EXHIBIT 99.4


[GRAPHIC OMITED]                                                    NEWS RELEASE
BRIGHAM                                                    FOR IMMEDIATE RELEASE
Exploration Company

BRIGHAM  EXPLORATION  ANNOUNCES  DISCOVERIES,  PROVIDES  OPERATIONAL  UPDATE AND
UPDATES  SECOND  QUARTER  FORECAST

================================================================================

     Austin,  TX  -  July  19, 2004 -- Brigham Exploration Company (NASDAQ:BEXP)
announced  several  discoveries, provided an update of its operational activity,
and  updated  its  second  quarter  forecast.

ONSHORE  GULF  COAST  VICKSBURG

     Successful Floyd South Field Development Well Completion - Brigham operated
     --------------------------------------------------------
and retained a 100% working interest in the Sullivan F #2, which in mid-July was
perforated, fracture stimulated and producing to sales from the Vicksburg 9 and
10 intervals at a rate of approximately 6.5 Mmcfe/d, or approximately 5.0
Mmcfe/d net to Brigham's 76% revenue interest.  Brigham's 100% working interest
is subject to a 16.5% back in after payout, at which time Brigham's working
interest would revert to 83.5%.

     The Sullivan F #2 was drilled to a total depth of approximately 14,500 feet
and encountered approximately 56 feet of total apparent net pay in various lower
Vicksburg intervals.  The Sullivan F #2 tested the Vicksburg 6 and 7 intervals
in the same large fault block, but located approximately two miles south of its
southernmost Home Run Field well.  The Sullivan F #2 encountered approximately
18 feet of apparent net pay in the Vicksburg 6, the Vicksburg 7, and various
shallower sands in the Home Run Field fault block that are currently behind
pipe.  Brigham subsequently directionally drilled the Sullivan F #2 across the
fault to the currently producing Vicksburg 9 and 10 intervals in the Floyd South
Field fault block, where the well encountered approximately 38 feet of currently
producing net pay.

     Completion to Sales of 4th Floyd Fault Block Field Well - The Sullivan #12
     -------------------------------------------------------
was recently completed to sales and in early July was producing at a commingled
rate of approximately 5.3 Mmcfe/d, or approximately 1.4 Mmcfe/d net to Brigham's
25% revenue interest.  The Sullivan # 12 encountered approximately 34 feet of
apparent net pay, approximately 8 feet of which currently remains behind pipe.
Brigham retained a 34% working and 25% revenue interest in the Sullivan #12.

     Home Run and Triple Crown Field Activity -Brigham plans to commence an
     ----------------------------------------
Upper and Lower Vicksburg well in its Triple Crown Field in August or September.
Brigham's current working interest in the test would be 34%, however, the
Company may have the opportunity to operate the well and increase its working
interest in both the initial test well and the adjacent acreage.  This well
should test the Upper and Lower Vicksburg formations north of, and based on
Brigham's 3-D interpretation, structurally high to its three prior Triple Crown
Vicksburg completions.  If successful, we believe up to ten potential drilling
locations could be drilled to fully develop the structure.

     In Brigham's Home Run Field, the Company perforated and fracture stimulated
the upper pay intervals encountered in the previously announced Palmer #9
discovery.  The recently perforated zones commenced producing to sales on July
18th at an initial rate of approximately 3.9 Mmcf of natural gas and 78 barrels
of oil (4.4 Mmcfe) per day at 6350 psi.  This interval will be commingled with
the two previously completed Lower Vicksburg zones, which were perforated,
stimulated and producing to sales in early May at an initial rate of
approximately 2.8 Mmcf of natural gas and 300 barrels of oil (4.6 Mmcfe) per
day, and had recently stabilized at a rate of approximately 1.5 Mmcfe/d.  As per
Brigham's May 10th press release, the Company previously anticipated adding the
upper pay intervals in mid-May, but instead elected to produce the lower
interval until mid-July, in order to both better estimate the reserves to be
recovered and to potentially enhance the ultimate recoveries.  Brigham retains a
34% working and 29% revenue interest in the Palmer #9.

     Bud Brigham, the Company's Chairman, CEO and President, stated, "We've now
completed 21 wells in 22


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                                                                    EXHIBIT 99.4

attempts in the Vicksburg.  We are pleased that we continue to successfully
expand our interests in this play, as evidenced by our 100% working interest in
the Sullivan F #2 well.  Looking ahead, we hope to increase our working interest
in the Triple Crown well that is scheduled to commence in September.  We've been
looking forward to drilling this Triple Crown test for some time now, and given
the number of potential offsets, we believe this well provides significant
reserve potential for the company.  It will be one of at least two high reserve
potential Vicksburg tests that we hope to drill during the second half of 2004."


ONSHORE GULF COAST FRIO EXPLORATION

     Jackson County Frio Discovery - Brigham operated the successful drilling
     -----------------------------
and completion of the Planet Oil #1, which commenced production in late June at
a rate of approximately 2.9 Mmcfe/d.  Brigham retained a 50% working and 40%
revenue interest in the discovery, which was drilled to a total depth of
approximately 9,500 feet and encountered 20 feet of apparent net pay in the
Frio.  Depending on performance, one offset location may be drilled.

     Matagorda County Frio Completion - Brigham's previously announced Wilson
     --------------------------------
Trust #1 discovery, which production tested at a rate of 5.1 Mmcfe/d in May,
went off line in June due to a rapid increase in water production. From
subsequently acquired wireline logs it was determined that the water was
channeling behind pipe.  As a result, Brigham performed remedial squeeze
cementing operations and reperforated the same interval. Subsequent to being put
on compression in early July, the well was producing at a rate of approximately
1.5 Mmcfe/d with minimal water.  Brigham retains a 50% working interest and 40%
revenue interest in the Wilson Trust #1, with additional potential shallower pay
remaining behind pipe.

     Calhoun  County  Frio  Discovery  -  Brigham  is  currently  completing the
     --------------------------------
Sartwelle #2, an offset to Brigham's recent Sartwelle #1 discovery. Brigham
retains a 75% working interest in the Sartwelle #2, which was drilled to a total
depth of 9,175 feet. The well encountered potential pay in a number of zones,
the lowest of which have been tested unsuccessfully. Results from the completion
attempts in the shallower intervals are expected within the next several weeks.

     Two  High  Working  Interest  Frio  Bright Spot Tests - In Brazoria County,
     -----------------------------------------------------
Texas, Brigham is operating the drilling of the Geissen #1 at a current depth of
approximately 7,800 feet, with an expected total depth of 13,500 feet, in an
area that Brigham has experienced several prior Frio discoveries. The Company
retains an 87.5% working interest in the well, which targets a Frio bright spot
structurally high to a prior discovery, as well as other prospective Frio sands.
Results are expected by September.

     In Brooks County, Texas, in Brigham's Diablo Project, Brigham is preparing
to commence the Sullivan E #2 with a 100% working interest (subject to a 33%
back in after payout). The Sullivan E #2 will test a Frio bright spot at a depth
of approximately 8,650 feet, located approximately one half mile to three miles
from three other Frio bright spot discoveries recently drilled by another
operator. The three prior discoveries commenced production at initial rates of
between 8.8 and 11 Mmcfe/d. The earliest discovery has now produced a cumulative
4.1 Bcfe since November of 2002, averaging 7.5 Mmcfe/d. Brigham expects results
for the Sullivan E #2 in September.

     New Frio 3-D Projects - Brigham is preparing to commence the acquisition of
     ---------------------
the first of two proprietary, high working interest 3-D shoots in its Frio focus
play, totaling approximately 230 square miles. The Company plans to retain at
least a 50%, and possibly a 75% working interest in these 3-D projects where
Brigham has assembled a substantial land position, including more than 36,000
acres under option or lease. Brigham believes that these projects provide
excellent potential for significant reserve discoveries, particularly in the
deeper Lower Frio section.

     Bud Brigham, the Company's Chairman, CEO and President, stated, "Our second
quarter production would have been stronger had we not had the operational
problem with the Wilson Trust #1. We were obviously pleased to have the well
back on line producing essentially water free. We've now completed 27 wells in
29 recent attempts in our Frio focus play. Our returns on our drilling
investments in this play have been strong, thus we are very excited about
commencing our new high potential Frio 3-D shoots this year. We will operate
both proprietary projects, which we believe have the potential to add
substantially to our deep inventory of Frio drilling projects for 2005 and
2006."


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                                                                    EXHIBIT 99.4

ANADARKO BASIN SPRINGER TREND

     Grady  County  Bromide  Discovery - The Burton #1 was recently completed to
     ---------------------------------
sales from the first and second Bromide intervals at a rate of 1.5 Mmcf of
natural gas and 750 barrels of oil (6.0 Mmcfe) per day, with additional
potential pay behind pipe. Brigham retained a 29% working and 23% revenue
interest in this discovery. Brigham previously drilled an apparently comparable
well, the Gage #1. Subsequent to its completion, in August of 2002 the Gage #1
produced at 1.7 Mmcf of natural gas and 798 barrels of oil (6.5 Mmcfe) per day.
Through April of 2004, the Gage #1 produced a cumulative 0.6 Bcf of natural gas
and 232,000 barrels of oil (2.0 Bcfe), and in April of 2004 was producing
approximately 1.3 Mmcfe/d.

     Springer Bar Field Activity - As previously announced, the recently
     ---------------------------
completed Mack Farms #1 discovery commenced production to sales in late April
from the Britt interval of the Springer Formation at an initial rate of
approximately 0.7 Mmcfe/d.  However, the operator subsequently reentered the
well, perforating and fracture stimulating the Cunningham interval of the
Springer formation, and recently production tested from that zone at a rate of
2.3 Mmcfe/d.  Brigham retains a 15% working and 12% revenue interest in the
discovery.

     Also in the Springer Bar Field, Brigham is currently drilling the Steve #1
with a 32% working interest.  The Steve #1 offsets three of the most prolific
Springer Bar Field discoveries to date, the Amy #1, the Jones #2, and Pitchford
#1.  These wells produced at early stabilized rates of approximately 8.6
Mmcfe/d, 7.0 Mmcfe/d and 4.0 Mmcfe/d, respectively.

     Springer Channel Discoveries - In Blaine County, Oklahoma, Brigham
     ----------------------------
participated in the drilling and completion of the Wolsey #1 with a 28% working
interest.  The Wolsey #1 encountered approximately 16 feet of apparent pay in
the Cunningham interval of the Springer with good drilling shows.  Completion
operations are currently under way and the operator is awaiting pipeline hook up
so the well can be tested to sales.   Brigham plans to drill a 25% working
interest offset to this apparent discovery during the third quarter which, based
on Brigham's 3-D seismic interpretation, should be structurally high to the
Wolsey #1.

     Also in the Springer Channel trend, Brigham operated the drilling of the
Maddux #1 with a 49% working interest.  The Maddux #1 was drilled to a total
depth of 9,360 feet and encountered apparent pay in both the Cunningham and
Britt sands of the Springer Formation, as well as apparent pay in the Chester
Formation.  Production to sales is expected within the next several weeks.

     In Blaine County, Oklahoma, Brigham expects to commence the Dobbins 2 #1 in
August.  The Company plans to drill the Dobbins 2 #1 to a depth of approximately
10,850 feet to test the Springer and Chester Formations.  Brigham will retain a
100% working interest in the well, with results expected in October.  The
Company is also participating in three additional tests in this trend, the
Moseley #1, the Pinkerton #1-22 and the Loosen #1, with interests of 12%, 13%
and 17%, respectively.  Results for these wells are expected by late September
or early October.


ANADARKO BASIN HUNTON TREND

     High Working Interest High Reserve Potential Hunton and Arbuckle Test -
     ---------------------------------------------------------------------
Brigham is retaining a 93% working interest in the currently drilling Mills
Ranch #1-99S, which is testing an eastern offset location on a large structure
that has produced approximately 21 Bcfe from three currently producing wells,
two of which were drilled by Brigham.  In mid-May, drill pipe became stuck at a
depth of approximately 21,165 feet.  Brigham subsequently successfully
sidetracked the well at a depth of approximately 18,300 feet, and the well is
currently drilling at a depth of approximately 20,600 feet.  Prior to
experiencing the stuck pipe, Brigham encountered encouraging drilling shows with
an associated natural gas flare from shallower zones at depths of between 20,848
and 20,950 feet, above the primary objective Hunton and Arbuckle intervals.
Brigham expects results from the Mills Ranch #1-99S by mid-September.  If
successful, the well could require up to four offset wells to fully develop the
eastern end of the structure.

     Planned Mills Ranch Development Well - Brigham also plans to commence
     ------------------------------------
drilling the Mills Ranch #3, the third well on the western end of the Mills
Ranch structure, in September 2004.  Brigham plans to reenter and sidetrack out
of an existing well at a depth of approximately 15,000 feet, targeting the
Hunton and Arbuckle at a location between the three producing Hunton wells that
have produced over 21 Bcfe to date.  Brigham plans to drill this test to the
deeper Arbuckle interval, which was not penetrated by the three prior Hunton
discoveries.  Brigham will operate this well with a working


                                        6

                                                                    EXHIBIT 99.4

interest of at least 64%.  Results are expected in the first quarter of 2005.

     Bud Brigham stated, "The sidetracking operation increased the cost and
delayed the potential completion of our Mills Ranch #1 -99S.  However, the
strong drilling shows above the projected Hunton interval are very encouraging,
particularly since analog Hunton fields often have associated shallower
production.  We believe that this well, and the subsequently planned wells in
this deep but prolific play, provide our Company with excellent potential for
large reserve additions."

     Hemphill County, Texas Granite Wash Discovery - Brigham operated the
     ---------------------------------------------
successful completion of the Patrick #1, which commenced production in early
July at an early rate of approximately 0.6 Mmcf of natural gas with water.  The
water rate subsequently increased to approximately 300 barrels per day.  Recent
production testing indicated that a significant amount of the water production
could be plugged off, potentially increasing the gas production.  This remedial
operation should begin soon.  Brigham retained a 63% working interest in the
Patrick 22 #1, which was drilled to a total depth of approximately 11,500 feet
encountering approximately 129 feet of apparent net pay in the Granite Wash
formation.

     Brigham plans two additional Granite Wash tests in the same area in
September and November.  The Company currently owns a contiguous block of
approximately 3,958 gross and 2,100 net acres in the area.  With continued
drilling and completion success, we believe that over 90 potential locations
could ultimately be drilled to fully develop Brigham's acreage.


2004 OPERATIONAL STATISTICS

     Brigham has spud thirty-one wells thus far in 2004, retaining an average
working interest of approximately 41%. Twenty-four of these wells have been or
are currently being completed, two have been plugged and five are currently
drilling. Brigham's gross and net completion rates thus far in 2004 are 92% and
83%, respectively. Brigham currently plans to commence drilling operations on
approximately eight additional wells during the next sixty days.


NARROWED 2ND QUARTER PRODUCTION FORECAST

     The following forecasts and estimates of our second quarter 2004 results
are forward looking statements subject to the risks and uncertainties identified
in the "Forward Looking Statements Disclosure" at the end of this release.

     We now expect second quarter production to average between 34 and 35 Mmcfed
(73% natural gas), relative to 28.9 Mmcfed in the second quarter 2003, and 33.9
Mmcfed in the first quarter 2004.

     Bud Brigham, the Company's Chairman, CEO and President, stated, "Our second
quarter production, although consistent with our forecast, would have been
stronger absent the operational problem with the Wilson Trust #1. Partially as a
result, we believe that we've had a slow start for the year, particularly
relative to our historical performance, as our expectations for our drilling
program and the associated production growth are much higher. However, we only
have results from approximately 33% of our $61 million drilling budget. Further,
we could not be more excited, given our very high quality drilling program
currently underway, particularly the high working interest and high reserve
potential tests, about the results we expect to generate during the remainder of
2004."


ABOUT BRIGHAM EXPLORATION

     Brigham  Exploration  Company  is  a  leading  independent  exploration and
production  company  that  applies  3-D  seismic  imaging  and  other  advanced
technologies  to systematically explore and develop onshore domestic natural gas
and  oil provinces. For more information about Brigham Exploration, please visit
our  website  at  www.bexp3d.com  or contact Investor Relations at 512-427-3444.


FORWARD LOOKING STATEMENT DISCLOSURE


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                                                                    EXHIBIT 99.4

     Except  for  the  historical  information  contained  herein,  the  matters
discussed in this news release are forward looking statements within the meaning
of  the  Private  Securities  Litigation  Reform Act of 1995 that are based upon
current  expectations.  Important  factors  that  could  cause actual results to
differ  materially  from  those  in the forward looking statements include risks
inherent in exploratory drilling activities, the timing and extent of changes in
commodity  prices,  unforeseen  engineering  and  mechanical  or  technological
difficulties  in  drilling  wells,  availability  of drilling rigs, land issues,
federal  and  state regulatory developments and other risks more fully described
in  the  company's  filings  with  the  Securities  and Exchange Commission. All
forward  looking  statements  contained in this release, including any forecasts
and  estimates,  are  based  on management's outlook only as of the date of this
release,  and  we  undertake  no  obligation  to  update or revise these forward
looking statements, whether as a result of subsequent developments or otherwise.

Contact:     John Turner, Manager of Finance & Investor Relations
             (512) 427-3300


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