Exhibit 99.1


                                  NEWS RELEASE

                     ABRAXAS COMMENCES CONSENT SOLICITATION
                       OF THE HOLDERS OF ITS 11 1/2% NOTES

SAN  ANTONIO,  TX (June 3,  2004) -  Abraxas  Petroleum  Corporation  (AMEX:ABP)
announced today the  commencement of a consent  solicitation  relating to its 11
1/2% Secured Notes due May of 2007. The record date for the Consent Solicitation
is May 3, 2004.  As of the record date there was  approximately  $128.0  million
aggregate  principal  amount of the notes  outstanding.  Abraxas  is  soliciting
consents to modify the  covenant  currently  limiting the Company to $10 million
per  year  in  capital  expenditures.  Assuming  holders  of a  majority  of the
principal  amount of the notes  consent,  capital  expenditures  will instead be
limited so that the ratio of the Company's  consolidated  EBITDA (as  determined
under the  Indenture)  to the sum of the  Company's  consolidated  cash interest
expense  plus its  capital  expenditures  minus  the net  proceeds  the  Company
receives from certain  qualifying equity security or subordinated debt offerings
must not be less than 1.0 to 1.0 for any fiscal year  beginning  with the fiscal
year ending December 31, 2004.

The consent payment to be paid for each consent properly  delivered prior to the
expiration  of the  consent  solicitation  will be $10 in cash for  each  $1,000
principal amount of notes. If consents received from Holders exceed the majority
consent  requirement,  Abraxas will pay the consent payment on a pro rata basis.
Holders of notes who do not consent  will not be eligible to receive the consent
payment.  The consent  solicitation  will be open until 5:00 p.m., New York City
time, on Monday,  June 14, 2004, unless terminated or extended by Abraxas in its
sole discretion.

This  announcement  is not an offer to purchase,  a solicitation  of an offer to
purchase,  or a  solicitation  of consent  with respect to any  securities.  The
consent  solicitation is being made solely by a Consent  Solicitation  Statement
dated June 3, 2004.

Guggenheim  Capital Markets,  LLC is serving as Solicitation Agent in connection
with the  consent  solicitation.  Questions  regarding  the terms of the consent
solicitation may be directed to the Solicitation  Agent at 212-381-7500.  Global
Bondholder  Services  Corporation is serving as Tabulation Agent and Information
Agent in  connection  with the consent  solicitation.  Questions  regarding  the
delivery  procedures for the consents and requests for additional  copies of the
consent  solicitation  statement  or related  documents  may be  directed to the
Information Agent at 212-430-3774.

Abraxas Petroleum  Corporation is a San Antonio-based  crude oil and natural gas
exploitation and production company.  The Company operates in Texas, Wyoming and
western Canada.

Safe Harbor for  forward-looking  statement:  Statements in this release looking
forward in time involve  known and unknown  risks and  uncertainties,  which may
cause the Company's actual results in future periods to be materially  different
from any future performance suggested in this release. Such factors may include,
but may not be  necessarily  limited to,  changes in the prices  received by the
Company for crude oil and natural gas. In addition,  the Company's  future crude
oil and natural gas production is highly  dependent upon the Company's  level of
success in  acquiring  or finding  additional  reserves.  Further,  the  Company
operates in an industry  sector where the value of securities is highly volatile
and may be  influenced  by  economic  and other  factors  beyond  the  Company's
control.  In the context of  forward-looking  information  provided  for in this
release,  reference is made to the  discussion  of risk factors  detailed in the
Company's filing with the Securities and Exchange  Commission during the past 12
months.

FOR MORE INFORMATION CONTACT:
Janice Herndon/Manager Corp. Communications
Telephone 210.490.4788
jherndon@abraxaspetroleum.com
www.abraxaspetroleum.com