TRITON ENERGY LTD
S-3/A, 1999-08-13
CRUDE PETROLEUM & NATURAL GAS
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AS  FILED  WITH  THE  SECURITIES  AND  EXCHANGE  COMMISSION  ON AUGUST 12, 1999.
REGISTRATION  NO.  333-81029

                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549
                            ------------------------
                          PRE-EFFECTIVE AMENDMENT NO. 1
                                       TO
                                    FORM S-3
                             REGISTRATION STATEMENT
                        UNDER THE SECURITIES ACT OF 1933
                            ------------------------
                              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 organization)               Identification No.)

                         CALEDONIAN HOUSE
                         MARY STREET
                         P. O. BOX 1043
                         GEORGE TOWN
                         GRAND CAYMAN, CAYMAN ISLANDS
                         (345) 949-0500
(Address, including zip code, and telephone number, including area code,
              of Registrant's principal executive offices)
                      ------------------------
                      THOMAS J. MURPHY
                      TRITON ENERGY CORPORATION
                      6688 NORTH CENTRAL EXPRESSWAY, SUITE 1400
                      DALLAS, TEXAS  75206
                      (214) 691-5200

   (Name, address, including zip code, and telephone number, including area
                       code, of agent for service)
                        ------------------------
                                Copies to:

                         VINCENT PAGANO, JR., ESQ.
                         SIMPSON THACHER & BARTLETT
                         425 LEXINGTON AVENUE
                         NEW YORK, NEW YORK 10017-3909
                             ------------------------
APPROXIMATE  DATE  OF  COMMENCEMENT  OF  PROPOSED  SALE TO THE PUBLIC: From time
to time after the effective date of this registration  statement.
     If the only securities being registered on this Form are being offered
pursuant to dividend or interest reinvestment plans,  please  check  the
following  box:  [  ]
     If  any  of the securities being registered on this Form are to be offered
on a delayed or continuous basis pursuant to  Rule 415 under the Securities Act
of 1933, other than securities offered only in connection with dividend or
interest reinvestment  plans,  please  check  the  following  box:  [X]
     If this Form is filed to register additional securities for an offering
pursuant to Rule 462(b) under the Securities Act,  please  check  the following
box and list the Securities Act registration statement number of the earlier
effective registration  statement  for  the  same  offering:  [  ]
     If  this  Form  is  a  post-effective  amendment  filed  pursuant to Rule
462(c) under the Securities Act, check the following  box  and list the
Securities Act registration statement number of the earlier effective
registration statement for  the  same  offering:  [  ]
     If  delivery  of  the  prospectus  is expected to be made pursuant to Rule
434, please check the following box:  [ ]






     THE  REGISTRANT  HEREBY  AMENDS THIS REGISTRATION STATEMENT ON SUCH DATE OR
DATES AS MAY BE NECESSARY TO DELAY ITS EFFECTIVE DATE UNTIL THE REGISTRANT SHALL
FILE  A  FURTHER  AMENDMENT  WHICH  SPECIFICALLY  STATES  THAT THIS REGISTRATION
STATEMENT  SHALL  THEREAFTER BECOME EFFECTIVE IN ACCORDANCE WITH SECTION 8(A) OF
THE  SECURITIES ACT, OR UNTIL THIS REGISTRATION STATEMENT SHALL BECOME EFFECTIVE
ON  SUCH DATE AS THE SECURITIES AND EXCHANGE COMMISSION, ACTING PURSUANT TO SAID
SECTION  8(A),  MAY  DETERMINE.



THE  INFORMATION  IN  THIS PROSPECTUS IS NOT COMPLETE AND MAY BE CHANGED. WE MAY
NOT  SELL  THESE  SECURITIES  UNTIL  THE  REGISTRATION  STATEMENT FILED WITH THE
SECURITIES AND EXCHANGE COMMISSION IS EFFECTIVE. THIS PROSPECTUS IS NOT AN OFFER
TO  SELL  THESE  SECURITIES  AND  WE  ARE  NOT  SOLICITING AN OFFER TO BUY THESE
SECURITIES  IN  ANY  STATE  WHERE  THE  OFFER  OR  SALE  IS  NOT  PERMITTED.

                              Subject to completion
                  Preliminary Prospectus dated August   , 1999

Prospectus

                                  [Triton Logo]

                              TRITON ENERGY LIMITED

                                 DEBT SECURITIES
                                PREFERENCE SHARES
                                DEPOSITARY SHARES
                                 ORDINARY SHARES
                                    WARRANTS

                            ------------------------

     By  this  prospectus,  we may offer from time to time up to $250,000,000 of
our  debt  securities, preference shares, depositary shares, ordinary shares and
warrants.  When  we  offer  securities,  we  will  provide you with a prospectus
supplement  describing  the terms of the specific issue of securities, including
the  offering  price  of  the  securities.

     You  should  read this prospectus and the prospectus supplement relating to
the  specific  issue  of  securities  carefully  before  you  invest.

     SEE  "RISK  FACTORS"  BEGINNING  ON  PAGE  ___  OF  THIS  PROSPECTUS  FOR A
DISCUSSION  OF  CERTAIN  FACTORS  THAT YOU SHOULD CONSIDER BEFORE PURCHASING OUR
SECURITIES.

                            ------------------------

     NEITHER  THE  SECURITIES  AND  EXCHANGE COMMISSION NOR ANY STATE SECURITIES
COMMISSION  HAS  APPROVED  OR DISAPPROVED OF THESE SECURITIES OR DETERMINED THAT
THIS  PROSPECTUS  IS  TRUTHFUL OR COMPLETE. IT IS ILLEGAL FOR ANY PERSON TO TELL
YOU  OTHERWISE.

                            ------------------------

This  prospectus  is  dated                ,  1999



<PAGE>





                                TABLE OF CONTENTS



<TABLE>
<CAPTION>

                                                             PAGE
                                                             ----
<S>                                                          <C>
About this Prospectus
Disclosure Regarding Forward-Looking Information
Triton Energy Limited
Enforceability of Civil Liabilities against Foreign Persons
Risk Factors
Use of Proceeds
Ratios of Earnings to Fixed Charges and Earnings to
   Combined Fixed Charges and Preference Dividends
The Securities
Description of Debt Securities
Description of Share Capital
Description of Warrants
Plan of Distribution
Where You Can Find More Information About Triton
Incorporation of Information We File with the SEC
Experts
Legal Opinions

</TABLE>

<PAGE>
                              ABOUT THIS PROSPECTUS


     This  prospectus  is  part of a registration statement (No. 333-81029) (the
"registration  statement")  that  we  filed  with  the  Securities  and Exchange
Commission  utilizing  a  "shelf"  registration  process.  Under  this  shelf
registration  process,  we may offer from time to time up to $250,000,000 of any
of  the  following  securities,  either separately or in units: debt securities,
preference  shares,  depositary  shares,  ordinary  shares  and  warrants.  This
prospectus  provides  you  with  a  general description of the securities we may
offer.  Each  time  we  offer  securities, we will provide you with a prospectus
supplement  that  will  describe  the  specific amounts, prices and terms of the
securities  being  offered. The prospectus supplement may also add to, update or
change  information  contained  in  this  prospectus.

                 DISCLOSURE REGARDING FORWARD-LOOKING STATEMENTS

     Some statements in this prospectus, the accompanying prospectus supplement,
and  the  documents we refer you to, as well as written and oral statements made
or  incorporated by reference from time to time by us and our representatives in
reports,  filings with the SEC, press releases, conferences or otherwise, may be
deemed  to  be "forward-looking statements" within the meaning of Section 27A of
the  Securities  Act of 1933, Section 21E of the Securities Exchange Act of 1934
and  the  Private  Securities Litigation Reform Act of 1995. This information is
subject  to  the  "Safe  Harbor"  provisions  of those statutes. Forward-looking
statements  include  statements  concerning  Triton's  and  management's  plans,
objectives,  goals,  strategies  and  future  operations and performance and the
assumptions  underlying  these  forward-looking  statements.  We  use  the words
"anticipates,"  "estimates,"  "expects,"  "believes," "intends," "plans," "may,"
"will,"  "should,"  and  similar  expressions  to  identify  forward-looking
statements.  These  statements  include  information  regarding:


   - drilling schedules;

   - expected or planned production capacity;

   - future production of the Cusiana and Cupiagua fields in Colombia;

   - the  negotiation of a gas-sales contract, the completion of development and
     the  commencement  of  production  in  Malaysia-Thailand;

   - our capital budget, future capital requirements and our ability to meet our
     future capital needs;

   - future general and administrative expense and the portion to be
     capitalized;

   - future interest expense and the portion to be capitalized;

   - our ability to realize our deferred tax asset;

   - the level of future expenditures for environmental costs;

   - the outcome of regulatory and litigation matters;

   - the impact of Year 2000 issues;

   - the estimated fair value of derivative instruments, including the equity
     swap; and

   - proven oil and gas reserves and discounted future net cash flows
     therefrom.


     We  base  these  statements  on  our current expectations. These statements
involve  a  number  of risks and uncertainties, including those described in the
context  of  the forward-looking statements, as well as those presented in "Risk
Factors"  below.  Actual  results  and developments could differ materially from
those  expressed  in  or  implied  by  these statements. We are not obligated to
update  or  revise  any  forward-looking  statements, whether as a result of new
information, future events or otherwise. For additional information with respect
to these factors, see our Annual Report on Form 10-K for the year ended December
31,  1998.  See  "Where  You  Can  Find  More  Information  about  Triton"  and
"Incorporation  of  Information  We  File  with  the  SEC."

                              TRITON ENERGY LIMITED

     Triton  Energy  Limited  is  an  international  oil and gas exploration and
production  company.  Our  principal  properties,  operations,  and  oil and gas
reserves are located in Colombia and Malaysia-Thailand. We are exploring for oil
and  gas  in  these  areas, as well as in southern Europe, Africa and the Middle
East.

     Our principal executive office is located at Caledonian House, Mary Street,
P.O.  Box  1043,  George  Town,  Grand  Cayman, Cayman Islands and our telephone
number there is (345) 949-0050. You can also obtain information regarding Triton
by  contacting  our  Investor Relations Department c/o Triton Energy, 6688 North
Central  Expressway,  Suite  1400,  Dallas,  Texas 75206, telephone number (214)
691-5200, or by visiting our web site, www.tritonenergy.com. You can also obtain
information  about  us  from  the Securities and Exchange Commission and the New
York  Stock Exchange. See "Where You Can Find More Information about Triton" and
"Incorporation  of  Information  We  File  with  the  SEC."

           ENFORCEABILITY OF CIVIL LIABILITIES AGAINST FOREIGN PERSONS

     Triton  is  a Cayman Islands company, certain of our officers and directors
may  be  residents  of  various  jurisdictions outside the United States and our
Cayman Islands legal counsel, W.S. Walker & Company, is a resident of the Cayman
Islands.  All  or  a  substantial  portion of our assets and the assets of these
persons  may  be  located  outside  the  United  States.  As a result, it may be
difficult  for  investors  to effect service of process within the United States
upon  these  persons  or  to  enforce in United States courts judgments obtained
against these persons that are predicated upon the civil liability provisions of
the  Securities  Act  of  1933.  We  have  agreed to be served with process with
respect to actions based on offers and sales of securities made pursuant to this
prospectus  and  the accompanying prospectus supplement in the United States. To
bring a claim against us, you may serve Triton's Corporate Secretary, c/o Triton
Energy  Corporation,  6688  North  Central Expressway, Suite 1400, Dallas, Texas
75206-9926,  its  United  States  agent  appointed  for  that  purpose.


     W.  S.  Walker  & Company, our Cayman Islands legal counsel, has advised us
that  there  is  doubt  as  to  whether  Cayman Islands courts would enforce (a)
judgments  of  United  States  courts  obtained  in  actions against us or other
persons  that  are  predicated  upon  the  civil  liability  provisions  of  the
Securities  Act  of  1933 or (b) in original actions brought against us or other
persons  predicated  upon the Securities Act of 1933. There is no treaty between
the United States and the Cayman Islands providing for enforcement of judgments,
and there are grounds upon which Cayman Islands courts may not enforce judgments
of United States courts. In general, Cayman Islands courts would not enforce any
remedies  if  they are deemed to be penalties, fines, taxes or similar remedies.

                                  RISK FACTORS

     In deciding whether to invest in Triton securities, you should consider the
following  risks. You should consider carefully these risks along with the other
information  in  this  document and the documents to which we have referred you.
See  "Where  You  Can Find More Information about Triton"  and "Incorporation of
Information  We  File  with  the  SEC"  below.

DRILLING OIL AND GAS WELLS COULD INVOLVE BLOWOUTS, HURRICANES, ENVIRONMENTAL AND
OTHER  OPERATING  HAZARDS

     The  nature  of the oil and gas business involves operating hazards such as
well  blowouts,  explosions,  uncontrollable  flows  of oil, gas or well fluids,
pollution,  earthquakes,  formations with abnormal pressures, labor disruptions,
fires,  releases  of toxic gas and other environmental hazards and risks. Any of
these  operating  hazards  could  result  in  substantial  losses.


     In  addition, we may be liable for environmental damages caused by previous
owners  of properties we have purchased. As a result, we could incur substantial
liabilities  to  third  parties  or  governmental entities. The payment of these
amounts  could  reduce  or  eliminate  the  funds  available  for  exploration,
development  or  acquisitions.

     In  accordance  with  customary  industry  practices, we maintain insurance
against some, but not all, of these risks and losses. If an event occurs that is
not  fully  covered by insurance, it could result in a financial loss and reduce
our  resources  for  capital  expenditures.  In addition, we cannot be sure that
insurance  will  continue to be available, or that insurance will continue to be
available  at  premium  levels  that  justify  its  purchase.

OIL  PRICES  SIGNIFICANTLY  IMPACT  OUR  OPERATING  RESULTS

     Currently, we derive substantially all of our revenues from the sale of oil
produced  in Colombia. In general, we sell our oil production at prices based on
the  market  price of oil on the date of sale, although from time to time we may
sell  production  in advance at contractually fixed prices and we may enter into
hedging  transactions.  The  market price for oil historically has been volatile
and  has  recently  decreased  significantly. For example, during the three year
period ended December 31, 1998, WTI oil prices fluctuated between a low price of
$10.72  per  barrel  and a high price of $26.62 per barrel. Further decreases in
oil  and  natural  gas  prices  will  adversely  affect our revenues, results of
operations,  and  cash  flows. If the industry experiences significant prolonged
future  price  decreases, we may be unable to generate sufficient cash flow from
operations  to  make  planned  capital  expenditures.

IF  WE  DETERMINE  THAT  EXPLORATION  RESULTS  ON  ONE OR MORE PROPERTIES DO NOT
JUSTIFY  CONTINUING  TO  CARRY  THEIR  CAPITALIZED  COSTS, WE MAY WRITE DOWN THE
PROPERTIES'  CARRYING  VALUE AND INCUR A CHARGE TO EARNINGS AND THEREBY REDUCING
SHAREHOLDERS'  EQUITY

     We  follow  the  full  cost  method  of  accounting  for  exploration  and
development of oil and gas reserves. Under this method of accounting, all of our
costs  related  to  acquisition,  holding and initial exploration of licenses in
countries where we do not have any proved reserves are initially capitalized. We
then  periodically  make  assessments  of  these  licenses  for  impairment on a
country-by-country  basis.  Based on our evaluation of drilling results, seismic
data  and  other  information  we  deem relevant, we may write down the carrying
value  of  the  oil  and gas licenses in that country. A writedown constitutes a
charge to earnings that does not impact our cash flow from operating activities,
but  it does reduce our shareholders' equity. For example, in the second quarter
of  1998,  we  recorded a $77.3 million ($72.6 million, net of tax) writedown of
unevaluated oil and gas properties relating to our operations in China, Ecuador,
Guatemala  and  other  countries, and a corresponding reduction in shareholders'
equity.  Due  to the unpredictable nature of exploration drilling activities, we
cannot  predict  the  amount  and  timing  of  impairment  write-downs.

     You  can  find  information  concerning  our  assets  at December 31, 1998,
including  capitalized  costs by geographic area, in note 22 of the notes to our
Consolidated  Financial  Statements,  which are included in our Annual Report on
Form  10-K  for  the  year  ended  December  31,  1998.

IF  OIL  AND  GAS  PRICES DECREASE BELOW SPECIFIED LEVELS, WE MAY WRITE DOWN THE
CARRYING  VALUES  OF  PROPERTIES  WITH  PROVED  RESERVES  AND  INCUR A CHARGE TO
EARNINGS  AND  A  REDUCTION  IN  SHAREHOLDERS'  EQUITY

     We  may  also  write  down  the  carrying value of properties where we have
proved  reserves as a result of the "full cost ceiling limitation" prescribed by
the SEC. Under the full cost ceiling limitation, we must write down the carrying
value  of  properties in any country where we have proved reserves to the extent
that  the  net capitalized costs of the properties, less related deferred income
taxes,  exceeds  the  amount  given  by  the  following  formula:

(1)  the  estimated  future net revenues from the properties, discounted at 10%;
     plus

(2)  unevaluated  costs  not  being  amortized;  plus

(3)  the  lower  of  cost  or  estimated fair value of unproved properties being
     amortized;  minus

(4)  income  tax  effects related to differences between the financial statement
     basis  and  tax  basis  of  oil  and  gas  properties.

     The  discounted future net revenues from the properties is determined based
on  the  selling  price of oil or gas as of the end of the accounting period, or
when  results  of  operations  for that period are determined. For example, as a
result  of  a decline in oil prices in 1998, we wrote down the carrying value of
our  evaluated  oil  and  gas  properties  in  Colombia by $105.4 million ($68.5
million,  net  of tax)  in June 1998, and $135.6 million ($115.9 million, net of
tax)  in December 1998, because of the full cost ceiling limitation. However, we
did  not  make  any  adjustments  to our reserves in Colombia as a result of the
decline  in prices. To calculate the SEC full cost ceiling limitation, we used a
net  price  of  approximately  $13  per  barrel as of June 30, 1998, and $11 per
barrel  as of December 31, 1998. We may be required to take an additional
writedown if  oil  prices  fall  below  the  December 31, 1998, level at later
quarter end dates.






SUBSTANTIALLY  ALL OF OUR OPERATIONS ARE IN FOREIGN COUNTRIES AND WE ARE SUBJECT
TO  POLITICAL,  ECONOMIC  AND  OTHER  UNCERTAINTIES

     We  conduct substantially all of our exploration and production operations,
and  derive  substantially  all  of  our  revenues,  outside  the United States,
including  Colombia,  Malaysia-Thailand,  Equatorial  Guinea,  Greece, Italy and
Oman.  Operations  in  foreign countries, particularly the oil and gas business,
are  subject  to  political,  economic  and  other uncertainties, which include:

   - the  risk  of  expropriation,  nationalization,  war,  revolution,  border
     disputes,  renegotiation  or  modification of existing contracts, import,
     export and  transportation  regulations  and  tariffs;

   - taxation  policies, including royalty and tax increases and retroactive tax
     claims;

   - exchange  controls,  currency  fluctuations and other uncertainties arising
     out of foreign government sovereignty over our international operations;

   - laws  and  policies  of the United States affecting foreign trade, taxation
      and  investment;  and

   - the  possibilities  of  being  subjected  to  the exclusive jurisdiction of
     foreign  courts  in  connection with legal disputes and the inability to
     subject foreign persons to the jurisdiction of courts in the United States.

     Countries in Latin America and Africa, as well as other regions, have had a
history  of political and economic instability. This instability could result in
new  governments  or  the  adoption  of new policies that might assume a hostile
attitude  toward  foreign  investment.  In  an extreme case, such a change could
result  in  the  termination  of  our  contract  rights and expropriation of our
assets.

GUERRILLA  ACTIVITY  IN  COLOMBIA  COULD  DISRUPT  OUR  OPERATIONS AND CASH FLOW

     Our Colombia operation is responsible for substantially all of our revenues
and  operating  cash flow. From time to time, guerrilla activity in Colombia has
disrupted  the  operation  of  oil and gas projects causing delays and increased
costs.  The  guerrilla  activity  has increased over the last few years, causing
delays  in  the  development  of our fields in Colombia. Their activity has from
time  to time slowed our ability to put workers in the field, and they have made
attempts to disrupt the flow of production through the pipeline. BP, as operator
of  the fields, and we and the Colombian government have taken steps to maintain
security  and  favorable  relations  with the local population. These steps have
included  the  hiring  of  security  to  patrol  our facilities, and programs to
provide local communities with health and educational assistance. We expect that
we  will be required to continue these steps throughout the term of our interest
there.  We  cannot assure you that these attempts to reduce or prevent guerrilla
activity  will  be  successful  or  that  guerrilla  activity  will  not disrupt
operations  in  the  future.

COLOMBIA  COULD BE DENIED CERTIFICATION AS A COUNTRY MAKING PROGRESS IN STEMMING
THE  PRODUCTION  AND TRANSIT OF ILLEGAL DRUGS, WHICH COULD HEIGHTEN THE RISKS OF
OUR  OPERATIONS  THERE

     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. Although the President has granted Colombia certification
for  1999,  Colombia  was  denied  certification  in the last two years and only
received a national interest waiver for one of those years. We cannot assure you
that,  in the future, Colombia will receive certification or a national interest
waiver.  If  the  United  States  does  not  grant  Colombia certification, or a
national  interest  waiver,  in  the  future, several adverse consequences could
result,  including  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 their 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  our  operations  there.


WE  DO  NOT HAVE A DEFINITIVE AGREEMENT FOR THE SALE OF GAS FROM OUR PROPERTY IN
MALAYSIA-THAILAND





     As  of  the  date  of  this  prospectus,  we  have  not signed a definitive
agreement  for  the  sale  of  our natural gas production from Block A-18 of the
Malaysia-Thailand  Joint Development Area. In April 1998, we and our partners in
the  block  executed  a "heads of agreement" with the buyers that contemplated a
definitive  gas-sales  agreement  for the sale of natural gas from the block. In
1999,  we  and the representatives of each of the other parties, both buyers and
sellers,  agreed  to  present  an  agreed  form  of  gas-sales  agreement to our
respective boards of directors, and to the governments of Malaysia and Thailand,
for  approval.  We  cannot  assure  you  that  the agreement will be approved or
executed,  or  if  it  is  executed,  when  it  will  occur.

HICKS  MUSE  MAY  HAVE  CONFLICTS  OF  INTEREST  WITH OTHER SHAREHOLDERS AND THE
PRESENCE  OF  HICKS  MUSE  MAY  DISCOURAGE THIRD PARTIES FROM SEEKING CONTROL OF
TRITON

     As  of  the  date  of  this prospectus, HM4 Triton, L.P. owns approximately
__________% of our outstanding 8% Convertible Preference Shares and ________% of
our  outstanding ordinary shares. This represents approximately 37% of the total
voting power of our shares. HM4 Triton, L.P. is a limited partnership controlled
by  Hicks,  Muse,  Tate  &  Furst  Incorporated,  a  private  investment  firm
specializing  in  acquisitions,  recapitalizations and other principal investing
activities.

     We  have a shareholders agreement with HM4 Triton, L.P. that requires us to
obtain  its  approval for specified fundamental corporate actions we might take,
including  the  following:

   - entering into a merger or similar business combination transaction,

   - selling assets comprising more than 50% of our market value,

   - paying dividends on our ordinary shares, and

   - incurring debt above certain levels.

     The  shareholders  agreement  also  gives  HM4  Triton,  L.P.  the right to
nominate four out of the ten members of our board of directors. HM4 Triton, L.P.
has exercised this right and among its designees are Thomas O. Hicks and Jack D.
Furst,  who  currently  are  serving  on our board of directors and who are also
principals  and  executive  officers  of Hicks, Muse, Tate & Furst Incorporated.

     As  a  result,  HM4 Triton, L.P. and Hicks, Muse, Tate & Furst Incorporated
have  significant  influence  over  our  business,  policies  and  affairs.  The
interests  of  HM4  Triton,  L.P. and Hicks, Muse, Tate & Furst Incorporated may
differ  from  those  of  our other shareholders, and the influence they have may
have  the  effect  of  discouraging selected transactions involving an actual or
potential  change  of  control  of  Triton.

     For more information regarding HM4 Triton. L.P.'s rights and influence, see
"Description  of  Share  Capital  -  Preference  Shares - Outstanding Preference
Shares"  below.






ANTI-TAKEOVER  PROVISIONS

     Our  articles  of association contain provisions that may make it difficult
for  a  third  party  to  acquire,  or  discourage a third party from seeking to
acquire,  a  majority  of  the  outstanding  ordinary  shares.  We  can  issue
approximately  eight million preference shares with rights and preferences to be
determined  by  the  board  of  directors  without any shareholder approval. Our
directors  are  divided  into  three  classes and only one class is elected each
year.  These  factors  will  make  it difficult for a third party to replace our
entire  board  of  directors. We also have a shareholder rights plan which gives
our shareholders the right to purchase ordinary shares for one-half of their per
share market value if a third party acquires beneficial ownership of 15% or more
of the ordinary shares, although HM4 Triton, L.P.'s ability to acquire shares is
unlimited unless its ownership decreases below certain levels. This would result
in significant economic dilution of any third party's investment. Finally, under
Cayman  Islands  law,  a business combination generally requires the affirmative
vote  of  two-thirds  of  the  shareholders  voting.





                                 USE OF PROCEEDS

     Unless  otherwise specified in the applicable prospectus supplement or term
sheet,  we  intend  to  use  the  net  proceeds  we receive from the sale of the
securities offered by this prospectus and the accompanying prospectus supplement
or  term  sheet  for  general corporate purposes. General corporate purposes may
include  the  repayment  of  debt, investments in or extensions of credit to our
subsidiaries,  or  the financing of possible acquisitions. We may invest the net
proceeds  temporarily  or apply them to repay short-term debt until we are ready
to  use  them  for  their  stated  purpose.

     We  will  disclose  in  the  applicable prospectus supplement the following
information  when  we  sell  securities  offered  by  this  prospectus:

   - the terms of any indebtedness that we will repay with the proceeds of the
     offering,

   - the amount and source of any other funds we might need to accomplish the
     purpose of the offering, and

   - if we use the proceeds of the offering to make an acquisition, we will
     describe the assets we are acquiring.



                          RATIOS OF EARNINGS TO FIXED CHARGES AND
                EARNINGS TO COMBINED FIXED CHARGES AND PREFERENCE DIVIDENDS




     The  following table sets forth the ratios of earnings to fixed charges and
earnings  to  combined  fixed  charges  and preference dividends for the periods
indicated.


     In  the  table  below,

   - (a)  means that earnings were inadequate to cover fixed charges for the six
     months  ended  June  30,  1998 by $156,159,000, for the years ended
     December 31, 1998,  1997  and  1996 by $261,824,000, $8,922,000 and
     $6,275,000, respectively, for  the  seven  months  ended December 31, 1994
     by $30,565,000 and for the year ended  May  31, 1994 by $40,976,000.
     Without nonrecurring items, earnings would have  been  inadequate  to cover
     fixed charges for the six months ended June 30, 1998  by  $25,614,000,  for
     the years ended December 31, 1998, 1997 and 1995 by $39,377,000,
     $15,175,000  and  $9,921,000,  respectively,  for the seven months ended
     December  31,  1994 by $29,581,000 and for the year ended May 31, 1994 by
     $51,415,000,  and

   - (b) means that earnings were inadequate to cover combined fixed charges and
     preference dividends for the six months ended June 30, 1998 by
     $156,346,000, for the years ended December 31, 1998, 1997 and 1996 by
     $264,885,000,$9,322,000 and $7,260,000,  respectively,  for  the  seven
     months  ended December 31, 1994 by $31,014,000  and  for  the  year  ended
     May  31, 1994 by $40,976,000.  Without nonrecurring  items, earnings would
     have been inadequate to cover combined fixed charges  and  preference
     dividends  for the  six months ended June 30, 1998 by $25,801,000,  for
     the  years  ended December  31,  1998,  1997  and  1995  by $42,438,000,
     $15,575,000  and $10,723,000,  respectively, for the seven months ended
     December  31,  1994 by $30,030,000 and for the year ended May 31, 1994 by
     $51,415,000.



<TABLE>
<CAPTION>



                                                                                         SEVEN
                           SIX MONTHS                                                   MONTHS      YEAR
                             ENDED                                                       ENDED      ENDED
                            JUNE 30,                YEAR ENDED DECEMBER 31,             DEC. 31,   MAY 31,
                      ------------------  ------------------------------------------
                        1999       1998      1998       1997        1996       1995       1994      1994
                      -------    -------    -------    -------    -------    -------    -------    -------

<S>                   <C>
Ratio of earnings to
fixed charges           1.8x       (a)        (a)       (a)         (a)        1.1x       (a)        (a)
Ratio of earnings to
combined fixed
charges and
preference dividends    1.1x       (b)        (b)       (b)         (b)        1.0x       (b)        (b)

</TABLE>








   For purposes of computing the ratio of earnings to fixed charges:

- - "earnings" consists of the following:

   - earnings (loss) from continuing operations before income taxes, minority
     interest and extraordinary items, plus

   - fixed charges, less

   - capitalized interest, less

   - preference share dividend requirements of subsidiaries adjusted to a
     pretax basis, and less

   - undistributed earnings (loss) of affiliates whose debt is not guaranteed
     by us.

and

 - "fixed  charges" consists of interest charges and preference share dividend
     requirements  of  subsidiaries,  adjusted  to  a  pretax  basis.


     To  compute  the ratio of earnings to combined fixed charges and preference
dividends,  we  added  the  preference share dividend requirements at the parent
company  level  to  the  denominator.


                                 THE SECURITIES

     We  intend  to  sell our securities from time to time. These securities may
include the following, in each case, as specified by us at the time of offering:
(1) debt securities, comprising senior debt securities, senior subordinated debt
securities  and  subordinated  debt securities, each of which may be convertible
into ordinary shares or preference shares, (2) preference shares, (3) depositary
shares  representing preference shares, (4) ordinary shares, and (5) warrants to
purchase  debt  securities,  preference  shares  or  ordinary  shares.


     We  will  offer  the securities to the public on terms determined by market
conditions  at the time of sale and set forth in a prospectus supplement or term
sheet  relating  to  the  specific  issue  of  securities.


     We will offer the securities described in this prospectus either separately
or  together  in  one  or  more  series  of  up to $250,000,000 aggregate public
offering  price  or its equivalent in foreign currencies or units of two or more
currencies,  based  on the applicable exchange rate at the time of the offering,
as  we  shall  designate  at  the  time  of  the  offering.

                         DESCRIPTION OF DEBT SECURITIES

     The  following  description  is a summary of the material provisions of the
indentures.  It  does  not restate those agreements in their entireties. We urge
you to read these indentures because they, and not this description, will define
your  rights  as  holders  of  the  debt  securities.

GENERAL

     The debt securities we may offer will be our unsecured general obligations.
The  debt  securities  may  be  senior debt securities, senior subordinated debt
securities  or subordinated debt securities.  The debt securities will be issued
under  an indenture between us and a trustee that we will name in the applicable
prospectus  supplement.

     We  have  described  below  some  general  terms that may apply to the debt
securities  we  may  offer.  We  will  describe the particular terms of any debt
securities we offer to you in the prospectus supplement relating to the specific
series  of  debt  securities  being  offered.

     The indentures for the senior debt securities, the senior subordinated debt
securities  and  the  subordinated  debt securities are substantially identical,
except  for  provisions relating to subordination. The following summary of some
provisions  of  the  indentures  is  not  complete.  You  should  refer  to  the
indentures,  which  are  attached  as  exhibits to the registration statement of
which this prospectus is a part. Section references below are to the sections in
the  applicable  indenture.

     Each  indenture  provides  that  we  may  issue  debt  securities up to the
principal amount we authorize from time to time. The senior debt securities will
be  unsecured  and  will  have  the  same rank as all of our other unsecured and
unsubordinated debt. The senior subordinated debt securities will be subordinate
and junior in right of payment to all senior indebtedness, but will be senior to
any  of  our  other  indebtedness that is neither senior indebtedness nor senior
subordinated  indebtedness.  For  a  definition of "senior indebtedness" see "--
Provisions  Applicable  only  to  Senior  Subordinated  Debt  Securities  and
Subordinated  Debt  Securities  --  Subordination"  below. The subordinated debt
securities  will  be unsecured and will be subordinated and junior to all senior
indebtedness.

     We  may  issue the debt securities in one or more separate series of senior
debt  securities,  senior  subordinated debt securities and/or subordinated debt
securities.  We  will  specify  in  the  prospectus  supplement  relating  to  a
particular  series  of  debt  securities  being  offered the particular amounts,
prices  and  terms  of  those  debt  securities.  These  terms  may  include:

   - the title and type of the debt securities;

   - any limit on the aggregate principal amount or aggregate initial offering
     price of the debt securities;

   - the purchase price of the debt securities;

   - the dates on which the principal of the debt securities will be payable
     and the amount payable upon acceleration;


   - the interest rates of the debt securities, including the interest rates, if
     any,  applicable  to  overdue  payments,  or the method for determining
     interest rates, the dates from which interest will accrue, and the interest
     payment dates for  the  debt  securities;

   - any  provision  relating  to  the  issuance  of  the  debt securities at an
     original  issue  discount;

   - the  places  where and the manner in which payments may be made on the debt
     securities and the places  where you may present the  debt securities for
     transfer;

   - any mandatory or optional redemption provisions applicable to the debt
     securities;

   - any sinking fund or similar provisions applicable to the debt securities;

   - the authorized denominations of the debt securities, if other than $1,000
     and integral multiples of $1,000;

   - if  denominated  in  a  currency  other  than U.S. dollars, the currency or
     currencies,  including the euro or other composite currencies, in which
     payments on  the  debt  securities  will  be  payable.  Currencies  may  be
     different for principal,  premium  and  interest  payments;

   - any conversion or exchange provisions applicable to the debt securities;

   - the name of the trustee;

   - any  deleted,  modified  or  additional  events  of  default or remedies or
     additional covenants applicable to the debt securities, if not described in
     this prospectus;  and

   - any  other  specific  terms  of  the  debt  securities.

     Debt  securities  may  bear  interest  at  a  fixed  or a floating rate. In
addition,  we  may  issue some of the debt securities as original issue discount
debt  securities.  Original  issue  discount debt securities bear no interest or
bear  interest  at below-market rates and will be sold at a discount below their
stated  principal  amount. The applicable prospectus supplement will contain any
special tax, accounting or other information relating to original issue discount
debt  securities.  If  we  offer  other kinds of debt securities, including debt
securities  linked to an index or payable in currencies other than U.S. dollars,
the  prospectus  supplement  relating to those debt securities will also contain
any  special  tax,  accounting  or  other  information  relating  to  those debt
securities.

     When  we  determine  whether  holders  of the requisite aggregate principal
amount  of  outstanding  debt  securities  of any series have given any request,
demand,  authorization,  direction,  notice,  consent  or  waiver  under  the
indentures,  we  will deem as outstanding for this purpose the principal amounts
of the relevant original issue discount debt securities that are due and payable
as  of  the  date  of  determination  upon  acceleration.

     We  will  issue  the  debt  securities only in fully registered form and in
denominations  of  $1,000  and  any integral multiple thereof (Section 2.7). The
indentures  permit  us  to  issue  debt  securities  of  a series in definitive,
certificated  form  or in global form. You will not be required to pay a service
charge  for  any transfer or exchange of debt securities, but we may require the
relevant  holder  to  pay any taxes or other governmental charges (Section 2.8).

     Unless otherwise specified in the applicable prospectus supplement, we will
pay  principal  of,  and premium and interest, if any, on the debt securities at
the  office  of  the  trustee  designated  in  the  indenture. You may also make
transfers  or  exchanges  of  debt securities at that location. We also have the
right  to  pay interest on any debt securities by check mailed to the registered
holders of the debt securities at their registered addresses. In connection with
any payment on a debt security, we may require the holder to certify information
to  the  trustee. In the absence of that certification, we may rely on any legal
presumption to enable us to determine our responsibilities, if any, to deduct or
withhold  taxes,  assessments  or  governmental  charges  from  the  payment.

     Unless otherwise specified in the applicable prospectus supplement, none of
the  indentures  limits  our  ability to pay dividends or acquire our shares. In
addition,  unless  otherwise  specified in the applicable prospectus supplement,
none  of  the indentures limits the amount of debt securities that may be issued
thereunder  nor  do  they  provide  you  with  any  special protection if we are
involved  in  a highly leveraged transaction, recapitalization or restructuring.

     We  may  issue  debt  securities  upon the exercise of warrants issued with
other  debt  securities  or  upon  exchange  or  conversion  of  exchangeable or
convertible  debt securities. The applicable prospectus supplement will describe
the  specific  terms  of  any  of  those warrants or exchangeable or convertible
securities.  It  will  also  describe  the specific terms of the debt securities
issuable  upon  the  exercise,  exchange  or conversion of those securities. See
"Description  of  Warrants"  below.

     Events  of  Default.  Unless otherwise defined in the applicable prospectus
supplement, an event of default is defined in each indenture with respect to any
series  of  debt  securities  as  any  one  of  the  following  events:

(1) default in the payment of principal of, or premium, if any, on any debt
security of that series when due;

(2) default in the payment of interest on any debt security of that series and
the default continues for 30 days;

(3)  default  in  the  payment or satisfaction of any sinking fund payment or
other purchase obligation with respect  to  that  series  when  due;

(4)  we  fail  to  perform  any  of  the  other  covenants in the indenture
applicable  to  that  series  for  90  days  after  proper  notice;

(5)(A) we fail to pay other indebtedness for money borrowed at the later of
final  maturity  or  the  expiration  of  any applicable grace period or (B) the
maturity  of  other  indebtedness for money borrowed by us is accelerated, if in
the  case  of  either  (A) or (B) the total principal amount of the indebtedness
exceeds  $20,000,000  and if we do not obtain the rescission or annulment of the
default  or  acceleration  within  20  days  after  due  notice;

(6) certain events of bankruptcy, insolvency or reorganization of Triton; and

(7) any other event of default specified with respect to debt securities of that
series (Section 5.1).

     If  any  event  of  default  with  respect to debt securities of any series
occurs  and  is  continuing,  either  the  trustee or holders of at least 25% in
aggregate principal amount of the outstanding debt securities of that series may
declare the principal amount of all debt securities of that series to be due and
payable  immediately. If the event of default is an event of bankruptcy, holders
are  not  required  to  declare  an  acceleration and acceleration is automatic.
Subject  to certain conditions, the holders of a majority in aggregate principal
amount  of  the  outstanding  debt  securities  of  that  series  may  annul the
declaration  and waive past defaults except uncured payment defaults and certain
other  specified  defaults  (Section  5.1).

     We  will  describe  in  the applicable prospectus supplement any particular
provisions  relating  to  the  acceleration  of the maturity of a portion of the
principal  amount  of  original  issue discount debt securities upon an event of
default.

     Each  of  the  indentures  provides  that  no  holder of any series of debt
securities  may  sue  us  or otherwise bring an action against us to enforce the
indenture,  unless  (1)  the  holder  had previously notified the trustee of the
default,  (2)  the holders of at least 25% in aggregate principal amount of that
series  of debt securities then outstanding have requested the trustee to sue us
or  otherwise  bring  an  action  against  us  to enforce the indenture and have
offered  to  indemnify  the  trustee  and  (3) the trustee for 60 days after its
receipt  of  the  notice, request and offer of indemnity shall have neglected or
refused  to  institute the suit or proceeding. The right of a holder of any debt
security  to  receive  payment  of the principal of, and premium or interest, if
any, on the debt security, on or after the due dates, or to institute a suit for
the  enforcement  of payment cannot be impaired or affected without the holder's
consent,  except  in  the case of holders of senior subordinated debt securities
and  subordinated debt securities (Section 5.4). The rights of holders of senior
subordinated  debt securities and subordinated debt securities may be limited by
the  subordination provisions of their indentures, which are described under "--
Provisions  Applicable  Only  to  Senior  Subordinated  Debt  Securities  and
Subordinated  Debt  Securities  --  Subordination"  below.

     The  indentures  provide  that  the  holders  of  a  majority  in aggregate
principal  amount  of  any series of debt securities then outstanding may direct
the time, method and place of conducting any proceeding for any remedy available
to  the  trustee  or exercising any of the trustee's powers with respect to that
series.  The  trustee  will  not  be  required to follow those directions if the
trustee  determines  that  the action or proceeding is unlawful or would involve
the  trustee  in  personal  liability  (Section  5.7).


     We  are  required  under each indenture to file annually with the trustee a
certificate  of no default, or specifying any default that exists (Section 4.3).


     Defeasance  and  Covenant  Defeasance.  Each  of  the indentures contains a
provision  that  permits  us  to  elect  either  or  both  of

(1)     Defeasance  -  defeasance would discharge us from all of our obligations
with  respect  to  any  debt  securities  of  that  series  then outstanding and
terminate substantially all of our obligations and the holders' rights under the
indenture,  except our obligation to permit the transfer of the debt securities,
to  replace  lost  and  destroyed  certificates,  and  to maintain an office for
notice, and the holders' right to receive payments at the stated maturity dates,
and

(2)     Covenant  Defeasance  -  covenant  defeasance  would release us from our
obligations  under  the  restrictive  covenants  in  the  indenture and from the
consequences  of  an event of default resulting from a breach of those covenants
or  a cross-default (Article Ten). Currently, only the senior indenture contains
a  restrictive  covenant,  and  it  restricts our ability to permit liens on our
assets.  The applicable prospectus supplement will describe covenants pertaining
to  debt  securities  that  would  be  subject  to  covenant  defeasance.

     To  elect  defeasance or covenant defeasance, we must deposit in trust with
the  trustee money and/or U.S. government obligations  which by their terms will
provide  sufficient  money,  without  reinvestment,  to repay in full those debt
securities.  The  U.S.  government obligations we could use for this purpose are
(1)  direct  obligations of the United States or of an agency or instrumentality
of  the  United  States, in either case that is or is guaranteed as a full faith
and  credit  obligation  of  the United States and that is not redeemable by the
issuer  and  (2) certain depository receipts with respect to these types of U.S.
government  obligations.

     As a condition to defeasance or covenant defeasance, we must deliver to the
trustee  an  opinion of counsel that the holders of the debt securities will not
recognize  income,  gain  or loss for federal income tax purposes as a result of
the  defeasance  or  covenant  defeasance.  The opinion must also state that the
holders  of  debt  securities  will be subject to federal income tax on the same
amount,  in the same manner and at the same times as would have been the case if
defeasance  or covenant defeasance had not occurred. The opinion, in the case of
defeasance,  but  not  covenant  defeasance,  must  refer to and be based upon a
ruling  issued  to  us by the Internal Revenue Service or published as a revenue
ruling  or  upon  a  change in applicable federal income tax law (Section 10.1).

     If  we  exercise  our  defeasance  option, the holders could not accelerate
payment  of  those  debt  securities  because  of  any  event of default. We may
exercise  our  defeasance  option  with  respect  to a particular series of debt
securities  even  if we previously had exercised our covenant defeasance option.

     If  we exercise our covenant defeasance option with respect to a particular
series  of  debt securities, then even if there were a default under the related
covenant, the holders of those debt securities could not accelerate the maturity
of  the  securities.  If  we  exercise  our  covenant  defeasance  option and an
acceleration  were to occur, the value at the acceleration date of the money and
U.S.  government  obligations  in  the defeasance trust holders receive could be
less  than the principal and interest then due on those debt securities. This is
because  the required deposit of money and/or U.S. government obligations in the
defeasance  trust  is  based upon scheduled cash flows rather than market value,
which  will  vary  depending  upon  interest  rates  and  other  factors.

     Modification  of  the Indentures. We and the trustee for any series of debt
securities may modify the applicable indenture or any supplemental indenture for
that  series with the consent of the holders of at least a majority in principal
amount  of  the  series  of  outstanding  debt  securities  affected  by  the
modification.  However,  without the consent of each affected holder, we may not
modify  the  indenture  or  supplemental  indenture  to:

   - extend the stated maturity of any debt security;

   - reduce the principal amount of or premium, if any, on any debt security;

   - reduce the rate or extend the time of payment of interest on any debt
     security;

   - change the currency or currencies in which any debt security is payable;

   - reduce  the  percentage  of  holders  of outstanding debt securities of
     any series  required  to  consent to any modification, amendment or waiver
     under the indenture;

   - reduce or alter the computation method of any amount payable on redemption,
     repayment or purchase by us;

   - reduce the principal of any original issue discount debt security payable
     upon acceleration or provable in bankruptcy;

   - impair  or  affect  the  holders'  right  to institute suit for the
     enforcement of any payment, or if applicable, adversely  affect  any
     right  any holder  may  have  for  prepayment;  or

   - change  the  provisions in the indenture that relate to its modification or
     amendment  (Section  8.2).

     We  and  the  applicable  trustee  may  enter  into supplemental indentures
without  the  consent  of  the  holders of the debt securities to, among others:


   - evidence the assumption by a successor entity of our obligations under the
     applicable indenture;

   - add covenants or new events of default for the holders' protection;

   - secure the debt securities; and

   - modify  existing covenants and events of default solely with respect to, or
     add new covenants and events of default that only apply to, debt securities
     that are  not  yet  issued  and outstanding on the date of the supplemental
     indenture (Section  8.1).

     Consolidation, Merger and Sale of Assets. Unless otherwise specified in the
applicable  prospectus  supplement,  we  may  consolidate with or merge into any
other person or transfer, exchange or dispose of all or substantially all of our
assets  to  another  person  without  the  consent  of  the  holders of any debt
securities,  provided  that:


(1) the successor is a corporation or partnership organized under U.S. or Cayman
Islands law;

(2) the successor person, if not Triton, assumes our obligations on the debt
securities and under the indentures;

(3)  after  giving  effect  to the transaction, no event of default, and no
event  which,  after  notice  or lapse of time or both, would become an event of
default,  shall  have  occurred  and  be  continuing;  and


(4)  we,  or  the successor person, if not Triton, deliver to the trustee a
certificate  of  an  officer  and  a  legal  opinion  to  the  effect  that  the
consolidation,  merger  or  sale,  and the assumption by the successor, complies
with  the  indenture  (Section  9.1).

     Additional  Amounts  for  Taxes.  We  will  make  all  payments on the debt
securities  without  deduction  or  withholding for withholding taxes, levies or
other  charges  imposed  by  the  Cayman  Islands.  If in the future, the Cayman
Islands  imposes  any requirement for deducting or withholding any taxes, levies
or  other  charges,  we  will  add to any payments of principal, and premium and
interest,  if  any, an amount that will result in the net amounts paid to you or
the  trustee,  as  the case may be, being equal to the amounts of principal, and
premium  and  interest, if any, to which you are entitled under the terms of the
debt  securities  and  the  applicable  indenture.

     We  will  not  be required to pay these additional amounts for taxes to you
if:

   - the  tax,  levy,  or  other  charge is imposed because you (or a fiduciary,
     settle or, beneficiary  of, member or shareholder of, yours, if applicable)
     are a domiciliary,  national  or  resident  of,  or  engage  in business or
     maintain a permanent  establishment  or  are  physically  present in, the
     Cayman Islands or otherwise  having some connection with the Cayman Islands
     other than the holding or  owning  the  debt  securities,  or

   - you  present your debt securities for payment, if presentation is required,
     more  than 30 days after the date payment was due or was provided for,
     whichever is  later.

Also, we will not be required to pay additional amounts for the following types
of taxes, levies or charges:

   - estate, inheritance, gift, sales, transfer, excise, personal property or
     similar taxes, levies or charges;

   - taxes, levies or charges that are not payable by withholding from our
     payment of principal, and premium and  interest,  if  any;  or

   - taxes, levies or charges that are imposed due to a failure by you to
     comply with any reporting requirements, if any, concerning your
     nationality, residence, identity  or  connections  with  the  relevant
     tax  authority.

     In  addition,  if you are a fiduciary or a partnership, we will not pay you
additional  amounts for taxes to the extent that we would not be required to pay
any  additional  amounts  to  your  beneficiary  or settlor, or partner or other
beneficial  owner,  if  they  were  the  holder  of  the  debt  securities.

PROVISIONS  APPLICABLE  ONLY  TO  SENIOR  DEBT  SECURITIES

     The senior debt securities will be direct, unsecured general obligations of
Triton  and will constitute senior indebtedness of Triton. These securities will
have the same rank as our other senior indebtedness. For a definition of "senior
indebtedness"  see  "--  Provisions  Applicable only to Senior Subordinated Debt
Securities  and  Subordinated  Debt  Securities  --  Subordination"  below.

     Limitations  on  Liens.  As  long  as  any  senior  debt  securities  are
outstanding,  the  senior  indenture provides that we may not, and may not allow
any  restricted subsidiary to, pledge, mortgage or grant a security interest in,
or  permit  any  mortgage,  pledge,  security  interest  or other lien upon, any
property  or assets owned by us or any restricted subsidiary to secure any debt,
unless  we also provide any outstanding senior debt securities with an equal and
ratable  security  interest  (Section  3.6).  A  subsidiary  is  a  "restricted
subsidiary" if it owns or leases any property or interest that we consider to be
capable  of  producing  oil or gas or minerals in commercial quantities, owns or
leases any processing or manufacturing plant or pipeline that is material to our
business, or if our board of directors designates it as a restricted subsidiary.

    This  limitation  will  not  apply  to  or  restrict  the  following:

   - any  mortgage, pledge, security interest or other lien on any asset that is
     in  existence  at  the  time  we  issue  the  senior  debt  securities;

   - any  mortgage, pledge, security interest or other lien on any asset created
     at  the  time  we or any restricted subsidiary acquires the asset, or
     within one year  after  we  or  any  restricted  subsidiary acquires the
     asset, in order to finance  all  or  a  portion  of  the  purchase  price
     for  the asset;

   - any  mortgage, pledge, security interest or other lien on any asset that is
     in  existence  at  the  time we or any restricted subsidiary acquires the
     asset;

   - any  mortgage,  pledge,  security interest or other lien on any asset of an
     entity that is in existence at the time  the  entity becomes a restricted
     subsidiary  after  the  date  of  the  senior  indenture;

   - any  mortgage, pledge, security interest or other lien on any asset arising
     in connection with a transfer by us or any restricted subsidiary of a
     production payment;

   - any  mortgage,  pledge,  security  interest  or other lien on property that
     secures  (1)  the  cost of exploration, drilling or development of the
     property, (2)  the  cost  of  acquiring,  constructing,  or improving the
     property, or (3) indebtedness  incurred  by  us or any restricted
     subsidiary to provide funds for any  of  these  activities;

   - any mortgage, pledge, security interest or other lien with respect to crude
     oil,  natural  gas or other petroleum hydrocarbons in place for a period of
     time until  the  transferee realizes a specified amount of money or
     quantity of crude oil,  natural  gas  or  other  petroleum  hydrocarbons;

   - any  mortgage,  pledge,  security  interest  or  other lien required by any
     contract  or  statute  in  order  to  permit  us or any restricted
     subsidiary to perform  a  contract made with or at the request of a
     government or governmental agency,  or  to  secure  partial,  progress,
     advance  or  other payments by the government or governmental agency to us
     or any restricted subsidiary pursuant to the  provisions  of  any  contract
     or  statute;

   - any  mortgage,  pledge,  security interest or other lien in our favor or in
     favor  of  any  restricted  subsidiary;

   - any mortgage, pledge, security interest or other lien created or assumed by
     us  or  any  restricted  subsidiary  in  connection  with  the  issuance of
     debt securities  the interest on which is excludable from the taxable gross
     income of the  holder  of  the security for the purpose of financing, in
     whole or in part, the  acquisition  or  construction  of  property or
     assets to be used by us or a subsidiary;


   - any  extension,  renewal  or  refunding  of  any mortgage, pledge, security
     interest  or  other  lien  described  in the foregoing on substantially the
     same property  or  assets;

   - the  mortgage,  pledge, security interest or other lien that would arise if
     we  were  to  deposit  funds  or  securities  to  defease  any  of  our  or
     our subsidiaries' indebtedness;

   - any mortgage, pledge, security interest or other lien securing indebtedness
under  hedging  obligations  or  contracts  otherwise permitted under the senior
indenture;  or


   - any  mortgage,  pledge,  security  interest  or  other  lien  securing  any
     indebtedness  in  an  amount which, together with all other secured
     indebtedness that  is  not  otherwise permitted by the foregoing, does not
     at the time of the incurrence  of  the  secured  indebtedness  exceed  20%
     of our consolidated net tangible  assets.  "Consolidated  net  tangible
     assets"  means the total assets included  on  our  most  recent  balance
     sheet,  consolidating  only restricted subsidiaries,  less  reserves  and
     other  properly deductible  items and after deducting  current  liabilities
     and goodwill, trade names, trademarks, patents, unamortized  debt  discount
     and  expense  and other similar intangibles, all in accordance  with
     generally accepted accounting principles consistently applied.


     In  addition,  this  limitation  will  not  apply  to  or  restrict certain
mortgages, pledges, security interests or other liens that arise in the ordinary
course  of  the  international  oil  and  gas  business,  such as the following:


   - taxes,  assessments,  governmental charges or levies on our property or any
     restricted  subsidiary's  property if we are contesting them in good faith
     or if they  are  not  delinquent  and  can  be  paid  without  penalty;

   - carriers',  warehousemen's,  landlords'  and  mechanics'  liens  and  other
     similar liens that secure obligations that we are contesting in good faith
     or if the  obligations  are  less  than  60  days  past  due;


   - pledges  or  deposits  under  worker's  compensation  laws,  unemployment
     insurance, old age pensions, or other social security or retirement
     benefits, or similar  legislation;

   - utility  easements,  building restrictions or other encumbrances or charges
     against  real  property  that  do  not  materially affect its marketability
     or interfere  with  our  usage  of  it;

   - those that arise under operating or similar agreements for obligations that
     are  not  yet  due  or  that  we  are  contesting  in  good  faith;


   - reserves  for  oil, gas and/or mineral leases, production sharing contracts
     and  petroleum  concession  agreements and licenses for bonus or rental
     payments and  for  compliance  with  the  terms  in  these  documents;

   - those  that arise pursuant to agreements that are customary in the oil, gas
     and  other  mineral  exploration, development and production business and
     in the business  of  processing of gas and gas condensate production for
     the extraction of  products  therefrom;

   - those  imposed  on personal property, excluding any restricted subsidiary's
     capital  stock, to secure our or any restricted subsidiary's indebtedness,
     other than  indebtedness that will mature or is renewable on a date more
     than one year after  original  incurrence;  and

   - those  imposed  by law or order as a result of any court or regulatory body
     proceeding  that  we  are  contesting  in good faith or judgement liens or
     other court-ordered  awards  or  settlements  as  to  which  we have not
     exhausted our appellate  rights.






PROVISIONS  APPLICABLE  ONLY  TO  SENIOR  SUBORDINATED  DEBT  SECURITIES  AND
SUBORDINATED  DEBT  SECURITIES

     The  senior  subordinated  debt securities and subordinated debt securities
will be direct, unsecured general obligations of Triton. The senior subordinated
debt  securities  will  be  subordinate  and  junior in right of payment, to the
extent  set  forth  in  the  senior  subordinated  indenture,  to  all  senior
indebtedness,  but  will  be  senior  to any indebtedness that is neither senior
indebtedness  nor  senior  subordinated  indebtedness  .  The  subordinated debt
securities will be subordinate and junior in right of payment, to the extent set
forth  in  the  subordinated  indenture,  to all senior indebtedness. The senior
subordinated  indenture  and  subordinated  indenture do not limit the amount of
indebtedness,  including  senior  indebtedness  and  senior  subordinated
indebtedness,  we  may  incur.  As  of ______________, 1999, senior indebtedness
totaled  approximately  $___  million.

     Subordination. The senior subordinated indenture and subordinated indenture
define  "senior  indebtedness"  to  mean,  as  to  any series of debt securities
constituting  senior  subordinated  debt  securities  or  subordinated  debt
securities,  the  principal  of,  and  premium  and  interest,  if  any,  on all
indebtedness  for money borrowed by us, or money borrowed by another person that
we  have  guaranteed,  whether  outstanding  on  the  date  the indenture became
effective  or  created, assumed or incurred after that date, except indebtedness
that is stated to be inferior to or to have the same rank as that series of debt
securities.  Senior indebtedness does not include our other indebtedness that is
expressly  stated  to  have  the  same  rank  as  the  senior  subordinated debt
securities  or  subordinated  debt  securities  or  to rank junior to the senior
subordinated  debt  securities  or  subordinated  debt  securities.  Senior
indebtedness does not include trade payables, any indebtedness we may owe to any
of  our  wholly-owned subsidiaries, or interest accruing after certain events of
bankruptcy  or  insolvency unless the interest is an allowed claim under federal
or  state  bankruptcy  laws.

     Under  the senior subordinated indenture and the subordinated indenture, we
may  not  make  any  payment  on  the  senior  subordinated  debt  securities or
subordinated  debt  securities  in  the  event:

   - we  have  failed  to  make  full  payment  of all amounts of principal, and
     premium  and  interest,  if  any,  due  on  all  senior  indebtedness;  or

   - there  shall  exist  and  be  continuing  any other event of default on any
     senior  indebtedness  and  the  maturity  of  that  senior indebtedness has
     been accelerated  (Sections  13.1  and 13.4 of the senior subordinated debt
     indenture and  Sections  13.1 and 13.4 of the subordinated debt indenture).

     If any other default under senior indebtedness occurs that would permit its
acceleration,  or if  any other default under senior indebtedness occurs and any
applicable  grace  period  expires,  then the holders of senior indebtedness may
prohibit  any payment on the senior subordinated debt securities or subordinated
debt  securities  for  up  to  179  days.

     Upon  our  dissolution,  winding-up, liquidation or reorganization, we must
pay  to the holders of senior indebtedness the full amounts of principal of, and
premium  and interest, if any, on that senior indebtedness before any payment or
distribution  is made on the senior subordinated debt securities or subordinated
debt  securities  (Section  13.1  of  the senior subordinated debt indenture and
Section  13.1  of  the  subordinated  debt  indenture).

GLOBAL  DEBT  SECURITIES

     Rather  than  issue  definitive  certificates  to  purchasers  of  our debt
securities,  we  may  issue  certain  series  of  debt securities as global debt
securities  and  deposit  them  with  a  depositary  with respect to that series
(Section  2.8).  Unless  otherwise  indicated  in  the  applicable  prospectus
supplement, the following is a summary of the depository arrangements applicable
to  debt  securities  issued  in  global form and for which The Depositary Trust
Company  ("DTC")  acts  as  depositary.

     We  will  deposit  each global debt security with, or on behalf of, DTC, as
depositary,  or its nominee and register the global debt security in the name of
a  nominee  of DTC. DTC has advised us that upon the issuance and deposit of the
global  debt  security  with DTC, DTC will immediately credit, on its book-entry
registration  and  transfer  system,  the  principal amounts represented by that
global  debt  security  to  the  accounts  of its participants. Except under the
limited  circumstances  described  below,  global  debt  securities  are  not
exchangeable  for  definitive,  certificated  debt  securities.

     Only  institutions  that  have  accounts with DTC or its nominee or persons
that may hold interests through DTC participants may own beneficial interests in
a  global  debt  security.  DTC  will  maintain  records reflecting ownership of
beneficial  interests  by  DTC  participants  in  the global debt securities and
transfers  of those interests. DTC participants will maintain records evidencing
ownership  of beneficial interests in the global debt securities by persons that
hold  through  those  DTC  participants  and transfers of those interests within
those  participants.

     DTC  has  no  knowledge  of  the  actual  beneficial  owners  of  the  debt
securities.  DTC  will  not  issue  any  written  confirmation  of a purchase of
beneficial  interests in a global debt security, but we expect that the relevant
DTC  participant  will  issue  written  confirmations  providing  details of the
transaction,  as well as periodic statements of a purchaser's holdings. The laws
of  some  jurisdictions  require  that  certain  purchasers  of  securities take
physical  delivery  of  those securities in definitive, certificated form. Those
laws  may impair an owner's ability to transfer beneficial interests in a global
debt  security.





     We will make payment of principal of, and premium and interest, if any, on,
debt  securities represented by a global debt security to DTC or its nominee, as
the  case may be, as the registered owner and holder of the global debt security
representing  those debt securities. DTC has advised us that upon receipt of any
payment  of  principal  of,  or  premium and interest, if any, on, a global debt
security, DTC will immediately credit accounts of DTC participants with payments
in  amounts  proportionate  to  their  respective  beneficial  interests  in the
principal  amount  of that global debt security, as shown in the records of DTC.
Standing  instructions  and  customary  practices  will  govern  payments by DTC
participants  to  owners  of beneficial interests in a global debt security held
through  those  participants,  as  is  now the case with securities held for the
accounts  of  customers  in  bearer  form  or registered in "street name". Those
payments  will  be the sole responsibility of those DTC participants, subject to
any  statutory  or  regulatory  requirements  that may be in effect from time to
time.

     Neither  we,  the  trustee  nor  any  of  our  respective  agents  will  be
responsible  for  any  aspect  of  the  records  of  DTC, any nominee or any DTC
participant relating to, or payments made on account of, beneficial interests in
a  global  debt security or for maintaining, supervising or reviewing any of the
records  of DTC, any nominee or any DTC participant relating to those beneficial
interests.

     A  global  debt  security  is  exchangeable  for definitive debt securities
registered  in  the  name  of  a  person  other than DTC or its nominee only if:

   - DTC  notifies  us  that it is unwilling or unable to continue as depositary
     for  that  global  debt  security  or  DTC  ceases  to  be  registered
     under the Securities  Exchange  Act  of  1934;

   - we  determine  in  our  discretion  that  the  global debt security will be
     exchangeable  for  definitive  debt  securities  in  registered  form;  or

   - there shall have occurred and be continuing an event of default or an event
     which,  with  notice  or the lapse of time or both, would constitute an
     event of default  under  the  debt  securities.

     If  a  global  debt  security  becomes  exchangeable  for  definitive  debt
securities  as  described  in the preceding sentence, it will be exchangeable in
whole  for  definitive, certificated debt securities in registered form, of like
tenor and of an equal aggregate principal amount as the global debt security, in
denominations  of $1,000 and integral multiples of $1,000 or other denominations
specified  in  the  applicable  prospectus  supplement.

     The  registrar  will register the definitive debt securities in the name or
names  instructed  by  DTC.  We  expect  that  DTC will base its instructions on
directions  it  receives  from  its  participants  with  respect to ownership of
beneficial  interests  in  the global debt security. We will make payment of any
principal  of,  and  premium  and  interest,  if  any,  on  the  definitive debt
securities  and  will  register transfers and exchanges of those definitive debt
securities  at the corporate trust office of the trustee . However, we may elect
to  pay  interest  by check mailed to the address of the person entitled to that
interest  payment  as  of the record date, as shown on the register for the debt
securities.

     Except  as  provided  above,  an owner of a beneficial interest in a global
debt  security  will  not  be  entitled  to  receive  physical  delivery of debt
securities  in  definitive  form  and  will not be considered the holder of debt
securities  for  any  purpose  under  the  applicable  indenture. No global debt
security  will  be  exchangeable except for another global debt security of like
denomination  and  tenor  to  be  registered  in the name of DTC or its nominee.
Accordingly,  the  owner of a beneficial interest in a global debt security must
rely  on  the  procedures of DTC and the DTC participant through which the owner
owns  his  interest  to  exercise  any  rights of a holder under the global debt
security  or  the  applicable  indenture.

     We understand that, under existing industry practices, in the event that we
request  any action of holders, or an owner of a beneficial interest in a global
debt security desires to take any action that a holder is entitled to take under
the  debt  securities  or  the  indentures, DTC would authorize its participants
holding  the  relevant  beneficial  interests to take that action, and those DTC
participants would authorize beneficial owners owning through those participants
to  take  that action or would otherwise act upon the instructions of beneficial
owners  owning  through  them.


     DTC  has  advised  us that DTC is a limited purpose trust company organized
under  the  laws  of  the State of New York, a "banking organization" within the
meaning  of  the New York Banking Law, a member of the Federal Reserve System, a
"clearing  corporation"  within  the  meaning of the New York Uniform Commercial
Code  and  a  "clearing  agency" registered under the Securities Exchange Act of
1934.  DTC  was created to hold securities of its participants and to facilitate
the  clearance  and settlement of securities transactions among its participants
in  those  securities  through  electronic book-entry changes in accounts of the
participants,  thereby  eliminating the need for physical movement of securities
certificates.  DTC's participants include securities brokers and dealers, banks,
trust  companies,  clearing corporations and certain other organizations. DTC is
owned  by a number of its participants and by the New York Stock Exchange, Inc.,
the  American  Stock  Exchange,  Inc. and the National Association of Securities
Dealers,  Inc.  Access  to  DTC's book-entry system is also available to others,
such  as  banks,  brokers,  dealers  and  trust  companies that clear through or
maintain  a  custodial  relationship  with a DTC participant, either directly or
indirectly.  The  rules  applicable to DTC and its participants are on file with
the  SEC.


     DTC's management is aware that some computer applications, systems, and the
like for processing data that are dependent upon calendar dates, including dates
before,  on  and after January 1, 2000, may encounter "Year 2000" problems.  DTC
has  informed its participants and other members of the financial community that
it  has developed and is implementing a program so that its computer systems, as
they  relate  to  the  timely  payment  of  distributions  to  securityholders,
book-entry deliveries, and settlement of trades within DTC, continue to function
appropriately.  This  program  includes a technical assessment and a remediation
plan,  each  of  which  is complete. Additionally, DTC's plan includes a testing
phase,  which  DTC  expects  to  complete  within  appropriate  time  frames.


     However,  DTC's  ability to perform its services properly is also dependent
upon  other  parties,  including but not limited to issuers and their agents, as
well  as  third  party vendors from whom DTC licenses software and hardware, and
third  party  vendors  on  whom  DTC  relies for information or the provision of
services, including telecommunications and electrical utility service providers,
among  others.  DTC  has informed the financial community that it is contacting,
and  will  continue  to  contact,  third  party  vendors  from whom DTC acquires
services  to  impress upon them the importance of their services being Year 2000
compliant,  and  to  determine  the  extent  of  their  efforts  for  Year  2000
remediation  and, as appropriate, testing of their services. In addition, DTC is
in  the  process  of  developing  contingency  plans.


     According  to  DTC,  the foregoing information with respect to DTC has been
provided  to  the financial community for informational purposes only and is not
intended  to serve as a representation, warranty or contract modification of any
kind.



INFORMATION  CONCERNING  THE  TRUSTEE

     We  may  maintain  deposits and conduct other banking transactions with the
trustee  in the ordinary course of business and the trustee may serve as trustee
with  respect  to  other  series  of  debt  securities.

     We  will  set  forth  in  the  applicable prospectus supplement information
concerning  the  trustee.



                          DESCRIPTION OF SHARE CAPITAL

PREFERENCE  SHARES

     We are authorized by our memorandum and articles of association to issue up
to  20,000,000  preference  shares,  $.01  par  value  per share, in one or more
classes  or  series without shareholder action. If we issue a class or series of
preference  shares,  we  can  determine  the  number  of shares of each class or
series,  and the rights, preferences and limitations of each class or series, at
the  time  we issue the shares. We may also amend our memorandum and articles of
association  to  increase the number of authorized preference shares in a manner
permitted  by our memorandum and articles of association and Cayman Islands law.


     As  of the date of this prospectus, we have two series of preference shares
outstanding.  As  of  _________,  1999,  ________  shares  of  8%  Convertible
Preference  Shares  and  ______  shares of 5% Convertible Preference Shares were
outstanding.  The  terms  of  these  preference shares are described below under
"Outstanding  Preference  Shares".

     Under  our  shareholders  agreement  with  HM4  Triton,  L.P.,  we  may not
authorize  or  create  any  shares  that would rank equal to or senior to the 8%
Convertible  Preference  Shares as to dividend or liquidation rights without HM4
Triton,  L.P.'s  consent.  As  of  _________,  1999,  HM4  Triton,  L.P.  owned
approximately ____% of the 8% Convertible Preference Shares. See "-- Outstanding
Preference  Shares  --  Shareholders  Agreement"  below.

     We  may  not  issue  shares  that  would  rank senior to the 5% Convertible
Preference  Shares in dividend or liquidation rights without the approval of the
holders  of least two-thirds of the outstanding 5% Convertible Preference Shares
unless  we  issue  the  shares  wholly  for  cash  consideration.


     We  will  describe  the particular terms of any series of preference shares
being offered in the prospectus supplement relating to that series of preference
shares.  Those  terms  may  include:

   - the number of shares we are offering;

   - the title and liquidation preference per share;

   - the purchase price;

   - the dividend rate or method for determining that rate;

   - the dates on which we will pay dividends;

   - whether dividends will be cumulative and, if cumulative, the dates from
     which dividends will begin to accumulate;

   - any applicable redemption, retirement or sinking fund provisions;

   - any applicable voting rights;

   - any applicable provisions for the conversion of the shares offered into, or
     for the exchange of the shares for, shares of any other class or series of
     share capital  of  Triton  or  another corporation or any series of any
     other class or classes,  or  of  any  other  series  of  the  same  class;

   - whether  we  have  elected  to offer depositary shares with respect to that
     series  of  preference  shares;  and

   - any  additional dividend, liquidation, redemption, retirement, sinking fund
     and  other  rights,  qualifications, limitations, and restrictions
     applicable to that  series  of  preference  shares.

     You  should  refer  to  the  resolutions  relating  to  the  series  of the
preference  shares  being  offered  for  the  complete terms of those preference
shares. We will file those resolutions with the SEC promptly before the offering
of  the  preference  shares.

OUTSTANDING  PREFERENCE  SHARES


     The following summary of certain provisions of the resolutions establishing
the terms of the outstanding preference shares is not complete. You should refer
to  the  resolutions,  copies of which are exhibits to our Annual Report on Form
10-K  for  the  year  ended  December  31,  1998.  See  "Where You Can Find More
Information  about  Triton"  and  "Incorporation of Information We File with the
SEC."

     8%  Convertible  Preference  Shares

     Dividends.  We  are  required  to  pay  dividends  on  the  8%  Convertible
     ---------
Preference  Shares  semi-annually at the rate of 8% per year of the stated value
of  $70  per  share  for  each semi-annual dividend period ending on June 30 and
December  31  of  each  year. The first dividend period was the period ending on
June 30, 1999. Dividends on the 8% Convertible Preference Shares are cumulative.


     We are required to pay dividends on the 8% Convertible Preference Shares no
later  than  five  days after the end of a dividend period. We can choose to pay
dividends  in  cash  or  in  additional  8%  Convertible  Preference  Shares. If
dividends  are  not paid in cash or in additional shares on a scheduled dividend
payment  date,  all accumulated but unpaid dividends will be added to the stated
value  of the 8% Convertible Preference Shares outstanding, and future dividends
will  accumulate  and  be  paid  based  on  the  stated  value,  as  adjusted.


     The  8%  Convertible  Preference  Shares have priority as to dividends over
ordinary  shares,  the  5%  Convertible  Preference  Shares and any other Triton
shares  ranking  junior as to dividends to the 8% Convertible Preference Shares.
We  may not pay a dividend or other distribution on any ordinary shares or other
shares  ranking  junior  to  the  8%  Convertible  Preference  Shares unless all
accumulated  and  unpaid  dividends on the 8% Convertible Preference Shares have
been  paid. If we do not pay in full any accrued dividends on the 8% Convertible
Preference  Shares  or  on  any  shares  ranking  equal  to  the  8% Convertible
Preference  Shares  as  to  dividends,  we  must  pay  the  dividends  on the 8%
Convertible Preference Shares and those equally-ranked shares so that the amount
of  dividends declared per share on the 8% Convertible Preference Shares and the
equally-ranked shares will bear the same ratio that accrued and unpaid dividends
per  share on the 8% Convertible Preference Shares and the equally-ranked shares
bear  to  each  other.

     So long as the 8% Convertible Preference Shares are outstanding, we may not
redeem  or  purchase  any ordinary shares or any Triton shares ranking junior to
the 8% Convertible Preference Shares as to dividend or liquidation rights unless
(1)  we  have  paid,  or  concurrently pay, full dividends on all outstanding 8%
Convertible  Preference  Shares  and  any  other  shares ranking equal to the 8%
Convertible  Preference  Shares as to dividends and (2) we pay or set aside cash
or  additional  shares of 8% Convertible Preference Shares in amounts sufficient
to  pay  the  dividend  for  the  current  dividend period. In any event, we may
purchase  or  acquire  ordinary  shares  or  shares  ranking  junior  to  the 8%
Convertible  Preference  Shares  as to dividend or liquidation rights either (A)
pursuant  to an employee or director incentive or benefit plan or arrangement or
(B)  in  exchange  solely  for  junior  shares.

     So long as the 8% Convertible Preference Shares are outstanding, we may not
redeem  or  purchase  any  Triton  shares  ranking  equal  to the 8% Convertible
Preference  Shares  as  to  dividend  or  liquidation  rights,  or  make  any
distributions as to these shares, unless we have paid, or concurrently pay, full
dividends  on  all  outstanding  8%  Convertible  Preference  Shares.

     Conversion.  Holders of  8% Convertible Preference Shares have the right to
     ----------
convert  their 8% Convertible Preference Shares into ordinary shares at any time
before  redemption  at the conversion price in effect at the time of conversion.
The  current  conversion  price  is  $17.50  per  ordinary share so that each 8%
Convertible  Preference Share is convertible into four ordinary shares. Upon the
conversion  of  8% Convertible Preference Shares, the holder is also entitled to
receive  an  amount in cash equal to all accumulated and unpaid dividends on the
8%  Convertible  Preference  Shares  converted  through  the  effective  date of
conversion.

     If  we take any of the actions specified below, the conversion price of the
8%  Convertible  Preference  Shares  will  be automatically adjusted to make the
holders  of  the  8%  Convertible Preference Shares whole. The following actions
will  result  in  an  adjustment  to  the  conversion  price:

   - If  we  pay  a  dividend or make a distribution in ordinary shares or other
     capital  shares  that  are  convertible  into or exercisable or
     exchangeable for ordinary  shares,

   - If  we  (1) subdivide our outstanding ordinary shares into a greater number
     of  shares, (2) combine our outstanding ordinary shares into a smaller
     number of shares  or  (3)  issue  any  capital  shares by reclassification
     of our ordinary shares,

   - If we issue ordinary shares or any security convertible or exchangeable for
     ordinary  shares  at  a  price  less  than  the then current market price
     of the ordinary shares, except pursuant to management incentive plans or
     employee stock compensation  plans,

   - If  we  issue rights, options, warrants or other instruments to all holders
     of  ordinary shares or any other class or series of our capital shares
     entitling them to subscribe for or purchase ordinary shares at a price per
     share less than the  then  current  market  price  of  the  ordinary
     shares,  and

   - If  we  distribute  to  all holders of ordinary shares assets or securities
     other  than  those  described  above,  including  debt  securities.



     Redemption.  We  cannot  redeem the 8% Convertible Preference Shares before
     ----------
September  30,  2001.  Beginning  September 30, 2001, we can redeem all, but not
less  than  all,  of  the  outstanding  8%  Convertible Preference Shares if the
average market value of the ordinary shares as calculated below is above certain
market  values.  The  redemption price is equal to $70 per share, plus an amount
equal  to  all  accumulated  but  unpaid  dividends,  and  is  payable  in cash.

     The  average  market  value is determined by averaging the closing price of
the ordinary shares for the 20 trading days preceding the delivery of the notice
of  redemption.  We may only redeem the 8% Convertible Preference Shares if this
average  market  value  exceeds  the  average  market value corresponding to the
six-month  period  set  forth  below:


<TABLE>
<CAPTION>

Redemption Notice Given on the Six Months Ending:  Average Market Value
<S>                                                <C>
March 31, 2002                                     $     28.54
September 30, 2002                                       31.14
March 31, 2003                                           34.20
September 30, 2003                                       37.58
March 31, 2004                                           32.57
September 30, 2004                                       34.97
March 31, 2005                                           37.60


</TABLE>


     Beginning April 1, 2005, the minimum average market value will be increased
every  six months to reflect an internal rate of return of 20% assuming a holder
purchased  8%  Convertible  Preference Shares on September 30, 1998. The minimum
average  market  values  set  forth  above  will be adjusted in the event of any
combination,  subdivision or reclassification of ordinary shares, or any similar
event.


     Liquidation  Rights.  The  liquidation  preference  of  the  8% Convertible
     -------------------
Preference  Shares  is  $70  per  share,  plus accumulated and unpaid dividends.
     -


     Voting  Rights.  The  holders  of  the  8%  Convertible  Preference  Shares
     --------------
generally  vote  with  the holders of the ordinary shares on all matters brought
     ---
before  our  shareholders.  In  addition,  the  holders  of  the  8% Convertible
Preference Shares will be entitled to elect two directors of Triton if we do not
pay  dividends  on  the  8%  Convertible  Preference  Shares  under  certain
circumstances.

     The  rights  of  the  8%  Convertible  Preference  Shares may not be varied
without  the consent of the holders of at least two thirds of the 8% Convertible
Preference  Shares represented in person or by proxy at a duly convened meeting,
voting  separately  as  a  class.  We cannot create a class of equity securities
ranking  senior  to  the  8%  Convertible  Preference  Shares  as to dividend or
liquidation  rights,  other than out of our existing authorized shares of "blank
check"  preference  shares,  or  adopt  charter  amendments materially adversely
affecting  the  rights  of  the  8%  Convertible  Preference Shares, without the
consent  of the holders of at least two-thirds of the outstanding 8% Convertible
Preference  Shares.  In addition, we cannot increase the authorized number of 8%
Convertible  Preference  Shares,  or create a class of equity securities ranking
equal  to  the  8%  Convertible  Preference Shares as to dividend or liquidation
rights,  other  than  out  of  our  existing  authorized shares of "blank check"
preference  shares, without the consent of the holders of at least a majority of
the  outstanding  8%  Convertible  Preference  Shares.



     When  voting with the holders of the ordinary shares, the holders of the 8%
Convertible  Preference Shares have the number of votes for each share that they
would  have  if  they  had  converted  their  shares into ordinary shares on the
related  record  date. When voting as a class, the holders of the 8% Convertible
Preference  Shares  have  one  vote  per  share.


     Shareholders  Agreement. We have entered into a shareholders agreement with
     -----------------------
HM4  Triton,  L.P.  The shareholders agreement provides that, in general, for so
long  as the entire board of directors consists of ten members, HM4 Triton, L.P.
may  designate  four  nominees  for election to the board of directors, with any
fractional directorship rounded up to the next whole number. If HM4 Triton, L.P.
transfers  its 8% Convertible Preference Shares, it may also assign its right to
designate  Triton  directors for nomination. The number of designees HM4 Triton,
L.P.  may designate will increase or decrease proportionately with any change in
the  total number of members of the board of directors. The right of HM4 Triton,
L.P.  and  its  designated transferees to designate nominees for election to the
board  of directors will be reduced if the number of ordinary shares held by HM4
Triton,  L.P.  and  its  affiliates  represents  less  than  certain  specified
percentages of the number of shares HM4 Triton, L.P. purchased from us under the
stock  purchase agreement between HM4 Triton, L.P. and us. These percentages are
calculated  assuming  HM4  Triton,  L.P.  converts  all  of  its  8% Convertible
Preference  Shares  into  ordinary  shares.

     In  the  shareholders  agreement,  we  also  agreed  that we would not take
specified  fundamental corporate actions without the consent of HM4 Triton, L.P.
Some  of  the  actions  that would require HM4 Triton, L.P.'s consent are listed
below:


   - entering  into  a  merger  or  similar business combination transaction, or
effecting  a  reorganization,  recapitalization or other transaction pursuant to
which  a  majority  of  the  outstanding  ordinary  shares or any 8% Convertible
Preference  Shares  are  exchanged  for  securities,  cash  or  other  property;

   - authorizing,  creating  or modifying the terms of any securities that would
rank  equal  to  or  senior  to  the  8%  Convertible  Preference  Shares;

   - selling assets comprising more than 50% of our market value;

   - paying dividends on our ordinary shares;

   - incurring certain levels of debt; and

   - commencing a tender offer or exchange offer for any of our ordinary shares.

5% Convertible Preference Shares


     Dividends.  We  are  required  to  pay  dividends  on  the  5%  Convertible
     ---------
Preference  Shares  semi-annually  at  the  rate  of  5%  per year of the $34.41
redemption  price per share for each semi-annual dividend period on March 30 and
September 30 of each year. Dividends on the 5% Convertible Preference Shares are
cumulative.

     If  we  do  not  pay  the  dividend on the 5% Convertible Preference Shares
within  15  days  after  a  dividend  payment  date, dividends payable on the 5%
Convertible  Preference Shares will be increased by an amount equal to the prime
rate  of  Morgan Guaranty Trust Company of New York as in effect plus 1% applied
against  the  amount  of  unpaid  dividends  until  the  dividends  are  paid.


     The  5%  Convertible  Preference  Shares have priority as to dividends over
ordinary shares and any other class or series of shares ranking junior to the 5%
Convertible  Preference  Shares. We may not pay a dividend, other than dividends
payable solely in shares ranking junior to the 5% Convertible Preference Shares,
or  make  any  other distribution on any ordinary shares or other shares ranking
junior to the 5% Convertible Preference Shares unless we have paid all dividends
on  the  5%  Convertible  Preference  Shares. We may not pay dividends on the 5%
Convertible  Preference Shares or on any class or series of shares ranking equal
to  the  5%  Convertible  Preference Shares unless we have paid, or concurrently
pay,  all  accrued  and  unpaid  dividends  for  all  prior  periods  on  the 5%
Convertible  Preference Shares or the class or series of shares ranking equal to
the 5% Convertible Preference Shares, as the case may be. If we have not paid in
full any accrued dividends on the 5% Convertible Preference Shares and any class
or  series  of  shares ranking equal to the 5% Convertible Preference Shares, we
must  pay  any  dividends  on  the  5%  Convertible  Preference Shares and those
equally-ranked  shares so that the amount of dividends declared per share on the
5%  Convertible  Preference Shares and those equally-ranked shares will bear the
same  ratio  that  accrued  and unpaid dividends per share on the 5% Convertible
Preference  Shares  and  the  equally-ranked  shares  bear  to  each  other.

     If we fail to pay dividends on any senior-ranked shares at any time, we may
not  pay  any  dividends  on  the  5%  Convertible  Preference  Shares.  The  8%
Convertible  Preference  Shares  rank  senior  as  to  dividends  over  the  5%
Convertible  Preference  Shares.

     Conversion.  Holders  of 5% Convertible Preference Shares have the right to
     ----------
convert  their 5% Convertible Preference Shares into ordinary shares at any time
before  redemption.  Currently,  each  5%  Convertible  Preference  Share  is
convertible  into  one ordinary share. No payment or adjustment will be made for
accrued  or  unpaid  dividends  on  the  5%  Convertible  Preference Shares upon
conversion  of  5%  Convertible  Preference  Shares  except  under  certain
circumstances.

     If  we  take  specified actions, the conversion price of the 5% Convertible
Preference  Shares  will be automatically adjusted to make the holders of the 5%
Convertible  Preference  Shares  whole.  The following actions will result in an
adjustment  to  the  conversion  price:

   - If  we pay a dividend or make a distribution of ordinary shares, divide the
     outstanding  ordinary  shares  into  a  greater  number  of  shares,
     combine the outstanding ordinary shares into a smaller number of shares,
     make a distribution on  our  ordinary shares in shares other than ordinary
     shares, or reclassify our ordinary  shares,

   - If  we  distribute  any  rights  or warrants to all holders of our ordinary
     shares entitling them for a period expiring within 60 days after the record
     date to  purchase  ordinary  shares at a price per share less than the
     average market price  per  share  on that record date. The average market
     price of the ordinary shares  is determined by averaging the closing price
     of the ordinary shares over the  most  recent  five  trading  days,  and

   - If  we  distribute to all holders of our ordinary shares any assets or debt
     securities  or  any  rights  or warrants to purchase securities. This
     adjustment does  not  apply  to  cash  dividends  or distributions paid out
     of consolidated current  or  retained  earnings  as  shown  on  our  books.



     Redemption.  We can redeem the 5% Convertible Preference Shares at any time
     ----------
in  whole or in part. The redemption price is equal to $34.41 per share, plus an
amount  equal  to  all accumulated but unpaid dividends, and is payable in cash.

     If  any 5% Convertible Preference Shares are outstanding on March 30, 2004,
we  are  required to redeem the 5% Convertible Preference Shares. In this event,
we  may  redeem  the  5%  Convertible  Preference  Shares  by

   - paying  cash at the $34.41 redemption price plus all accumulated and unpaid
     dividends  to  the  redemption  date;

   - issuing to the holder a number of ordinary shares with a market value equal
     to  the $34.41 redemption price plus all accumulated and unpaid dividends
     to the redemption  date;  or

   - a  combination  of  cash  or ordinary shares equal to the $34.41 redemption
     price  plus  all  accumulated  and  unpaid  dividends  to  the  redemption
     date.

     Liquidation  Rights.  The  liquidation  preference  of  the  5% Convertible
     -------------------
Preference  Shares  is  $34.41 per share, plus accumulated and unpaid dividends.

     Voting  Rights.  Except  as  described  below  and as required under Cayman
     --------------
Islands  law, the holders of the 5% Convertible Preference Shares generally have
no  voting  rights.  So  long  as  any  5%  Convertible  Preference  Shares  are
outstanding,  the  consent  of  the  holders  of  at  least  two-thirds  of  the
outstanding  5% Convertible Preference Shares is required if we issue other than
wholly for cash consideration, any shares of any class of shares that would rank
senior  to  the  5%  Convertible  Preference  Shares  in dividend or liquidation
rights,  or  if  we  propose  to  amend  our articles of association in a manner
adversely  affecting  the rights of the holders of the 5% Convertible Preference
Shares. However, we may amend our articles of association to increase the number
of  authorized  shares  of  Triton's  preference  shares without the vote of the
holders  of  the  outstanding 5% Convertible Preference Shares. When voting as a
class,  the  holders  of  the 5% Convertible Preference Shares have one vote per
share.

SHAREHOLDER  RIGHTS  PLAN

     We  have  adopted  a  shareholder  rights plan. Under this plan, preference
share  rights  attach  to  all ordinary shares at the rate of one right for each
ordinary  share.  Each  right  entitles the ordinary shareholder to purchase one
one-thousandth of our Series A Junior Participating Preference Shares, par value
$.01  per  share  ("Junior  Preference  Shares"),  at  a  price  of $120 per one
one-thousandth  of  a Junior Preference Share, subject to adjustment. Generally,
the  rights only become distributable 10 days following public announcement that
a person has acquired beneficial ownership of 15% or more of our ordinary shares
or  10  business days following commencement of a tender offer or exchange offer
for  15% or more of our outstanding ordinary shares. If, among other events, any
person  becomes the beneficial owner of 15% or more of our ordinary shares, each
right  not owned by that person generally becomes the right to purchase a number
of ordinary shares equal to the number obtained by dividing the right's exercise
price,  currently $120, by 50% of the market price of the ordinary shares on the
date  of  the  first  occurrence.  In addition, if we are subsequently merged or
certain  other  extraordinary  business transactions are consummated, each right
generally  becomes a right to purchase a number of shares of common stock of the
acquiring  person  equal to the number obtained by dividing the right's exercise
price  by  50%  of the market price of the common stock on the date of the first
occurrence.  Pursuant to the terms of the plan, any acquisition of Triton shares
by  HM4  Triton,  L.P.  or its affiliates will not result in the distribution of
rights unless and until HM4 Triton, L.P.'s ownership of Triton shares is reduced
below  certain  levels.

     Under  certain  circumstances,  our board of directors may determine that a
tender  offer  or  merger is fair to all our shareholders and prevent the rights
from  being  exercised. At any time after a person or group acquires 15% or more
of  the  ordinary shares outstanding and prior to the acquisition by that person
or  group  of  50%  or  more  of  the  outstanding ordinary shares, our board of
directors  may exchange the rights, in whole or in part, at an exchange ratio of
one  ordinary  share,  or  one  one-thousandth of a Junior Preference Share, per
right, subject to adjustment. The board of directors may not exchange the rights
owned  by  the  person  or  group  who  acquired  50% or more of the outstanding
ordinary  shares.  Their  rights  will  become  void.

     We  can  amend the rights, except the redemption price, in any manner prior
to  the  public  announcement  that a 15% position has been acquired or a tender
offer  has  been  commenced.  We can redeem the rights at $0.01 per right at any
time  prior  to  the time that a 15% position has been acquired. The rights will
expire  on  May  22,  2005,  unless  we  redeem  the  rights  before  then.

     Any  Junior  Preference  Shares we issue pursuant to the shareholder rights
plan will rank junior as to dividends and liquidation to both the 8% Convertible
Preference  Shares  and  the  5%  Convertible  Preference  Shares.  Each  Junior
Preference  Share  will be entitled, if we so declare, to a minimum preferential
quarterly  dividend payment of $1 per share but will be entitled to an aggregate
dividend  of  1,000  times  the  dividend  declared  per  ordinary  share. If we
liquidate,  the  holders  of  the Junior Preference Shares will be entitled to a
minimum  preferential  liquidation payment of $1,000 per share (plus any accrued
but  unpaid  dividends)  but  will  be entitled to an aggregate payment of 1,000
times  the  payment  made  per ordinary share. Each Junior Preference Share will
have  1,000  votes,  voting  together with ordinary shares. Finally, if ordinary
shares  are  converted or exchanged in connection with any merger, consolidation
or  other  transaction, each Junior Preference Share will be entitled to receive
1,000  times  the  amount  received  per  ordinary  share.

     The  resolutions  establishing  the  terms  of the Junior Preference Shares
provide  that  the  rights  of  the  Junior  Preference  Shares described in the
preceding  paragraph will be adjusted if we declare any dividend on the ordinary
shares payable in ordinary shares, subdivide the outstanding ordinary shares, or
combine  the  outstanding  ordinary  shares  into  a  smaller  number of shares.



ORDINARY  SHARES

     General.  Under  our  articles  of  association, we are authorized to issue
200,000,000 ordinary shares. There were ____________ ordinary shares outstanding
as  of  ____________,  1999.


     Voting  and  Other  Rights.  Holders of ordinary shares are entitled to one
vote  for  each  share  held on all matters submitted to shareholders' meetings,
including the election and removal of directors. Holders of ordinary shares vote
together as a single class with any voting preference shares unless the terms of
any  voting  preference shares or the articles of association otherwise provide.
The  holders  of  the 8% Convertible Preference Shares are entitled to vote with
the holders of ordinary shares. The quorum required for a general meeting of the
shareholders  is  a  majority  of the outstanding shares entitled to vote at the
meeting.  We  must  give  at  least  10  days'  notice  of  a  general  meeting.


     All  matters  voted  upon  at  any duly held shareholders' meeting shall be
carried  by  a majority of the votes cast at the meeting by shareholders present
in  person  or  by  proxy  at  a  duly  convened  meeting,  except  that

   - directors  are  elected  by  plurality  vote;

   - approval  of a merger or a similar arrangement requires the approval by 75%
     of  the  votes  cast,  but,  in any event at least a majority of the
     outstanding shares;  and

   - approval  of  a  "special resolution," as defined under Cayman Islands law,
     requires  the  approval of at least two-thirds of the votes cast by
     shareholders present  in  person  or  by  proxy  at  a  duly  convened
     meeting.

     Our  shareholders  must  adopt  by  a "special resolution"  a resolution to
approve  a  change of the corporate name, the voluntary dissolution, liquidation
or  winding-up  of  the affairs of Triton, a reduction of paid-up share capital,
and  any  amendment  to  our  memorandum  or  articles  of  association.


     Because shareholders are not entitled to cumulate their votes, shareholders
holding  a  majority  of  the  outstanding ordinary shares, voting together as a
class  with the holders of any outstanding voting preference shares, are able to
elect  all members of our board of directors. Our directors are elected in three
classes  of approximately equal number and for a term of three years. Therefore,
shareholders  will  not  vote for the election of a majority of directors in any
single  year.  Holders  of  ordinary  shares  have  no  preemptive  rights.


     Unless  the  terms of any class of our shares otherwise provide, we may not
change  the rights of a class of shares unless the change is approved by all the
holders  of  that class in writing or is approved at a meeting of the holders of
the  class  by a special resolution. Unless otherwise provided in the terms of a
class  of  shares,  the  rights of the class will not be deemed varied if we (1)
allot other shares which confer on their holders more favorable voting rights or
(2)  create  or  issue  other shares with preferential rights as to dividends or
capital.



     Neither  Cayman  Islands  law  nor  the  articles of association impose any
limitation  on  the  right of nonresident holders to hold or vote their ordinary
shares.


     Dividend  Rights.  The  holders  of  ordinary  shares  are only entitled to
receive  dividends if declared by the board of directors. We currently intend to
retain  earnings  for  use  in  our  business  and  the financing of our capital
requirements.  The payment of any future cash dividends is necessarily dependent
upon  our  earnings  and  financial  needs,  along  with  applicable  legal  and
contractual  restrictions.  Our  shareholders  agreement  with  HM4 Triton, L.P.
prohibits  us  from  paying dividends on the ordinary shares without HM4 Triton,
L.P.'s  consent.

     Liquidation.  If Triton ever liquidates, dissolves or winds up its business
and  a  shareholder  has any outstanding obligation to Triton, whether presently
payable  or  not,  the  liquidator appointed to oversee Triton's liquidation may
deduct  from  any  amount payable to that shareholder in respect of his ordinary
shares  the amount of the obligation. The liquidator may distribute, in kind, to
the  holders  of  the ordinary shares remaining assets of Triton. Alternatively,
the  liquidator may dispose of all or any part of the remaining assets for cash,
or  other  property,  and may sell all or any part of the consideration, and may
distribute  the  consideration received or any balance or proceeds to holders of
the ordinary shares. The liquidator may vest the whole or any part of the assets
in  trust  as  the  liquidator  thinks  fit,  so  long as no shareholder has any
liability.

                             DESCRIPTION OF WARRANTS

     We  may  issue  warrants  to purchase debt securities, preference shares or
ordinary  shares.  We may issue warrants independently of or together with these
securities.  We  will  issue  each  series  of warrants under a separate warrant
agreement  to be entered into between us and a bank or trust company, as warrant
agent.  The  warrant  agent  will act solely as our agent in connection with the
warrants  and  will not assume any obligation or relationship of agency or trust
for  or  with  any  registered  holders  or  beneficial owners of warrants. This
summary  of  certain provisions of the warrants and the warrant agreement is not
complete.  You  should  refer  to the warrant agreement relating to the specific
warrants  being offered, including the forms of warrant certificate representing
the  specific  warrants,  for  the  complete  terms. We will file the applicable
warrant  agreement,  together with the form of warrants, with the SEC before the
offering  of  the  specific  warrants.

     Each  Warrant  will  entitle the holder to purchase the principal amount of
debt  securities  or  the  number of preference shares or ordinary shares at the
exercise  price  set  forth  in,  or  calculable as set forth in, the applicable
prospectus  supplement. The exercise price may be subject to adjustment upon the
occurrence  of  certain  events,  as  set  forth  in  the  applicable prospectus
supplement.  After the close of business on the expiration date of the warrants,
unexercised  warrants  will  become void. We will also specify in the applicable
prospectus  supplement  the  place  or  places  where,  and the manner in which,
warrants  may  be  exercised.

     Prior  to  the  exercise  of any warrants, holders of the warrants will not
have  any  of the rights of holders of the debt securities, preference shares or
ordinary  shares,  as  the  case  may  be,  purchasable  upon  exercise of those
warrants.  For example, holders of warrants  for the purchase of debt securities
will  not  have  the  right  to receive payments of principal of, and premium or
interest, if any, on the debt securities purchasable upon exercise or to enforce
covenants  in the applicable indenture, and holders of warrants for the purchase
of  preference  shares  or  ordinary  shares  will not have the right to receive
payments  of  dividends,  if  any,  on  the preference shares or ordinary shares
purchasable  upon  exercise  or  to  exercise  any  applicable  right  to  vote.

                              PLAN OF DISTRIBUTION

     We  may  sell  the  debt  securities, preference shares, depositary shares,
ordinary  shares  and  warrants  being  offered  by  using  this  prospectus:


   - to or through underwriters;

   - to or through dealers;

   - through agents;

   - through rights offerings; or

   - directly to purchasers.

    We will set forth the terms of the offering of any securities being offered
in the applicable prospectus supplement.

     If  we  utilize  underwriters  in  an  offering  of  securities  using this
prospectus,  we  will execute an underwriting agreement with those underwriters.
The underwriting agreement will provide that the obligations of the underwriters
with  respect  to  a  sale  of  the  offered  securities  are subject to certain
conditions precedent and that the underwriters will be obligated to purchase all
the  offered  securities  if  any  are  purchased.  Underwriters  may sell those
securities to or through dealers. The underwriters may change any initial public
offering  price and any discounts or concessions allowed or reallowed or paid to
dealers  from  time  to  time.  If  we  utilize  underwriters  in an offering of
securities  using  this  prospectus,  the  applicable prospectus supplement will
contain a statement regarding the intention, if any, of the underwriters to make
a  market  in  the  offered  securities.

     If  we utilize a dealer in an offering of securities using this prospectus,
we  will sell the offered securities to the dealer, as principal. The dealer may
then resell those securities to the public at a fixed price or at varying prices
to  be  determined  by  the  dealer  at  the  time  of  resale.


     We may also, from time to time, authorize underwriters acting as our agents
to offer and sell securities upon terms and conditions that are set forth in the
applicable  prospectus  supplement.


     Underwriters,  dealers  or  agents  participating  in  a  distribution  of
securities  by  use of this prospectus may be deemed to be underwriters, and any
discounts  and  commissions  received by them and any profit realized by them on
resale of the offered securities, whether received from us or from purchasers of
offered  securities for whom they act as agent, may be deemed to be underwriting
discounts  and  commissions  under  the  Securities  Act  of  1933.


     Under  agreements  that  we may enter into, we may be required to indemnify
underwriters,  dealers  or  agents  who  participate  in  the  distribution  of
securities  by  use  of  this  prospectus against certain liabilities, including
liabilities under the Securities Act of 1933, or to contribution with respect to
payments  that  those  underwriters,  dealers or agents may be required to make.



     We may offer to sell securities either at a fixed price or prices which may
be  changed,  at market prices prevailing at the time of sale, at prices related
to  prevailing  market  prices  or  at  negotiated  prices.

     We  may  also  use  this  prospectus to directly solicit offers to purchase
securities. Except as set forth in the applicable prospectus supplement, none of
our  directors,  officers,  or employees will solicit or receive a commission in
connection  with  those  direct sales. Those persons may respond to inquiries by
potential  purchasers  and  perform  ministerial and clerical work in connection
with  direct  sales.

     We  may  authorize  underwriters,  dealers  and agents to solicit offers by
certain  institutions  to  purchase  securities  pursuant  to  delayed  delivery
contracts  providing  for payment and delivery on a future date specified in the
applicable  prospectus  supplement.  Institutions  with  which  delayed delivery
contracts may be made include commercial and savings banks, insurance companies,
educational  and  charitable institutions and other institutions we may approve.
The obligations of any purchaser under any delayed delivery contract will not be
subject  to any conditions except that any related sale of offered securities to
underwriters  shall  have  occurred  and  the  purchase by an institution of the
securities  covered  by  its  delayed delivery contract shall not at the time of
delivery  be  prohibited under the laws of any jurisdiction in the United States
to  which  that  institution  is  subject.

                       WHERE YOU CAN FIND MORE INFORMATION
                                  ABOUT TRITON

     We  file  annual, quarterly and current reports, proxy statements and other
information  with  the  Securities  and Exchange Commission (the "SEC"). You may
read  and copy any document we file by visiting the SEC's public reference rooms
in Room 1024, Judiciary Plaza, 450 Fifth Street, N.W., Washington, D.C. 20549, 7
World  Trade  Center, Suite 1300, New York, New York 10048, and Citicorp Center,
500  West  Madison  Street,  Suite 1400, Chicago, Illinois 60661. You may obtain
information regarding the operation of the public reference rooms by calling the
SEC  at  1-800-SEC-0330. Our SEC filings are also available over the Internet at
the  SEC's  web site at http://www.sec.gov. You may also inspect our SEC reports
and other information at the New York Stock Exchange, Inc., 20 Broad Street, New
York,  New  York  10005.

     We  have  filed  a registration statement on Form S-3 with the SEC covering
the  securities.  For  further  information on Triton and the securities, please
refer to our registration statement and its exhibits. We have included copies of
these  documents  as  exhibits  to  our  registration  statement  of  which this
prospectus  is  a  part.



                INCORPORATION OF INFORMATION WE FILE WITH THE SEC

     The  SEC  allows  us to "incorporate by reference" into this prospectus the
information  we  file  with  it.  This  means  that  we  can  disclose important
information  to  you  by  referring  you  to  those  documents.  The information
incorporated by reference is considered to be a part of this prospectus, and any
later  information  that  we  file  with  the SEC will update and supersede this
information.  We  incorporate  by  reference  the documents listed below and any
future  filings we make with the SEC under Section 13(a), 13(c), 14, or 15(d) of
the  Securities  Exchange  Act  of  1934  until  our  offering  is  completed:



   (i) Annual Report on Form 10-K for the year ended December 31, 1998
(SEC file number 1-11675),

   (ii) Quarterly Report on Form 10-Q for the quarter ended March 31, 1999
(SEC file number 1-11675);

   (iii) Quarterly Report on Form 10-Q for the quarter ended June 30, 1999
(SEC file number 1-11675); and

   (iv)  the  description  of  the  ordinary  shares  contained  in  Triton's
Registration  Statement  on  Form  8-A  dated March 25, 1996, as amended by Form
8-A/A,  dated  August 14, 1996, Form 8-A/A dated October 2, 1998, and Form 8-A/A
dated  January  31,  1999  (SEC  file  number  1-11675).



     You  should  rely  only  on  the  information  incorporated by reference or
provided  in  this  prospectus and the applicable prospectus supplement. We have
not  authorized  anyone  to  provide  you with information that is different. If
anyone  provides  you with different or inconsistent information, you should not
rely  on  it. We are not making an offer of securities in any jurisdiction where
the  offer  or sale is not permitted. You should not assume that the information
in this prospectus or the applicable prospectus supplement is accurate as of any
date  other  than  the  date  on  the  front  of  the  document.

     You  may  request  a  copy of any of the documents that are incorporated by
reference  in  this  prospectus,  at  no  cost,  by writing or telephoning us as
follows: Triton Energy, Investor Relations, 6688 North Central Expressway, Suite
1400,  Dallas,  Texas  75206-9926,  telephone  (214)  691-5200.

                                     EXPERTS

     The  audited  financial  statements  incorporated  in  this  prospectus  by
reference to our Annual Report on Form 10-K for the year ended December 31, 1998
have  been incorporated in reliance on the report of PricewaterhouseCoopers LLP,
independent  accountants,  given  on  the  authority  of that firm as experts in
auditing  and  accounting.

     Certain  information with respect to the gas and oil reserves of Triton and
its  subsidiaries  derived  from  the  report  of  DeGolyer  and  MacNaughton,
independent  petroleum  engineers,  has  been incorporated in this prospectus by
reference  in  reliance  upon  such  firm as experts with respect to the matters
contained  therein.

                                 LEGAL OPINIONS

     W.S.  Walker  &  Company,  Grand  Cayman,  Cayman  Islands, will provide an
opinion for us regarding the validity of the Offered Securities. Attorneys to be
designated  by  any  underwriters  will  provide  such  an  opinion  for  the
underwriters.


                                     PART II

                     INFORMATION NOT REQUIRED IN PROSPECTUS

ITEM  14.  OTHER  EXPENSES  OF  ISSUANCE  AND  DISTRIBUTION.

     The  estimated  expenses  payable by Triton Energy Limited ("Triton" or the
"Company")  in  connection  with  the  offering  described  in this Registration
Statement  are  as  follows:


<TABLE>
<CAPTION>

<S>                                                  <C>
Registration Fee                                     $ 69,500
Legal fees and expenses                                75,000
Blue Sky fees and expenses                             10,000
Accounting fees and expenses                           30,000
Fees and expenses of Trustee and counsel               15,000
Printing and duplication expenses                     150,000
Miscellaneous expenses                                  5,000
                                                     --------

Total                                                $354,500

</TABLE>

ITEM 15. INDEMNIFICATION OF DIRECTORS AND OFFICERS.


     Triton  is a Cayman Islands company. Article XXXIII of Triton's Articles of
Association  contains  provisions  with  respect  to indemnification of Triton's
officers  and directors. Such provisions provide that Triton shall indemnify, in
accordance  with  and  to the full extent now or hereafter permitted by law, any
person  who  was  or  is  a  party  or  is  threatened to be made a party to any
threatened,  pending  or  completed  action,  suit or proceeding, whether civil,
criminal,  administrative  or  investigative  (including, without limitation, an
action  by  or  in  the right of Triton), by reason of his acting as a director,
officer,  employee  or  agent  of, or his acting in any other capacity for or on
behalf  of,  Triton,  against  any  liability or expense actually and reasonably
incurred  by  such  person  in  respect  thereof.  Triton shall also advance the
expenses of defending any such act, suit or proceeding in accordance with and to
the  full  extent  now  or  hereafter permitted by law. Such indemnification and
advancement  of expenses are not exclusive of any other right to indemnification
or  advancement  of  expenses  provided  by  law  or  otherwise. The Articles of
Association  also  provide that except under certain circumstances, directors of
Triton shall not be personally liable to Triton or its shareholders for monetary
damages  for  breach  of  fiduciary  duties  as  a  director.

     The  Companies  Law  (1995 Revision) of the Cayman Islands does not set out
any  specific  restrictions on the ability of a company to indemnify officers or
directors. However, the application of basic principles and certain Commonwealth
case  law which is likely to be persuasive in the Cayman Islands, would indicate
that indemnification is generally permissible except in the event that there had
been fraud or willful default on the part of the officer or director or reckless
disregard  of  his  duties  and  obligations  to  Triton.




ITEM  16.  EXHIBITS.

Exhibit

<TABLE>
<CAPTION>
<S>               <C>
 No.              Description of Exhibit
- ----              ----------------------

1.1        *      Form of Underwriting Agreement (Debt Securities and Warrants to Purchase
                  Debt Securities). (previously filed as Exhibit 1.2 to the Company's Registration
                  Statement on Form S-3 (No. 333-11703) and incorporated herein by reference)
1.2        *      Form of Underwriting Agreement (Equity Securities and Warrants
                  to Purchase Equity Securities). (previously filed as Exhibit 1.3 to the Company's
                  Registration Statement on Form S-3 (No. 333-11703) and incorporated herein by
                  reference)
4.1        *      Form of Debt Securities.
4.2        *      Form of Senior Debt Indenture
4.3        *      Form of Senior Subordinated Debt Indenture
4.4        *      Form of Subordinated Debt Indenture
4.5        *      Form of Warrant Agreement for Preference Shares and Ordinary
                  Shares (including form of Warrant Certificate). (previously filed as Exhibit 4.8 to
                  the Company's Registration Statement on Form S-3 (No. 333-11703) and
                  incorporated herein by reference)
4.6        *      Form of Warrant Agreement for Debt Securities (including form
                  of Warrant Certificate) (previously filed as Exhibit 4.8 to the Company's
                  Registration Statement on Form S-3 (No. 333-11703) and incorporated herein
                  by reference)
5.1       **      Opinion of Simpson Thacher & Bartlett.
5.2       **      Opinion of W.S. Walker & Company.
12.1       *      Computation of Ratio of Earnings to Fixed Charges (incorporated by reference
                  to Exhibit 12.1 to the Company's Quarterly Report on Form
                  10-Q for the Quarter ended March 31, 1999 (the "Form 10-Q")).
12.2       *      Computation of Ratio of Earnings to Combined Fixed Charges and Preferred
                  Dividends (incorporated by reference to Exhibit 12.2 to the Form 10-Q).
23.1              Consent of PricewaterhouseCoopers LLP.
23.2       *      Consent of DeGolyer and MacNaughton.
23.3      **      Consent of Simpson Thacher & Bartlett.
23.4      **      Consent of W.S. Walker & Company.
25.1       *      Power of Attorney
- -----------------
*      Previously filed
**     To be filed by amendment.
</TABLE>


ITEM 17. UNDERTAKINGS.

     The undersigned registrant hereby undertakes:


     (1)  To  file, during any period in which offers or sales are being made, a
post  effective  amendment  to  this  registration  statement:

     (i)  To  include  any  prospectus  required  by  section  10(a)(3)  of  the
Securities  Act  of  1933,  as  amended  (the  "Securities  Act");

     (ii)  To  reflect  in  the prospectus any facts or events arising after the
effective  date of the registration statement (or the most recent post-effective
amendment  thereof)  which,  individually  or  in  the  aggregate,  represent  a
fundamental  change  in the information set forth in the registration statement.
Notwithstanding  the foregoing, any increase or decrease in volume of securities
offered  (if  the total dollar value of securities offered would not exceed that
which  was  registered)  and  any  deviation  from  the  low  or high end of the
estimated  maximum  offering  range  may  be reflected in the form of prospectus
filed  with  the  Commission  pursuant  to Rule 462(b) if, in the aggregate, the
changes  in  volume  and  price  represent no more than 20 percent change in the
maximum  aggregate offering price set forth in the " Calculation of Registration
Fee"  table  in  the  effective  Registration  Statement;  and

     (iii)  To  include  any  material  information  with respect to the plan of
distribution  not  previously  disclosed  in  the  registration statement or any
material  change  to  such  information  in  the  registration  statement;

provided,  however,  that  paragraph  (1)(i)  and  (1)(ii) above do not apply if
information  required  to  be  included  in  a post-effective amendment by those
paragraphs is contained in periodic reports filed by the registrants pursuant to
section  13  or section 15(d) of the Securities Exchange Act of 1934, as amended
(the  "Exchange  Act")  that  are  incorporated by reference in the registration
statement.

     (2) That, for the purpose of determining any liability under the Securities
Act, each such post-effective amendment shall be deemed to be a new registration
statement  relating  to the securities offered therein, and the offering of such
securities  at  that  time  shall be deemed to be the initial bona fide offering
thereof.

     (3)  To remove from registration by means of a post-effective amendment any
of the securities being registered which remain unsold at the termination of the
offering.

     The  undersigned  registrant  hereby  undertakes  that,  for  purposes  of
determining  any  liability  under the Securities Act, each filing of the Triton
Energy  Limited  annual report pursuant to section 13(a) or section 15(d) of the
Exchange  Act  (and, where applicable, each filing of an employee benefit plan's
annual  report  pursuant  to  section  15(d)  of  the  Exchange  Act)  that  is
incorporated  by reference in the registration statement shall be deemed to be a
new  registration  statement relating to the securities offered therein, and the
offering  of such securities at that time shall be deemed to be the initial bona
fide  offering  thereof.

     Insofar as indemnification for liabilities arising under the Securities Act
may  be  permitted  to  directors,  officers  and  controlling persons of Triton
pursuant to the foregoing provisions, or otherwise, Triton has been advised that
in the opinion of the Securities and Exchange Commission such indemnification is
against  public  policy  as  expressed  in the Securities Act and is, therefore,
unenforceable.  In  the  event  that  a  claim  for indemnification against such
liabilities  (other than the payment by Triton of expenses incurred or paid by a
director,  officer  or controlling person of Triton in the successful defense of
any  action,  suit  or  proceeding)  is  asserted  by  such director, officer or
controlling  person  in  connection with the securities being registered, Triton
will,  unless  in  the  opinion  of  its  counsel the matter has been settled by
controlling  precedent,  submit  to  a  court  of  appropriate  jurisdiction the
question  whether  such  indemnification  by  it  is  against  public  policy as
expressed  in  the Securities Act and will be governed by the final adjudication
of  such  issue.

The  undersigned  registrant  hereby  undertakes  to file an application for the
purpose  of  determining  the eligibility of the trustee to act under subsection
(a)  of  section  310  of the Trust Indenture Act ("Act") in accordance with the
rules  and regulations prescribed by the Commission under section 305(b)2 of the
Act.
<PAGE>

                                   SIGNATURES

     Pursuant to the requirements of the Securities Act of 1933, as amended, the
registrant certifies that it has reasonable grounds to believe that it meets all
of  the  requirements  for  filing  on  Form  S-3  and  have  duly  caused  this
Registration  Statement to be signed on its behalf by the undersigned, thereunto
duly  authorized  in  the  City  of Dallas, State of Texas, on August 11, 1999.


                                               TRITON ENERGY LIMITED


                                               By:/s/James C. Musselman
                                                  ---------------------
                                                  James C. Musselman,
                                                  President and Chief Executive
                                                  Officer and Authorized
                                                  Representative  in the
                                                  United States


                                                  /s/Bernard Gros-Dubois
                                                  ----------------------
                                                  Bernard Gros-Dubois
                                                  Vice President
                                                  (Principal Financial and
                                                   Accounting Officer)










<PAGE>
     Pursuant  to  the  requirements of the Securities Act, this Registration
Statement has been signed on August 11, 1999 by the following  persons  in
the  capacities indicated.


          SIGNATURE                         TITLE
          ---------                         -----


     *                              Chairman  of  the  Board  of  Directors
- -----------------------------
(Thomas  O.  Hicks)


     *                              President, Chief Executive Officer and
- -----------------------------       Director
(James C. Musselman)                (Principal Executive Officer)
[FN]


     *                              Director
- -----------------------------
(Sheldon  R.  Erikson)


- -----------------------------      Director
(Jack  D.  Furst)


     *                              Director
- -----------------------------
(Fitzgerald  S.  Hudson)


     *                              Director
- -----------------------------
(John  R.  Huff)


     *                              Director
- -----------------------------
(Michael  E.  McMahon)


     *                              Director
- -----------------------------
(Lamar  Norsworthy)


     *                              Director
- -----------------------------
(C.  Richard  Vermillion)


     *                              Director
- -----------------------------
(J.  Otis  Winters)



* By:  /s/Bernard Gros-Dubois
       ----------------------------------------
       Bernard Gros-Dubois, as attorney-in-fact





                                INDEX TO EXHIBITS


<TABLE>
<CAPTION>
<S>               <C>

Exhibit
 No.              Description of Exhibit
- ------            ----------------------

1.1        *      Form of Underwriting Agreement (Debt Securities and Warrants to Purchase
                  Debt Securities). (previously filed as Exhibit 1.2 to the Company's Registration
                  Statement on Form S-3 (No. 333-11703) and incorporated herein by reference)
1.2        *      Form of Underwriting Agreement (Equity Securities and Warrants
                  to Purchase Equity Securities). (previously filed as Exhibit 1.3 to the Company's
                  Registration Statement on Form S-3 (No. 333-11703) and incorporated herein by
                  reference)
4.1        *      Form of Debt Securities.
4.2        *      Form of Senior Debt Indenture
4.3        *      Form of Senior Subordinated Debt Indenture
4.4        *      Form of Subordinated Debt Indenture
4.5        *      Form of Warrant Agreement for Preference Shares and Ordinary
                  Shares (including form of Warrant Certificate). (previously filed as Exhibit 4.8 to
                  the Company's Registration Statement on Form S-3 (No. 333-11703) and
                  incorporated herein by reference)
4.6        *      Form of Warrant Agreement for Debt Securities (including form
                  of Warrant Certificate) (previously filed as Exhibit 4.8 to the Company's
                  Registration Statement on Form S-3 (No. 333-11703) and incorporated herein
                  by reference)
5.1       **      Opinion of Simpson Thacher & Bartlett.
5.2       **      Opinion of W.S. Walker & Company.
12.1       *      Computation of Ratio of Earnings to Fixed Charges (incorporated by reference
                  to Exhibit 12.1 to the Company's Quarterly Report on Form
                  10-Q for the Quarter ended March 31, 1999 (the "Form 10-Q")).
12.2       *      Computation of Ratio of Earnings to Combined Fixed Charges and Preferred
                  Dividends (incorporated by reference to Exhibit 12.2 to the Form 10-Q).
23.1              Consent of PricewaterhouseCoopers LLP.
23.2       *      Consent of DeGolyer and MacNaughton.
23.3      **      Consent of Simpson Thacher & Bartlett.
23.4      **      Consent of W.S. Walker & Company.
25.1       *      Power of Attorney
- -----------------
*   Previously filed
**  To be filed by amendment.
</TABLE>



                                                                   Exhibit 23.1



                       CONSENT OF INDEPENDENT ACCOUNTANTS
                       ----------------------------------



We  hereby  consent  to  the  incorporation  by  reference in this Pre-Effective
Amendment  No.  1  to  Registration Statement on Form S-3 (No. 333-81029) of our
report dated February 2, 1999 relating to the financial statements and financial
statement  schedule,  which  appears in Triton Energy Limited's Annual Report on
Form  10-K  for  the  year  ended  December  31,  1998.  We  also consent to the
reference  to  us  under  the headings "Experts" in such Registration Statement.




PricewaterhouseCoopers  LLP
Dallas,  Texas
August  11,  1999





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