HOUSTON EXPLORATION CO
424B3, 1998-06-16
OIL & GAS FIELD EXPLORATION SERVICES
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                                                  Filed Pursuant to Rule 424(c)
                                                    Registration No. 333-50235

                      SUPPLEMENT NO. 1 DATED JUNE 15, 1998
                        TO PROSPECTUS DATED MAY 15, 1998
                                   RELATING TO

                         THE HOUSTON EXPLORATION COMPANY

                                OFFER TO EXCHANGE

 $1,000 PRINCIPAL AMOUNT OF 8 5/8% SENIOR SUBORDINATED NOTES DUE 2008, SERIES B
                 FOR EACH $1,000 PRINCIPAL AMOUNT OF OUTSTANDING
               8 5/8% SENIOR SUBORDINATED NOTES DUE 2008, SERIES A
            ($100,000,000 IN AGGREGATE PRINCIPAL AMOUNT OUTSTANDING)

         All  capitalized  terms  used but not  defined  herein  shall  have the
meanings  ascribed to them in the Prospectus dated May 15, 1998,  forming a part
of the  Registration  Statement on Form S-4 of The Houston  Exploration  Company
(the  "Company"),  Registration  No.  333-50235.  Any  cross-references  in this
Supplement refer to portions of the Prospectus.  Capitalized  terms used without
definition  in this  Supplement  have the  meanings  given to such  terms in the
Prospectus.

         The purpose of this  Supplement  is to provide  additional  information
regarding the Exchange Offer. As contemplated by the description of the Exchange
Offer contained in the Prospectus  under "The Exchange  Offer--Expiration  Date;
Extensions;  Amendments,"  the Company has extended the  Expiration  Date of the
Exchange  Offer to 5:00  p.m.,  New  York  City  time,  on June  18,  1998.  All
references to the Expiration  Date in the Prospectus and this  Supplement  shall
refer to such extended  Expiration Date,  unless such date is further  extended.
The  Company  will  accept for  exchange  any and all Old Notes that are validly
tendered  and not  withdrawn  prior to 5:00  p.m.,  New York City  time,  on the
Expiration Date. Tenders of Old Notes may be withdrawn at any time prior to 5:00
p.m., New York City time, on the Expiration Date.



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