EXHIBIT 99.1

                          ABRAXAS PETROLEUM CORPORATION
           500 N. Loop 1604 East, Suite 100, San Antonio, Texas 78232
                 P.O. Box 701007, San Antonio, Texas 78270-1007
                Office: 210.490.4788 Exec/Acctg Fax: 210.490.8816

                                  NEWS RELEASE

                   Abraxas Reports First Quarter 2005 Results

SAN  ANTONIO  (May  11,  2005)  -  Abraxas  Petroleum  Corporation   ("Abraxas")
(AMEX:ABP) today reported  financial and operating results for the quarter ended
March 31, 2005.  As a result of the Grey Wolf  Exploration  Inc.  ("Grey  Wolf")
initial  public  offering   ("IPO")  that  closed  on  February  28,  2005,  the
information herein represents financial and operating results from operations in
the U.S. only as all of Grey Wolf's historical  performance and results from the
sale of  Grey  Wolf  shares  owned  by  Abraxas,  are  treated  as  discontinued
operations.

Production of 1.3 Bcfe for the quarter generated  revenues of $7.8 million and a
net loss of $1.5  million or $0.04 per share from  continuing  operations.  This
compares to a net loss from  continuing  operations of $5.8 million or $0.16 per
share for the same  quarter of 2004.  Net income of $9.2  million  (including  a
discontinued  operations  impact of $10.7 million) for the first quarter of 2005
included a $19.6  million gain on the sale of the Grey Wolf shares in the IPO, a
$6.1 million  non-cash  income tax expense  related to the sale of the Grey Wolf
shares  that  Abraxas  owned which  offset a similar  tax benefit  booked in the
fourth quarter of 2004, and a $2.8 million loss from  operations,  predominantly
for debt  retirement  costs of loans that were repaid with the proceeds from the
Grey Wolf IPO.

As a result of the elimination of our capital expenditure limitations,  the most
significant  item related to the first quarter of 2005 results  included capital
expenditures  of $8.7 million  compared to $2.2 million in the first  quarter of
2004.

"The 1st quarter of 2005 was a busy time at Abraxas - we completed the Grey Wolf
IPO thus, significantly reducing the leverage on our balance sheet and returning
our focus to U.S.  development as we kicked off our capital  development program
with 7 wells in South and West Texas.  We are  currently  drilling 1  horizontal
well in West Texas and  completing  and/or testing 1 vertical well in West Texas
and  3  horizontal  wells  in  South  Texas.  The  horizontal  wells  have  been
encouraging as we look forward to definitive results upon completion and testing
of the wells despite  delays in  contracting  equipment,"  commented Bob Watson,
Abraxas' President and CEO.

Abraxas invites your  participation in a conference call on Thursday,  May 19th,
at 10:00  a.m.  CT to  discuss  the  contents  of this  release  and  respond to
questions.  Please call  1.888.855.5428  between  9:50 a.m.  and 10:00 a.m.  CT,
confirmation  code 4635216,  if you would like to participate in the call. There
will be a replay of the  conference  call  available by calling  1.888.203.1112,
confirmation  code  4635216,  beginning  approximately  1:00 p.m.  CT, May 19th,
through midnight CT, May 25th.

Abraxas  Petroleum  Corporation is a San Antonio based crude oil and natural gas
exploitation and production company with operations in Texas and Wyoming.







Safe Harbor for forward-looking  statements:  Statements in this release looking
forward in time involve  known and unknown  risks and  uncertainties,  which may
cause Abraxas' 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 Abraxas for
crude oil and natural  gas. In addition,  Abraxas'  future crude oil and natural
gas  production is highly  dependent upon Abraxas' level of success in acquiring
or finding additional reserves.  Further, Abraxas operates in an industry sector
where the  value of  securities  is highly  volatile  and may be  influenced  by
economic  and  other  factors  beyond  Abraxas'  control.   In  the  context  of
forward-looking  information provided for in this release,  reference is made to
the discussion of risk factors  detailed in Abraxas'  filing with the Securities
and Exchange Commission during the past 12 months.

FOR MORE INFORMATION CONTACT:
Barbara M. Stuckey/Director of Corporate Development
Direct Telephone 210.757.9835
Main Telephone 210.490.4788
bstuckey@abraxaspetroleum.com
www.abraxaspetroleum.com










                          ABRAXAS PETROLEUM CORPORATION
                               QUARTER-END RESULTS
                                   (UNAUDITED)


                                                                           Three Months Ended
(In thousands except per share data)                                           March 31,
                                                                 ------------------- -- ----------------
                                                                        2005                 2004
                                                                  -------------------    ----------------

Financial Results:
- ----------------------------------------------------------------
                                                                                           
Revenues                                                                     $7,822              $7,960
EBITDA (a)                                                                    4,380               4,478
Cash Flow (Before Working Capital Changes) (a)                                1,257               1,658
Net Income (Loss) from continuing operations                                 (1,514)             (5,755)
Income (Loss) Per Share from continuing operations - Basic                    (0.04)              (0.16)
Weighted Average Shares Outstanding                                            36.6                36.0

Production Per Day:
- ----------------------------------------------------------------
Crude Oil (Bbl/d)                                                               575                 619
NGL (Bbl/d)                                                                       -                  25
Natural Gas (Mcf/d)                                                          10,745              12,819
Mcfe/d                                                                       14,192              16,683

Realized Prices (net of hedge impact):
- ----------------------------------------------------------------
Crude Oil ($/Bbl)                                                            $47.13              $34.18
NGL ($/Bbl)                                                                       -               23.55
Natural Gas ($/Mcf) (b)                                                        5.26                4.98
Price per Mcfe                                                                 5.89                5.13

Expenses:
- ----------------------------------------------------------------
Lease Operating ($/Mcfe)                                                      $1.78               $1.51
General & Administrative ($/Mcfe)                                              0.74                0.69
Cash Interest ($/Mcfe)                                                         2.44                1.22
Total Interest ($/Mcfe)                                                        2.45                3.23
D/D/A ($/Mcfe)                                                                 1.33                1.21
- -------------------------------------------------------------------------------------------------------


     (a) See reconciliation of non-GAAP financial measures below

     (b) Includes  deductions of $0.53 per Mcf in 2005 and $0.10 per Mcf in 2004
         related to non-cash hedge accounting impact

Note: The above quarterly results exclude impact from Grey Wolf Exploration Inc.




                               BALANCE SHEET DATA

       (In thousands)                                     March 31, 2005             December 31, 2004
                                                     -------------------------    ------------------------
                                                                                 
       Cash                                          $                     -           $            1,284
       Working Capital (Deficit) (c)                                  (10,016)                     (3,857)
       Plant/Property/Equipment, Net                                   85,031                      78,077
       Total Assets                                                    99,172                     152,685

       Long-Term Debt                                                 125,007                     126,425
       Shareholders Equity (Deficit)                                  (43,389)                    (53,464)
       Common Shares Outstanding (Millions)                              37.8                        36.5


     (c) Continuing operations only





                      CONSOLIDATED STATEMENTS OF OPERATIONS

(In thousands except per share data)                                            Three Months Ended
                                                                                    March 31,
                                                                  -----------------------------------------------
                                                                           2005                     2004
                                                                  -----------------------    --------------------

Revenues:
                                                                                                    
   Oil and gas production revenues ....................                           $7,525                  $7,783
   Rig revenues .......................................                              296                     175
   Other  .............................................                                1                       2
                                                                  -----------------------    --------------------
                                                                                   7,822                   7,960
Operating costs and expenses:
   Lease operating and production taxes ...............                            2,278                   2,288
   Depreciation, depletion, and amortization ..........                            1,698                   1,839
   Rig operations .....................................                              218                     145
   General and administrative .........................                              946                   1,049
   Stock-based compensation............................                              603                   2,063
                                                                  -----------------------    --------------------
                                                                                   5,743                   7,384
                                                                  -----------------------    --------------------
Operating income ......................................                            2,079                     576

Other (income) expense:
   Interest income ....................................                               (1)                     (4)
   Interest expense ...................................                            3,134                   4,908
   Amortization of deferred financing fees ............                              451                     445
   Financing costs ....................................                                -                     971
   Other ..............................................                                9                      11
                                                                  -----------------------    --------------------
                                                                                   3,593                   6,331
                                                                  -----------------------    --------------------
Loss from continuing operations .......................                          (1,514)                 (5,755)


Net income from discontinued operations................                           10,731                     198
                                                                  -----------------------    --------------------

Net income (loss)...................................                              $9,217                $(5,557)
                                                                  =======================    ====================


Basic earnings (loss) per common share:
   Net earnings (loss) from continuing operations...                              $(0.04)                 $(0.16)
    Discontinued operations ........................                                0.29                    0.01
                                                                  -----------------------    --------------------
Net income (loss) per common share - basic .........                               $0.25                  $(0.15)
                                                                  =======================    ====================

Diluted earnings (loss) per common share:
   Net earnings (loss) from continuing operations...                             $(0.04)                 $(0.16)
    Discontinued operations ........................                                0.29                    0.01
                                                                  -----------------------    --------------------
Net income (loss) per common share  - diluted.......                               $0.25                 $(0.15)
                                                                  =======================    ====================






                  RECONCILIATION OF NON-GAAP FINANCIAL MEASURES


To fully assess Abraxas' operating results,  management  believes that, although
not  prescribed  under  generally  accepted  accounting   principles   ("GAAP"),
discretionary cash flow and EBITDA are appropriate  measures of Abraxas' ability
to satisfy capital  expenditure  obligations  and working capital  requirements.
Cash flow and EBITDA are non-GAAP financial measures as defined under SEC rules.
Abraxas'  cash flow and EBITDA  should not be  considered  in  isolation or as a
substitute for other financial  measurements prepared in accordance with GAAP or
as a measure  of the  Company's  profitability  or  liquidity.  As cash flow and
EBITDA  exclude  some,  but not all,  items that  affect net income and may vary
among companies,  the cash flow and EBITDA presented below may not be comparable
to  similarly  titled  measures of other  companies.  Management  believes  that
operating income (loss)  calculated in accordance with GAAP is the most directly
comparable measure most similar to cash flow and EBITDA.


Cash flow is defined as operating income (loss) plus depletion, depreciation and
amortization expenses,  non-cash expenses, cash gains (losses) on the settlement
of non-hedge  derivatives  and cash portion of other income  (expense)  and cash
interest.  The  following  table  provides  a  reconciliation  of  cash  flow to
operating income (loss) for the periods presented.

(In thousands)                                       Three Months Ended
                                                          March 31,
                                              ----------------------------------
                                                  2005               2004
                                              --------------    ----------------

Operating income (loss)                              $2,079                $576
Depletion, depreciation and amortization              1,698               1,839
Non-cash stock based compensation expense               603               2,063
Financing costs                                           -               (971)
Cash portion of other expense                           (9)                   -
Cash interest                                       (3,114)             (1,849)
- --------------------------------------------------------------------------------
Cash Flow                                            $1,257              $1,658
- --------------------------------------------------------------------------------


EBITDA is  defined  as net  income  (loss)  plus  interest  expense,  depletion,
depreciation and amortization expenses, deferred income taxes and other non-cash
items.  The following  table  provides a  reconciliation  of EBITDA to operating
income  (loss)  for the  periods  presented  - see  consolidated  statements  of
operations for a reconciliation of net income (loss) to operating income (loss).


(In thousands)                                       Three Months Ended
                                                          March 31,
                                              ----------------------------------
                                                  2005               2004
                                              --------------    ----------------

Operating income (loss)                              $2,079                $576
Depletion, depreciation and amortization              1,698               1,839
Non-cash stock based compensation expense               603               2,063
- --------------------------------------------------------------------------------
EBITDA                                               $4,380              $4,478
- --------------------------------------------------------------------------------

     Note: The above cash flow and EBITDA  reconciliations  exclude  impact from
           Grey Wolf Exploration Inc.