms under which any gas produced
from  the  Company's  contract area in Malaysia-Thailand is sold may be affected
adversely by the present monopoly, gas-purchase and transportation conditions in
both Malaysia and Thailand.  In connection with the sale to a subsidiary of ARCO
of  one-half of the shares of the Company's subsidiary that held its interest in
Block  A-18,  ARCO  agreed  to  pay all future exploration and development costs
attributable  to  the Company's and ARCO's collective interest in Block A-18, up
to  $377  million  or until first production from a gas field, at which time the
Company  and  ARCO  would  each  pay  50%  of  such  costs.  See  note  3- Asset
Dispositions.

COMPETITION

The  Company  encounters  strong competition from major oil companies (including
government-owned  companies),  independent  operators  and  other  companies for
favorable  oil  and  gas concessions, licenses, production-sharing contracts and
leases,  drilling  rights and markets.  Additionally, the governments of certain
countries  where  the  Company  operates may from time to time give preferential
treatment to their nationals.  The oil and gas industry as a whole also competes
with  other  industries  in  supplying  the  energy  and  fuel  requirements  of
industrial,  commercial  and  individual  consumers.

MARKETS

Crude oil, natural gas, condensate, and other oil and gas products generally are
sold  to  other oil and gas companies, government agencies and other industries.
The  availability  of  ready markets for oil and gas that might be discovered by
the  Company and the prices obtained for such oil and gas depend on many factors
beyond  the  Company's  control,  including  the  extent of local production and
imports  of  oil  and  gas,  the  proximity  and capacity of pipelines and other
transportation facilities, fluctuating demands for oil and gas, the marketing of
competitive  fuels,  and  the  effects of governmental regulation of oil and gas
production  and  sales.  Pipeline  facilities  do  not exist in certain areas of
exploration  and,  therefore, any actual sales of discovered oil or gas might be
delayed  for  extended  periods  until  such  facilities  are  constructed.

LITIGATION

The outcome of litigation and its impact on the Company are difficult to predict
due  to  many  uncertainties,  such as jury verdicts, the application of laws to
various  factual  situations,  the actions that may or may not be taken by other
parties  and the availability of insurance.  In addition, in certain situations,
such  as  environmental claims, one defendant may be responsible, or potentially
responsible, for the liabilities of other parties. Moreover, circumstances could
arise  under which the Company may elect to settle claims at amounts that exceed
the  Company's  expected  liability  for  such  claims  in order to avoid costly
litigation.  Judgments  or  settlements  could,  therefore, exceed any reserves.


ITEM 2.     MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL
                  CONDITION  AND  RESULTS  OF  OPERATIONS
                    LIQUIDITY AND CAPITAL REQUIREMENTS
                    ----------------------------------

     Cash  and  cash  equivalents  totaled  $59.3  million  and $13.5 million at
September  30,  1998,  and  December  31,  1997,  respectively.  Working capital
(deficit)  was  $20.5  million  at  September  30,  1998,  compared with ($115.2
million)  at  December  31,  1997.  Current liabilities included deferred income
totaling $35.3 million at September 30, 1998 and at December 31, 1997 related to
a  forward  oil  sale consummated in 1995.  The following summary table reflects
cash  flows  for  the  Company  for the nine months ended September 30, 1998 (in
thousands):




                                                                  
Net cash provided (used) by operating activities                        $  6,400
Net cash provided (used) by investing activities                        $118,515
Net cash provided (used) by financing activities                        $(78,706)



    Operating Activities
    --------------------

       The Company's cash flows provided by operating activities for the nine
months  ended  September  30, 1998, benefited from increased production from the
Cusiana  and  Cupiagua fields (the "Fields") in Colombia.  Gross production from
the Fields averaged 324,000 barrels per day ("BPD") during the first nine months
of  1998.  The  increased  production  was  partially  offset by a lower average
realized  oil  price.  See  "Results of Operations - Sales and Other Operating
Revenues"  below.

     Investing  Activities
     ---------------------

     The  Company's  capital  expenditures  and  other  capital investments were
$140.4  million  ($120.6  million  excluding  capitalized interest) for the nine
months  ended  September  30,  1998,  primarily  for  development of the Fields.
Development  of  the  Fields,  including drilling and construction of additional
production  facilities,  will  require  further  capital outlays.  The Company's
capital  budget  for  the  year ending December 31, 1998, was approximately $176
million,  excluding  capitalized  interest,  of which approximately $103 million
related to the Fields ($75.3 million incurred through September 30), $23 million
related  to  Block  A-18  ($13.2 million incurred through September 30), and $50
million  related  to the Company's activities in other parts of the world ($32.1
million  incurred  through  September  30).

     In February 1998, the Company sold Triton Pipeline Colombia, Inc., a wholly
owned  subsidiary  that held the Company's 9.6% equity interest in the Colombian
pipeline  company,  Oleoducto  Central  S.  A. ("OCENSA"), to an unrelated third
party  for  $100  million.  Net  proceeds were approximately $97.7 million after
$2.3  million  of  expenses.

     In  July  1998,  the Company and a subsidiary of Atlantic Richfield Company
("ARCO")  signed  an  agreement  providing  financing for the development of the
Company's  gas reserves on Block A-18 of the Malaysia-Thailand Joint Development
Area.  Under terms of the agreement, consumated in August 1998, the Company sold
to  a  subsidiary  of  ARCO  for  $150  million  one-half  of  the shares of the
subsidiary  through  which  the  Company owned its 50% share of Block A-18.  The
agreements also require ARCO to pay all future exploration and development costs
attributable  to  the Company's and ARCO's collective interest in Block A-18, up
to  $377  million  or until first production from a gas field, at which time the
Company and ARCO would each pay 50% of such costs.  Additionally, the agreements
require  ARCO  to pay the Company an additional $65 million each at July 1, 2002
and  July  1,  2005,  if certain specific development objectives are met by such
dates, or $40 million each if the objectives are met within one year thereafter.

     Financing  Activities
     ---------------------

      During  the  nine  months  ended  September 30, 1998, the Company used
proceeds  from  the sale of assets and issuance of equity securities (see below)
to  repay  borrowings  under  unsecured credit facilities and fund other capital
requirements.

     On  August  31,  1998,  the Company entered into a Stock Purchase Agreement
(the "Purchase  Agreement")  with  HM4  Triton,  L.P. ("HM4 Triton"), an
affiliate of Hicks,  Muse,  Tate  & Furst Incorporated. The First Closing, as
contemplated by the  Purchase  Agreement,  occurred on September 30, 1998,
pursuant to which the Company  issued  to  HM4  Triton  1,822,500  shares of 8%
convertible preference shares  ("8%  preference  shares")  for  $70.00  per
share, or total proceeds of $127.6  million  (before expenses of $10.8 million).
Each 8% preference share is convertible at any time at the option of the holder
into four ordinary shares of the  Company  (subject  to  certain  antidilution
protections).  Holders  of 8% preference  shares are entitled to receive, when
and if declared by the Board of Directors,  cumulative  dividends  at  a  rate
per  annum  equal  to  8% of the liquidation  preference of $70.00 per share,
payable for each semi-annual period ending  June  30  and  December  30,
commencing June 30, 1999.  At the Company's option,  dividends  may  be  paid
in cash or by the issuance of additional whole shares  of  8%  preference
shares.

     The  Purchase  Agreement  requires the Company to conduct a rights offering
(the  "Rights  Offering") pursuant to which the Company would distribute to each
record  holder  of  ordinary  shares,  5%  convertible  preference shares and 8%
preference  shares, as of a record date to be established by the Company's Board
of  Directors,  the transferable right (the "Rights") to purchase, at $70.00 per
share,  a  pro-rata  portion  (determined based on the number of ordinary shares
into  which  such shares are convertible as of the record date) of approximately
3,177,500 8% preference shares, for an aggregate purchase price of approximately
$222  million.  The  Purchase  Agreement  provides  that  following  the  Rights
Offering,  subject  to  the  terms  and  conditions  set  forth  in the Purchase
Agreement,  HM4  Triton  would  be required to purchase at a second closing (the
"Second  Closing")  a  number of 8% preference shares equal to (i) the number of
shares  it  could  purchase  upon  exercise  of Rights it receives in the Rights
Offering  in  respect of the 8% preference shares it holds as of the record date
and  (ii)  any  8%  preference shares not subscribed for in the Rights Offering;
provided  that  HM4  Triton  is  not required to purchase more than 3,177,500 8%
preference  shares  at the Second Closing. If all 3,177,500 8% preference shares
are  issued,  the  total  number  of  8%  preference  shares  outstanding (on an
as-converted basis) would represent approximately 35% of the Company's pro forma
ordinary shares outstanding. HM4 Triton's obligations to purchase any additional
8%  preference  shares  at  the  Second  Closing is subject to customary closing
conditions.  On  November  10,  1998,  the  Company  announced  that  the Rights
Offering,  as  previously  announced,  would  be  delayed, and could possibly be
restructured  or cancelled, following consideration by the Company of additional
capital  raising  alternatives.

     Future  Capital  Needs
     ----------------------

     The  Company  is  continuing  its  efforts  to  reduce  its  general  and
administrative  expenses and exploration expenditures. Nevertheless, the Company
expects  that  cash  from operating activities in 1999 will not be sufficient to
cover  all  of  its  capital needs for 1999. For internal planning purposes, the
Company  is  assuming  that  the  West Texas Intermediate oil price will average
$14.00  per  barrel  in 1999, that average daily oil production from the Cusiana
and Cupiagua fields in 1999 will  average approximately 430,000 barrels per day,
that  the  Company's  share  of  capital  expenditures  in  Colombia  will  be
approximately  $85  million  to  $90  million  (as  currently  estimated  by the
operator)  and  that  the Company will be successful in reducing its exploration
commitments  by approximately one-half. Based on these assumptions, the Company
expects  that  it would spend at least $100 to $125 million more in cash in 1999
than  it  generates  from  operating activities. The Company expects to fund the
shortfall  by a combination of cash on hand and, either proceeds from the Rights
Offering  and  the  issuance  of  additional  8% preference shares to HM4 Triton
pursuant  to the Purchase Agreement or other capital raising alternatives. These
assumptions  may not prove to be valid or other factors may materially adversely
impact  the  Company's cash position. If the Rights Offering and the issuance of
the  additional  8%  preference  shares  to HM4 are not consummated, the Company
expects that it will be required to seek alternative sources of capital in early
1999.

     In  connection  with  the issuance of the 1,822,500 shares of 8% preference
shares  to HM4 Triton in September 1998, the Company and HM4 Triton entered into
a Shareholders Agreement (the "Shareholders Agreement") pursuant to which, among
other  things,  HM4  Triton  (and  its designated transferees, collectively) may
designate  a certain number of nominees for election to the Board.  In addition,
the  Shareholders  Agreement  provides  that,  for so long as HM4 Triton and its
affiliates  continue  to  hold  a  certain  minimum  number  of  ordinary shares
(assuming  conversion of 8% preference shares into ordinary shares), the Company
may  not  take  certain actions without the consent of HM4 Triton, including (i)
entering  into any merger or sale of substantial assets, (ii) issuing a class of
preference  shares  that  would  rank  equal  to  or senior to the 8% preference
shares, (iii) paying dividends on ordinary shares or other shares ranking junior
to  the  8%  preference shares, other than regular dividends on the Company's 5%
convertible  preference  shares,  or  (iv)  incurring  indebtedness  (other than
certain  permitted  indebtedness),  or  issuing  preference  shares,  unless the
Company's  leverage  ratio  at  the  time, after giving pro forma effect to such
incurrence or issuance and to the use of the proceeds, is less than 2.5 to 1. As
a  result  of HM4 Triton's ownership of 8% preference shares and ordinary shares
and  the  rights  conferred  upon  HM4  Triton and its designees pursuant to the
Shareholders Agreement, HM4 Triton has significant influence over the actions of
the  Company  and  will  be  able to influence, and in some cases, determine the
outcome  of matters submitted for approval of the shareholders. The existence of
HM4  Triton  as  a  shareholder  of the Company may make it more difficult for a
third  party  to acquire, or discourage a third party from seeking to acquire, a
majority  of the outstanding ordinary shares. A third party would be required to
negotiate  any such transaction with HM4 Triton, and the interests of HM4 Triton
as  a  shareholder may be different from the interests of the other shareholders
of  the  Company.


                              RESULTS OF OPERATIONS
                              ---------------------


     Sales volumes and average prices realized were as follows:



                                              THREE MONTHS ENDED         NINE MONTHS ENDED
                                                SEPTEMBER 30,              SEPTEMBER 30,
                                             -------------------         ------------------
                                               1998        1997            1998        1997
                                             --------     ------          ------     ------
                                                                          
Sales volumes
 Oil (MBbls), excluding forward oil sale        2,620      1,374            6,585     3,805
 Forward oil sale (1)  (MBbls delivered)          762        762            2,287     1,700
                                             --------     -------         -------   -------
     Total                                      3,382      2,136            8,872     5,505
                                             ========     =======         =======   =======

    Gas (MMcf)                                    109         277             376       481

Weighted average price realized:
 Oil (per Bbl)                               $  12.57     $ 17.18         $ 12.94   $ 17.93
 Gas (per Mcf)                               $   0.91     $  1.06         $  1.01   $  1.14





(1)   Commencing  April  1,  1997, the delivery requirements under the forward
      oil sale increased by 195,711 barrels of oil  per  month.




                     THREE MONTHS ENDED SEPTEMBER 30, 1998,
               COMPARED WITH THREE MONTHS ENDED SEPTEMBER 30, 1997

Sales  and  Other  Operating  Revenues
- --------------------------------------

     Oil  and  gas  sales for the third quarter of 1998 totaled $42.6 million, a
15%  increase from the third quarter of 1997, due to higher production which was
partially  offset  by  lower  average  realized  oil  prices.  Oil  production,
including  production  related  to barrels delivered under the forward oil sale,
increased  58%  in  third  quarter  1998,  compared  to  the prior-year quarter,
resulting  in  an  increase in revenues of $21.4 million.  Gross production from
the  Fields averaged 359,000 BPD for the third quarter 1998, compared to 220,000
BPD  for  the prior-year quarter.  The increased production was primarily due to
the  start-up  in  late  1997  of two new 80,000 BPD oil-production units at the
Cusiana  central processing facility.  In addition, a 100,000 BPD oil-production
unit  at  the  Cupiagua  central processing facility began production during the
latter-half  of  the  third  quarter.  The  average realized oil price decreased
$4.61  per  barrel, or 27%, resulting in a decrease in revenues of $15.6 million
compared  to  the  same  period  in  1997.  The lower average realized oil price
resulted from a significant decrease in the 1998 average West Texas Intermediate
("WTI")  oil  price,  compared  with  the  prior-year  quarter.

     In  August 1998, the Company sold to a subsidiary of ARCO for $150 million,
one-half of the shares of the subsidiary through which the Company owned its 50%
share  of  Block A-18 in the Malaysia-Thailand Joint Development Area.  The sale
resulted  in  an  aftertax  gain  of  $63.2  million.

Costs  and  Expenses
- --------------------

     Operating  expenses  increased  $5.2  million  in  1998,  and depreciation,
depletion  and  amortization  increased  $4.5  million,  primarily due to higher
production volumes, including barrels delivered under the forward oil sale.  The
Company  pays  lifting  costs,  production taxes and transportation costs to the
Colombian  port  of  Covenas  for  barrels to be delivered under the forward oil
sale.

     The Company's operating costs per equivalent-barrel were $5.76 and $6.58 in
1998  and  1997,  respectively.  Operating  expenses  on a per equivalent-barrel
basis  were  lower  primarily due to higher production volumes and a decrease in
production  taxes  of  $1.7  million. Beginning in 1998, no production taxes are
assessed  on production from the Cusiana Field.  The Company will be required to
pay  production  taxes  on  production  from  the  Cupiagua  Field  equating  to
approximately  5.5%,  4% and 2.5% of gross realized oil prices during 1998, 1999
and  2000,  respectively.  These  improvements  to operating cost were partially
offset  by an increase in OCENSA pipeline tariffs which totaled $12.6 million or
$3.99  per  barrel,  and  $7.2  million  or  $3.72  per barrel in 1998 and 1997,
respectively.  OCENSA imposes a tariff on shippers from the Fields (the "Initial
Shippers"),  which is estimated to recoup: the total capital cost of the project
over  a  15-year  period;  its  operating  expenses, which include all Colombian
taxes;  interest  expense;  and  the  dividend  to  be  paid  by  OCENSA  to its
shareholders.  Any  shippers  of  crude  oil  who  are  not Initial Shippers are
assessed  a  premium  tariff on a per-barrel basis, and OCENSA will use revenues
from  such  tariffs  to  reduce  the  Initial  Shippers'  tariff.

     In  July  1998,  the  Company commenced a plan to restructure the Company's
operations,  reduce  overhead  costs  and  substantially  scale back exploration
related  expenditures.  As a result of the restructuring, the Company recognized
non-recurring  charges  totaling  $15  million  in the third quarter.  The major
component  of  the  non-recurring  charges  relates  to  the  elimination  of
approximately  105  positions  or  41% of the Company's worldwide workforce.  An
accrual  of  $11.2  million was included in non-recurring charges related to the
reduction  in  workforce  for  severence,  benefit continuation and outplacement
costs.  Additionally,  the  Company  has  closed or is in the process of closing
branch  offices in four countries which resulted in a $2.1 million non-recurring
charge related to the termination of office leases and the write-down of related
assets  to their fair market value.  The Company expects to complete the closing
of its branch offices by the third quarter of 1999.  The remaining non-recurring
charges  of  $1.7  million  primarily  related to the write-off of surplus fixed
assets  resulting  from  the  reduction  in  workforce.

     General  and  administrative  expense  before capitalization decreased $5.5
million  to $10.9 million in 1998.  Capitalized general and administrative costs
were  $4.5 million and $9.7 million in 1998 and 1997, respectively.  General and
administrative  expenses,  and the portion capitalized, decreased as a result of
restructuring  activities  undertaken  in  the  third  quarter.  The  Company is
continuing  its  efforts  to  reduce its general and administrative expenses and
exploration  expenses.  As  a result, the Company expects that gross general and
administrative  expense  and  the  portion of general and administrative expense
that  will  be  capitalized  will  decrease  in  future  periods.

Other  Income  and  Expenses
- ----------------------------

     Gross  interest  expense  for 1998 and 1997 totaled $11.9 million and $12.3
million,  respectively,  while  capitalized  interest  for  1998  decreased $1.4
million  to $5.2 million.  The decrease in capitalized interest is primarily due
to the writedown of unevaluated property totaling $73.9 million in June 1998 and
a  sale of 50% of the Company's Block A-18 project in August 1998.  On September
30  and  October  1,  1998,  the  Company  repaid a total of $81.9 million under
unsecured  bank  credit  facilities  which  constitutes  all  of  the  Company's
outstanding  borrowings  under  bank  credit  facilities.

     Other  income,  net included foreign exchange gains of $.8 million and $5.8
million in 1998 and 1997, respectively, primarily related to noncash adjustments
to  deferred  tax  liabilities  in  Colombia  associated with devaluation of the
Colombian peso versus the U.S. dollar.  In 1998 and 1997, the Company recognized
gains  of  $5.3  million  and  $1.4  million,  respectively,  on  the  sale  of
non-operating  assets.  These  gains  were  offset by an unrealized loss of $2.1
million  on  the  change  in  the  fair  value  of  the  equity  swap  in  1998.
Fluctuations  in the fair value of the equity swap will continue to affect other
income  as  noncash adjustments, the magnitude of which cannot be predicted with
any  certainty.  See  Item  1.  Notes  to  Condensed  Consolidated  Financial
Statements,  note  3  -  Asset  Dispositions.

Income  Taxes
- -------------

     Statement  of  Financial  Accounting  Standards  No.  109  ("SFAS  109"),
"Accounting  for Income Taxes," requires that the Company make projections about
the  timing  and  scope  of  certain  future  business  transactions in order to
estimate  recoverability  of  deferred  tax  assets primarily resulting from the
expected utilization of net operating loss carryforwards.  Changes in the timing
or  nature  of  actual  or  anticipated  business  transactions, projections and
income  tax  laws  can  give  rise  to  significant adjustments to the Company's
deferred  tax  expense  or  benefit that may be reported from time to time.  For
these  and  other  reasons,  compliance  with SFAS 109 may result in significant
differences between tax expense for income statement purposes and taxes actually
paid.

     The  income  tax provisions for 1998 and 1997 included deferred tax expense
of  $1.5  million  and  $3.9 million, respectively. Current taxes related to the
Company's Colombian operations totaled $1.3 million and $1.4 million in 1998 and
1997,  respectively.


                      NINE MONTHS ENDED SEPTEMBER 30, 1998
               COMPARED WITH NINE MONTHS ENDED SEPTEMBER 30, 1997


Sales  and  Other  Operating  Revenues
- --------------------------------------

     Oil  and  gas sales in 1998 totaled $115.2 million, a 16% increase from the
prior year, due to higher production which was offset partially by lower average
realized  oil  prices.  Oil  production, including production related to barrels
delivered  under  the  forward  oil  sale, increased 61% in 1998 compared to the
prior  year, resulting in increased revenues of $60.5 million.  Gross production
from  the  Fields averaged 324,000 BPD in 1998, compared to 195,000 BPD in 1997.
The increased  production was primarily due to the  start-up in late 1997 of two
new  80,000 BPD oil-production units at the Cusiana central processing facility.
In  addition,  a  100,000  BPD  oil-production  unit  at  the  Cupiagua  central
processing  facility began production in the latter-half of the third quarter of
1998.  The  average  realized  oil  price  decreased  $4.99  per barrel, or 28%,
resulting  in  a  decrease  in  revenues of $44.4 million compared to 1997.  The
lower  average realized oil price primarily resulted from a significant decrease
in  the  1998  average  WTI  oil  price, compared with the prior-year period and
increased  deliveries  under the forward oil sale.  In April 1997, the Company's
delivery  requirements  under the forward oil sale increased from 58,425 barrels
per  month  to  254,136  barrels  per  month.

Costs  and  Expenses
- --------------------

     Operating  expenses  increased  $19.8  million  in  1998, and depreciation,
depletion  and  amortization  increased  $13.9  million, primarily due to higher
production volumes, including barrels delivered under the forward oil sale.  The
Company's operating costs per equivalent-barrel were $6.44 and $6.75 in 1998 and
1997,  respectively.  OCENSA pipeline tariffs totaled $38.2 million or $4.51 per
barrel,  and  $19.6  million or $3.83 per barrel in 1998 and 1997, respectively.
The  increase  in  OCENSA pipeline tariffs was partially offset by a decrease in
production  taxes  of  $5.6  million.

     General  and  administrative  expense  before capitalization decreased $6.5
million  in 1998 to $38.1 million.  Capitalized general and administrative costs
were $17.5 million and $24.4 million in 1998 and 1997, respectively. General and
administrative  expense  and  the  portion capitalized, decreased as a result of
restructuring  activities  undertaken  in  the  third  quarter.

     In  June  1998,  the carrying amount of the Company's evaluated oil and gas
properties  in  Colombia were written down by $105.4 million ($68.5 million, net
of tax) through application of the full cost ceiling limitation as prescribed by
the  SEC,  principally  as a result of a decline in oil prices.  The SEC ceiling
test  was  calculated using the June 30, 1998 WTI oil price of $14.18 per barrel
that, after a differential for Cusiana crude delivered at the port of Covenas in
Colombia,  resulted  in  a  net  price  of  approximately  $13  per  barrel.  An
additional  writedown  may  be  required  if oil prices fall below this level at
later  quarter  end  dates.

     In  conjunction  with  the  plan  to  restructure operations and scale back
exploration  related  expenditures,  the  Company  assessed  its  investments in
exploration  licenses and determined that certain investments were impaired.  As
a  result,  unevaluated  oil  and gas properties and other assets totaling $77.3
million ($72.6 million, net of tax) were expensed.  The writedown included $27.2
million  and  $22.5  million  related  to  exploration activity in Guatemala and
China,  respectively.  The  remaining  writedowns  related  to  the  Company's
exploration  projects  in  certain  other  areas  of  the  world.

Other  Income  and  Expense
- ---------------------------

     In  1998,  the  Company sold Triton Pipeline Colombia, Inc., a wholly owned
subsidiary  that  held  the  Company's  9.6%  equity  interest  in the Colombian
pipeline  company,  OCENSA,  for  $100 million.  Net proceeds were approximately
$97.7  million after $2.3 million of expenses.  The sale resulted in an aftertax
gain  of  $50.2  million.

     Other  income, net included foreign exchange gains of $2.5 million and $8.7
million in 1998 and 1997, respectively, primarily related to noncash adjustments
to  deferred  tax  liabilities  in  Colombia  associated with devaluation of the
Colombian peso versus the U.S. dollar.  In 1998 and 1997, the Company recognized
gains  of  $6.8  million  and  $1.5  million,  respectively,  on  the  sale  of
non-operating  assets.  An  unrealized  gain  (loss)  of  $.5  million and ($3.4
million)  was recognized in 1998 and 1997, respectively, representing the change
in  the fair market value of call options purchased in anticipation of a forward
oil sale in 1995.  These gains were offset by an unrealized loss of $2.9 million
on  the change in the fair market value of the equity swap in 1998.  See Item 1.
Notes  to  Condensed  Consolidated  Financial  Statements,  note  3  -  Asset
Dispositions.

Income  Taxes
- -------------

     The  income  tax provisions for 1998 and 1997 included deferred tax expense
(benefit)  of  ($34.3  million)  and  $5.6  million,  respectively.  The benefit
recognized  in  1998  primarily  resulted  from  the  writedown  of  oil and gas
properties.  Current taxes related to the Company's Colombian operations totaled
$2.6  million  and  $3.2  million  in  1998  and  1997,  respectively.

Extraordinary  Item
- -------------------

     In  May  and  June  1997,  the Company completed a tender offer and consent
solicitation with respect to its Senior Subordinated Discount Notes due November
1,  1997  ("1997  Notes")  and  9  3/4%  Senior  Subordinated Discount Notes due
December  15,  2000 ("9 3/4% Notes") that resulted in the retirement of the 1997
Notes  and  substantially  all  of  the  9 3/4% Notes.  The Company's results of
operations  for  the  nine  months  ended  September  30,  1997,  included  an
extraordinary  expense  of  $14.5  million,  net  of a $7.8 million tax benefit,
associated  with  the  extinguishment of the  1997 Notes and 9 3/4% Notes.  The
remainder  of  the  9 3/4%  Notes  were  retired  in  1998.



                        Recent Accounting Pronouncements
                        --------------------------------

          In  June  1998,  the  Financial  Accounting  Standards  Board  issued
Statement  No.  133  ("SFAS  133"),  "Accounting  for Derivative Instruments and
Hedging  Activities."  SFAS  133  establishes accounting and reporting standards
for  derivative instruments and for hedging activities.  It requires enterprises
to  recognize  all  derivatives  as  either assets or liabilities in the balance
sheet and measure those instruments at fair value.  The requisite accounting for
changes in the fair value of a derivative will depend on the intended use of the
derivative  and  the  resulting  designation.  The  Company  must adopt SFAS 133
effective  January  1,  2000.  Based  on  the  Company's outstanding derivatives
contracts,  the  impact  of  adopting  this  standard  would not have a material
adverse  effect on the Company's operations or consolidated financial condition.
However,  no  assurances can be given with regards to the level of the Company's
derivatives  activities  at the time SFAS 133 is adopted or the resulting effect
on  the  Company's  operations  or  consolidated  financial  condition.

                      Information Systems and the Year 2000
                      -------------------------------------


     The  Year 2000 issue involves circumstances where a computerized system may
not properly recognize or process date-sensitive information on or after January
1,  2000.  The Company began a formal process in 1998 to identify those internal
computerized  systems  that  are  not  Year  2000  compliant,  prioritize  those
business-critical  computerized  systems  that  need remediation or replacement,
test  compliance once the appropriate corrective measures have been implemented,
and  develop any contingency plans where considered necessary.  In addition, the
Company  intends to conduct a survey of partners, vendors and customers that the
Company  believes  could  have  an  impact  on  the  Company's material business
operations.

     The  Company's  information  technology  infrastructure consists of desktop
Pentium class Intel based PC systems, servers and Sparc UNIX based computers and
off-the-shelf  software packages. The systems are networked via Microsoft NT 4.0
and  other  telecommunications  equipment.  The  Company  does  not  use mini or
mainframe  computer  systems  and uses only off-the-shelf software products. The
PBX  and  phone  system is a standard off-the-shelf phone system with voice mail
capability.  Additionally,  telefax  and copier machines are additional business
tools  used  by  the  Company  in  conducting  its  day  to  day  activities.

     The  Company  has  substantially  completed  its  assessment  of  Year 2000
readiness  of  its  internal  computerized  systems. The next phase will include
installing  upgrades  to  its  off-the-shelf  financial and operational software
applications,  hardware  and  telecommunications equipment.  The Company expects
that  such  remediation  procedures  will  be completed by the second quarter of
1999.  The  last  phase will include testing of newly upgraded systems to ensure
compliance  with  Year  2000 date recognition and the development of contingency
plans.  The  Company expects to complete this last phase by the third quarter of
1999.

     All of the  Company's  sales  are  derived  from  oil  and gas production
from the Fields,  which  is heavily dependent upon the operation of the Fields
by British Petroleum  Colombia  (the  "Operator")  and  the  transportation  of
oil through OCENSA,  the  Colombian pipeline company.  The Company is monitoring
progress of the  Operator  of  the Fields and OCENSA on their activities related
to the Year 2000.  At  this  time,  the  Company  expects  that field operations
will not be interrupted due to improper recognition of the Year 2000 by
computerized systems of  the  Operator  of  the Fields or OCENSA.  There can be
no assurance that the Operator  of  the  Fields  or  OCENSA will not experience
problems with the Year 2000,  or  that  contingency plans will resolve any
problems experienced, or the timeliness of implementing such contingency plans.

The  Company  also  relies on other oil and gas partners, vendors, and financial
institutions  in  its  daily operations.  The Company believes it has identified
those third-party relationships that could have a material adverse effect on the
Company's results of operations and financial position should their computerized
systems  not  be compliant for the Year 2000.  The Company intends to survey the
identified  third  parties  on  their  readiness for the Year 2000 and establish
appropriate  alternatives, if needed, where noncompliance may pose a risk to the
Company's  operations.

The Company does not believe that the costs to resolve any Year 2000 issues will
be  material.  To  date,  the  Company has spent less than $100,000 on Year 2000
matters  and it expects that the total cost, primarily consulting fees, will not
exceed  $700,000.

     The  failure  to  correct  a material Year 2000 problem by the Company, its
partners  or  other  vendors  could  result  in an interruption of the Company's
normal  business activities or operations, including production in the Fields or
transportation  of  the  Company's  crude  oil  to  the  port  of  Covenas.  Any
interruptions could result in a material adverse effect on the Company's results
of  operations,  cash  flows  and  financial  condition.  Due  to  the  inherent
uncertainties  relating  to  the  effect  of  the  Year  2000  on  the Company's
operations,  it  is difficult to predict what impact, if any, noncompliance with
the Year 2000 issue will have on the Company's results of operations, cash flows
and  financial  condition.

     As  the  Company  progresses  further  through  its  Year 2000 analysis, it
intends  to  develop  contingency  plans  for  risks that could cause a material
adverse  effect on the Company's results of operations, cash flows and financial
condition.

               Certain Factors That Could Affect Future Operations
               ---------------------------------------------------

     Certain  statements  in  this  report,  including expectations, intentions,
plans and beliefs of the Company and management, are forward-looking statements,
as  defined  in  Section 21E of the Securities Exchange Act of 1934, as amended,
that  are  dependent  on  certain  events,  risks  and uncertainties that may be
outside  the  Company's  control.  These  forward-looking  statements  include
statements  of  management's  plans  and  objectives  for  the  Company's future
operations  and statements of future economic performance; information regarding
schedules  for  the  completion  of production facilities; the closing of branch
offices;  changes  in  gross  general and administrative expense and the portion
that  will  be  capitalized;  expected  or  planned production or transportation
capacity;  when the Fields might become self-financing; future production of the
Fields;  the  negotiation  of  a  gas-sales  contract  in Malaysia-Thailand; the
Company's  capital budget and future capital requirements; the Company's meeting
its  future  capital needs; the Company's realization of its deferred tax asset;
the  level  of  future  expenditures  for  environmental  costs;  the outcome of
regulatory  and  litigation  matters;  the  impact  of Year 2000 issues; and the
assumptions described in this report underlying such forward-looking statements.
Actual  results and developments could differ materially from those expressed in
or  implied  by  such  statements  due  to  a number of factors, including those
described  in  the  context  of  such forward-looking statements and in notes to
Notes  to  Condensed  Consolidated  Financial  Statements.



                           PART II. OTHER INFORMATION
ITEM  1.  LEGAL  PROCEEDINGS

     LITIGATION

In  July through October 1998, eight lawsuits were filed against the Company and
Thomas G. Finck, the former Chairman and Chief Executive Officer of the Company,
seven  of which also are brought against Peter Rugg, the Chief Financial Officer
of  the  Company.  Each  case was filed on behalf of a putative class of persons
and/or  entities  who  purchased the Company's securities between March 30, 1998
and  July  17, 1998, inclusive, and seeks recovery of compensatory damages, fees
and  costs.  The  cases  allege  violations  of  Sections 10(b) and 20(a) of the
Securities  Exchange  Act  of  1934,  as  amended,  and  Rule  10b-5 promulgated
thereunder  in  connection with disclosures concerning the Company's properties,
operations, and value relating to a prospective sale of the Company or of all or
a part of its assets. Additionally, one case alleges negligent misrepresentation
and  seeks  recovery  of punitive damages.  Each lawsuit was filed in the United
States  District Court for the Eastern District of Texas, Texarkana Division, as
follows:  D.H.  Lee,  Jr.,  et  al.  v.  Triton  Energy Limited, et al.; Richard
Strauss,  et  al. v. Triton Energy Limited, et al.; Birdie Capital Corp., et al.
v. Triton Energy Limited, et al.; North River Trading Co., LLC, et al. v. Triton
Energy  Limited,  et  al.; Ken Bortner, et al. v. Triton Energy Limited, et al.;
Richard Zorn, et al. v. Triton Energy Limited, et al.; Elizabeth Clofine, et al.
v.  Triton Energy Limited, et al.; and Sarah Schreiber, et al. v.  Triton Energy
Limited,  et  al.  On  September  21,  1998,  a motion for consolidation and for
appointment as lead plaintiffs and for approval of selection of lead counsel was
filed  with respect to the cases filed in the Texarkana Division. That motion is
presently  pending.

The  Company believes it has meritorious defenses to these claims and intends to
vigorously defend these actions.   No discovery has been taken at this time, and
the  ultimate  outcome  is not currently predictable.  There can be no assurance
that  the litigation will be resolved in the Company's favor.  An adverse result
could  have  a  material  adverse  effect on the Company's financial position or
results  of  operations


ITEM  2.  CHANGES  IN  SECURITIES  AND  USE  OF  PROCEEDS

On  September 30, 1998, the Company issued to HM4 Triton, an affiliate of Hicks,
Muse,  Tate  &  Furst Incorporated, 1,822,500 shares of 8% preference shares for
$70.00  per share, or total proceeds of $127.6 million (before expenses of $10.8
million).  The  Company  issued  the  shares to HM4 Triton in a private offering
without  registration  under the Securities Act of 1933 (the "Act"), as amended,
in  reliance  on the exemption from registration provided by Section 4(2) of the
Act.  Each  8%  preference share is convertible at any time at the option of the
holder into four ordinary shares of the Company (subject to certain antidilution
protections).  Pursuant  to  the  Shareholders Agreement between the Company and
HM4  Triton, L.P., for so long as HM4 Triton and its affiliates continue to hold
a  certain  minimum  number  of  ordinary  shares  (assuming  conversion  of  8%
preference  shares  into  ordinary  shares),  the  Company  may not take certain
actions  without  the  consent  of  HM4  Triton,  including  paying dividends on
ordinary  shares  or  other  shares  ranking junior to the 8% preference shares,
other  than regular dividends on the Company's 5% convertible preference shares.
In  addition,  the  terms  of  the  8% preference shares prohibit the payment of
dividends  on  the  ordinary shares unless full cumulative dividends on all such
outstanding  shares  have  been  paid  in full or set aside for payment.   Under
the provisions of the Company's Articles of Association, the terms of the 8%
preference shares can be amended with the  approval  of  the  holders  of  at
least two-thirds of the 8% preference  shares voting separately as a class.
See Item 1. Notes to Condensed Consolidated Financial Statements - note  9  Sale
of  9%  Preference Shares and Item 2. Management's Discussion and Analysis  of
Financial Condition and Results of Operations - Liquidity and Capital
Requirements.


ITEM  5.  OTHER  INFORMATION.

In  July  1998,  Thomas  G. Finck resigned from his positions as Chairman of the
Board and Chief Executive Officer of the Company, Sheldon R. Erikson was elected
Chairman  of  the  Board,  Robert  B.  Holland,  III,  was elected Interim Chief
Executive  Officer  and  Nick  De'Ath  resigned from his position as Senior Vice
President  Exploration  of  the  Company.

Pursuant  to  the Shareholders Agreement, on September 30, 1998, the size of the
Company's  Board of Directors was set at ten, and HM4 Triton exercised its right
to  designate  four  out of such ten directors. The Company's Board of Directors
now  consists  of  the  following  individuals:  Sheldon  R.  Erikson, Chairman,
President  and  Chief  Executive  Officer of Cooper Cameron Corporation; Jack D.
Furst,  a  Managing  Director  and  Principal  of  Hicks,  Muse,  Tate  &  Furst
Incorporated;  Thomas  O.  Hicks, Chairman and Chief Executive Officer of Hicks,
Muse,  Tate  &  Furst  Incorporated;  Fitzgerald S. Hudson, a General Partner of
Hudson  Group  Partners;  John  R. Huff, Chairman and Chief Executive Officer of
Oceaneering  International,  Inc.;  Michael  E.  McMahon,  Principal of Rockport
Partners; James C. Musselman, Chairman, President and Chief Executive Officer of
Avia  Energy  Development,  LLC,  and  currently the President and Interim Chief
Executive Officer of the Company; Lamar Norsworthy, Chairman and Chief Executive
Officer  of  The  Holly Corporation; C. Richard Vermillion, Chairman of Gammaloy
Holdings  L.P.; and J. Otis Winters, Chairman-Director of Pate, Winters & Stone,
Inc.  Messrs.  Furst,  Hicks, Vermillion and Winters are new to the Board, while
Messrs.  Erikson, Hudson, Huff, McMahon, Musselman and Norsworthy had previously
been  serving  as  members  of the Board.  Effective September 30, 1998, Messrs.
Ernest  E.  Cook, Jesse E. Hendricks, Thomas P. Kellogg, Jr., John P. Lewis, and
Edwin  D.  Williamson  resigned  from  the  Board.

In  October  1998,  the  Board of Directors of the Company elected Mr. Thomas O.
Hicks  Chairman  of  the  Board of the Company, James C. Musselman President and
Interim  Chief  Executive  Officer,  and  Robert B. Holland, III Chief Operating
Officer.  The  Board  is  continuing  its search for a permanent Chief Executive
Officer.

In  connection  with  the July 1998 change in management, in an effort to retain
the  remaining  members  of the senior management team, the Company entered into
amended and restated employment agreements with Robert B. Holland, III, then the
Interim  Chief  Executive  Officer  of  the  Company,  Peter  Rugg,  Senior Vice
President  and Chief Financial Officer, and Al E. Turner, Senior Vice President,
Operations. The new employment agreements did not change the benefits previously
provided  under  the  prior  employment  agreements  with respect to a change in
control  (although the definition of change in control was amended to reduce the
percentage  of  outstanding  securities  required to be purchased in order for a
change  of  control  to  be  triggered  from  25%  to  15%), except that the new
agreements  provide  that,  (i) rather than the officer being entitled to a cash
payment in lieu of issuing shares in respect of any options held by the officer,
such  options  would remain outstanding and be exercisable for one year from the
date  of  termination,  and  (ii)  the officer would be entitled to the lump sum
payment  under the Company's Supplemental Executive Retirement Plan in the event
of  a change in control as defined in that plan. The new agreements also added a
severance benefit in the event the officer were terminated without cause, or for
good  reason,  prior to a change in control. In the event of a termination prior
to a change in control, the officer would be entitled to the following benefits:
(i)  salary  for eighteen months following the date of termination and  (ii) any
stock  options would become fully vested and remain exercisable for one year. As
a  result  of the sale of the 1,822,500 8% preference shares to the Purchaser, a
change  in  control  has  been deemed to have occurred for the purposes of these
amended  and  restated agreements. Therefore, if any of Messrs. Holland, Rugg or
Turner  is  terminated  without  cause,  or  if  any such officer terminates his
employment  for  good reason, then such officer will be entitled to the benefits
provided  in  the  agreements.  For  purposes of these agreements, "good reason"
includes  (i)  the  assignment  to  the  officer of duties inconsistent with his
positions,  responsibilities  and  status  with  the Company, or a change in his
reporting  responsibilities,  titles  or  offices with the Company, as in effect
immediately  prior  to  the change in control, (ii) a reduction in the officer's
base  salary,  (iii)  the  officer  being required based anywhere other than the
Company's  offices  immediately  prior  to  the  change  in control and (iv) the
failure by the Company to continue in effect any benefit plan.  In addition, Mr.
Holland's  agreement was amended to include within the definition of good reason
the  appointment  of  a  new  President  or  Chief  Executive  Officer.





ITEM  6.  EXHIBITS  AND  REPORTS  ON  FORM  8-K

(a)     Exhibits:  The  following  documents are filed as part of this Quarterly
Report  on  Form 10-Q:

1.     Exhibits  required to be filed by Item 601 of Regulation S-K.  (Where the
amount  of  securities  authorized  to  be  issued  under  any  of Triton Energy
Limited's and any of its subsidiaries' long-term debt agreements does not exceed
10%  of  the  Company's  assets,  pursuant  to  paragraph  (b)(4) of Item 601 of
Regulation S-K, in lieu of filing such as exhibits, the Company hereby agrees to
furnish  to  the Commission upon request a copy of any agreement with respect to
such  long-term  debt.)





   
   3.1   Memorandum of Association. (1)
   3.2   Articles of Association. (1)
   4.1   Specimen Share Certificate of Ordinary Shares, $.01 par value, of the Company. (2)
   4.2   Rights Agreement dated as of March 25, 1996, between Triton and Chemical Bank, as
         Rights Agent, including, as Exhibit A thereto, Resolutions establishing the Junior
         Preference Shares. (1)
   4.3   Resolutions Authorizing the Company's 5% Convertible Preference Shares. (3)
   4.4   Amendment No. 1 to Rights Agreement dated as of August 2, 1996, between Triton and
         Chemical Bank, as Rights Agent. (4)
   4.5   Unanimous Written Consent of the Board of Directors authorizing a Series of
         Preference Shares. (26)
  10.1   Amended and Restated  Retirement Income Plan. (5)
  10.2   Amended and Restated Supplemental Executive Retirement Income Plan. (6)
  10.3   1981 Employee Non-Qualified Stock Option Plan. (7)
  10.4   Amendment No. 1 to the 1981 Employee Non-Qualified Stock Option Plan. (8)
  10.5   Amendment No. 2 to the 1981 Employee Non-Qualified Stock Option Plan. (7)
  10.6   Amendment No. 3 to the 1981 Employee Non-Qualified Stock Option Plan. (5)
  10.7   1985 Stock Option Plan. (9)
  10.8   Amendment No. 1 to the 1985 Stock Option Plan. (7)
  10.9   Amendment No. 2 to the 1985 Stock Option Plan. (5)
 10.10   Amended and Restated 1986 Convertible Debenture Plan. (5)
 10.11   1988 Stock Appreciation Rights Plan. (10)
 10.12   1989 Stock Option Plan. (11)
 10.13   Amendment No. 1 to 1989 Stock Option Plan. (7)
 10.14   Amendment No. 2 to 1989 Stock Option Plan. (5)
 10.15   Second Amended and Restated 1992 Stock Option Plan. (13)
 10.16   Form of Amended and Restated Employment Agreement with Triton Energy Limited
         and its executive officers. (6)
 10.17   Form of Amended and Restated Employment Agreement with Triton Energy Limited
         and certain officers. (6)
 10.18   Amended and Restated 1985 Restricted Stock Plan. (5)
 10.19   First Amendment to Amended and Restated 1985 Restricted Stock Plan. (12)
 10.20   Second Amendment to Amended and Restated 1985 Restricted Stock Plan. (13)
 10.21   Executive Life Insurance Plan. (14)
 10.22   Long Term Disability Income Plan. (14)
 10.23   Amended and Restated Retirement Plan for Directors. (9)
 10.24   Amended and Restated Indenture dated as of March 25, 1996 between Triton and
         Chemical Bank, with respect to the issuance of Senior Subordinated Discount Notes
         due 1997. (13)
 10.25   Amended and Restated Senior Subordinated Indenture by and between the Company and
         United States Trust Company of New York, dated as of March 25, 1996. (13)
 10.26   Contract for Exploration and Exploitation for Santiago de Atalayas I with an effective
         date of July 1, 1982, between Triton Colombia, Inc., and Empresa Colombiana
         De Petroleos. (9)
 10.27   Contract for Exploration and Exploitation for Tauramena with an effective date of July
         4, 1988, between Triton Colombia, Inc., and Empresa Colombiana De Petroleos. (10)
 10.28   Summary of Assignment legalized by Public Instrument No. 1255 dated September 15,
         1987 (Assignment is in Spanish language). (10)
 10.29   Summary of Assignment legalized by Public Instrument No. 1602 dated June 11, 1990
         (Assignment is in Spanish language). (10)
 10.30   Summary of Assignment legalized by Public Instrument No. 2586 dated September 9,
         1992 (Assignment is in Spanish language). (10)
 10.31   401(K) Savings Plan. (5)
 10.32   Contract between Malaysia-Thailand and Joint Authority and Petronas Carigali
         SDN.BHD. and Triton Oil Company of Thailand relating to Exploration and Production
         of  Petroleum for Malaysia-Thailand Joint Development Area Block A-18.(15)
 10.33   Triton Crude Purchase Agreement between Triton Colombia, Inc. and Oil Co., LTD.
         dated May 25, 1995. (16)
 10.34   Credit Agreement among Triton Colombia, Inc., Triton Energy Corporation,
         NationsBank, N.A. (Carolinas) and Export-Import Bank of the United States. (12)
 10.35   Amendment No. 1 to Credit Agreement among Triton Colombia, Inc., Triton Energy
         Corporation, NationsBank, N.A. (Carolinas) and Export-Import Bank of the United
         States. (12)
 10.36   Amendment No. 2 to Credit Agreement among Triton Colombia, Inc., Triton Energy
         Corporation, NationsBank, N.A. (Carolinas) and Export-Import Bank of the United
         States. (13)
 10.37   Amendment No. 3 to Credit Agreement among Triton Colombia, Inc., Triton Energy
         Limited, NationsBank, N.A. (Carolinas) and Export-Import Bank of the United
         States. (24)
 10.38   Agreement and Plan of Merger among Triton Energy Corporation, Triton Energy
         Limited and TEL Merger Corp. (12)
 10.39   Credit Agreement among Triton Energy Limited and Triton Energy Corporation, as
         Borrowers, and NationsBank of Texas, N.A., Barclays Bank PLC, Meespierson N.V.,
         The Chase Manhattan Bank and Societe Generale, Southwest Agency dated
         August 30, 1996. (17)
 10.40   Form of Indemnity Agreement entered into with each director and officer of the
         Company. (26)
 10.41   Restated Employment Agreement between John Tatum and the Company. (20)
 10.42   Description of Performance Goals for Executive Bonus Compensation. (20)
 10.43   Stock Purchase Agreement dated September 2, 1997 between the Strategic
         Transaction Company and Triton International Petroleum, Inc. (6)
 10.44   Fourth Amendment to Stock Purchase Agreement dated February 2, 1998 between
         The Strategic Transaction Company and Triton International Petroleum, Inc. (6)
 10.45   Supplemental Indenture dated April 17, 1997 among Triton Energy Corporation, Triton
         Energy Limited and The Chase Manhattan Bank (formerly known as Chemical Bank)
         amending Amended and Restated Indenture dated as of March 25, 1996 relating to
         the Senior Subordinated Discount Notes due 1997. (21)
 10.46   Supplemental Indenture dated April 17, 1997 among Triton Energy Corporation, Triton
         Energy Limited and United States Trust Company of New York amending Amended
         and Restated Senior Subordinated Indenture dated as of March 25, 1996 relating to the
         9 3/4% Senior Subordinated Discount Notes due 2000. (21)
 10.47   Senior Indenture dated April 10, 1997 among Triton Energy Corporation, Triton
         Energy Limited and The Chase Manhattan Bank. (21)
 10.48   First Supplemental Indenture dated April 10, 1997 among Triton Energy Corporation,
         Triton Energy Limited and The Chase Manhattan Bank amending Senior Indenture
         dated as of April 10, 1997 relating to the 8 3/4% Senior Notes due 2002. (21)
 10.49   Second Supplemental Indenture dated April 10, 1997 among Triton Energy Corporation,
         Triton Energy Limited and The Chase Manhattan Bank amending Senior Indenture
         dated as of April 10, 1997 relating to the 9 1/4% Senior Notes due 2005. (21)
 10.50   First Amendment to Credit Agreement dated as of April 4, 1997 among Triton Energy
         Limited and Triton Energy Corporation, as Borrowers, and NationsBank of Texas, N.A.,
         Barclays Bank PLC, Meespierson N.V., The Chase Manhattan Bank and Societe
         Generale, Southwest Agency. (21)
 10.51   1997 Share Compensation Plan. (21)
 10.52   First Amendment to 1997 Share Compensation Plan. (6)
 10.53   First Amendment to Amended and Restated Retirement Plan for Directors. (6)
 10.54   First Amendment to Second Amended and Restated 1992 Stock Option Plan. (21)
 10.55   Second Amendment to Second Amended and Restated 1992 Stock Option Plan. (6)
 10.56   Agreement to Release Triton Energy Corporation and Second Amendment to Credit
         Agreement dated as of July 21, 1997 among Triton Energy Limited and Triton Energy
         Corporation, as Borrowers, and NationsBank of Texas, N.A., Barclays Bank PLC,
         MeesPierson N.V., The Chase Manhattan Bank and Societe Generale, Southwest
         Agency. (22)
 10.57   Amended and Restated Indenture dated July 25, 1997 between Triton Energy Limited
         and The Chase Manhattan Bank. (22)
 10.58   Amended and Restated First Supplemental Indenture dated July 25, 1997 between Triton
         Energy Limited and The Chase Manhattan Bank relating to the 8 3/4% Senior Notes
         due 2002. (22)
 10.59   Amended and Restated Second Supplemental Indenture dated July 25, 1997 between
         Triton Energy Limited and The Chase Manhattan Bank relating to the 9 1/4% Senior
         Notes due 2005. (22)
 10.60   Third Amendment to Credit Agreement dated as of September 30, 1997 among Triton
         Energy Limited, NationsBank of Texas, N.A., Barclays Bank PLC, MeesPierson N.V.,
         The Chase Manhattan Bank and Societe Generale, Southwest Agency. (23)
 10.61   Amendment to Amended and Restated Retirement Income Plan dated
         December 31, 1996. (24)
 10.62   Amendment to 401(K) Savings Plan dated December 31, 1996. (24)
 10.63   Share Purchase Agreement dated July 17, 1998 among Triton Energy Limited, Triton
         Asia Holdings, Inc., Atlantic Richfield Company and ARCO JDA Limited. (25)
 10.64   Shareholders Agreement dated August 3, 1998 among Triton Energy Limited, Triton
         Asia Holdings, Inc., Atlantic Richfield Company, and ARCO JDA Limited. (25)
 10.65   Amendment to the Triton Exploration Services, Inc. Retirement Income Plan dated
         August 1, 1998. (25)
 10.66   Amendment to the Triton Exploration Services, Inc. 401(k) Savings Plan dated
         August 1, 1998. (25)
 10.67   Stock Purchase Agreement dated as of August 31, 1998 between Triton Energy
         Limited and HM4 Triton, L.P. (26)
 10.68   Shareholders Agreement dated as of September 30, 1998 between Triton Energy
         Limited and HM4 Triton, L.P. (26)
 10.69   Financial Advisory Agreement dated as of September 30, 1998 between Triton Energy
         Limited and Hicks, Muse & Co. Partners, L.P. (26)
 10.70   Monitoring and Oversight Agreement dated as of September 30, 1998 between Triton
         Energy Limited and Hicks, Muse & Co. Partners, L.P. (26)
 10.71   Amended and Restated Employment Agreement among Triton Energy Limited, Triton
         Exploration Services, Inc. and Robert B. Holland, III. (26)
 10.72   Form of Amended and restated Employment Agreement among Triton Energy Limited,
         Triton Exploration Services, Inc. and each of Peter Rugg and Al E. Turner. (26)
 10.73   Second Amendment to 1997 Share Compensation Plan. (26)
 10.74   Severance Agreement dated as of July 15, 1998 between Thomas G. Finck and Triton
         Energy Limited. (26)
  12.1   Computation of Ratio of Earnings to Fixed Charges. (26)
  12.2   Computation of Ratio of Earnings to Combined Fixed Charges and Preference
         Dividends. (26)
  27.1   Financial Data Schedule.(26)
  99.1   Heads of Agreement for the Supply of Gas from the Block A-18 of the Malaysia-
         Thailand Joint Development Area. (24)
  99.2   Rio Chitamena Association Contract. (19)
  99.3   Rio Chitamena Purchase and Sale Agreement. (19)
  99.4   Integral Plan - Cusiana Oil Structure. (19)
  99.5   Letter Agreements with co-investor in Colombia. (19)
  99.6   Colombia Pipeline Memorandum of Understanding. (19)
  99.7   Amended and Restated Oleoducto Central S.A. Agreement dated as of March 31,
         1995. (18)

_______________________________

  (1)  Previously filed as an exhibit to the Company's Registration Statement on Form S-3
       (No 333-08005) and incorporated herein by reference.
  (2)  Previously filed as an exhibit to the Company's Registration Statement on Form 8-A
       dated March 25, 1996 and incorporated herein by reference.
  (3)  Previously filed as an exhibit to the Company's and Triton Energy Corporation's
       Registration Statement on Form S-4 (No. 333-923) and incorporated herein
       by reference.
  (4)  Previously filed as an exhibit to the Company's Registration Statement on Form 8-A/A
       (Amendment No. 1) dated August 14, 1996 and incorporated herein by reference.
  (5)  Previously filed as an exhibit to Triton Energy Corporation's Quarterly Report on Form
       10-Q for the quarter ended November 30, 1993 and incorporated by reference herein.
  (6)  Previously filed as an exhibit to the Company's Annual Report on Form 10-K for
       the year ended December 31, 1997 and incorporated herein by reference.
  (7)  Previously filed as an exhibit to Triton Energy Corporation's Annual Report on Form
       10-K for the fiscal year ended May 31, 1992 and incorporated herein by reference.
  (8)  Previously filed as an exhibit to Triton Energy Corporation's Annual Report on Form
       10-K for the fiscal year ended May 31, 1989 and incorporated by reference herein.
  (9)  Previously filed as an exhibit to Triton Energy Corporation's Annual Report on Form
       10-K for the fiscal year ended May 31, 1990 and incorporated herein by reference.
 (10)  Previously filed as an exhibit to Triton Energy Corporation's Annual Report on Form
       10-K for the fiscal year ended May 31, 1993 and incorporated by reference herein.
 (11)  Previously filed as an exhibit to Triton Energy Corporation's Quarterly Report on Form
       10-Q for the quarter ended November 30, 1988 and incorporated herein by reference.
 (12)  Previously filed as an exhibit to Triton Energy Corporation's Annual Report on Form
       10-K for the fiscal year ended December 31, 1995 and incorporated herein by
       reference.
 (13)  Previously filed as an exhibit to the Company's Quarterly Report on Form 10-Q for the
       quarter ended March 31, 1996 and incorporated herein by reference.
 (14)  Previously filed as an exhibit to Triton Energy Corporation's Annual Report on Form
       10-K for the fiscal year ended May 31, 1991 and incorporated herein by reference.
 (15)  Previously filed as an exhibit to Triton Energy Corporation's current report on Form
       8-K dated April 21, 1994 and incorporated by reference herein.
 (16)  Previously filed as an exhibit to Triton Energy Corporation's Current Report on Form
       8-K dated May 26, 1995 and incorporated herein by reference.
 (17)  Previously filed as an exhibit to the Company's Quarterly Report on Form 10-Q for the
       quarter ended September 30, 1996 and incorporated herein by reference.
 (18)  Previously filed as an exhibit to Triton Energy Corporation's Quarterly Report on Form
       10-Q for the quarter ended June 30, 1995 and incorporated herein by reference.
 (19)  Previously filed as an exhibit to Triton Energy Corporation's current report on Form
       8-K/A dated July 15, 1994 and incorporated by reference herein.
 (20)  Previously filed as an exhibit to Triton Energy Limited's Annual Report on Form 10-K
       For the fiscal year ended December 31, 1996 and incorporated herein by reference.
 (21)  Previously filed as an exhibit to the Company's Quarterly Report on Form 10-Q for the
       quarter ended March 31, 1997 and incorporated herein by reference.
 (22)  Previously filed as an exhibit to the Company's Quarterly Report on Form 10-Q for the
       quarter ended June 30, 1997 and incorporated herein by reference.
 (23)  Previously filed as an exhibit to the Company's Quarterly Report on Form 10-Q for the
       quarter ended September 30, 1997 and incorporated herein by reference.
 (24)  Previously filed as an exhibit to the Company's Quarterly Report on Form 10-Q for
       the quarter ended March 31, 1998 and incorporated herein by reference.
 (25)  Previously filed as an exhibit to the Company's Quarterly Report on Form 10-Q for
       the quarter ended June 30, 1998 and incorporated herein by reference.
 (26)  Filed herewith.





(b)     Reports  on  Form  8-K


On August 17, 1998, the Company filed a Current Report on Form 8-K reporting the
sale  to  ARCO  of  one-half  of  the shares of the subsidiary through which the
Company  owned  its  50%  share  of  Block  A-18.

On  September  9, 1998, the Company filed a Current Report on Form 8-K reporting
the  execution  of  the  Stock  Purchase  Agreement  with  HM4  Triton.



                                   SIGNATURES
Pursuant  to  the  requirements  of  the  Securities  Exchange  Act of 1934, the
registrant  has  duly  caused  this  report  to  be  signed on its behalf by the
undersigned  thereunto  duly  authorized.


                                       TRITON  ENERGY  LIMITED



                                       By: /s/ Peter Rugg
                                           ----------------------
                                           Peter Rugg
                                           Senior Vice President and Chief
                                              Financial Officer


Date:   November  13,  1998