COVENANT TRANSPORT ANNOUNCES SECOND QUARTER FINANCIAL AND OPERATING RESULTS

CHATTANOOGA,   TENNESSEE   -  July  20,   2004  -   Covenant   Transport,   Inc.
(Nasdaq/NMS:CVTI)  announced  today  financial  and  operating  results  for the
quarter and six month period ended June 30, 2004.

For the quarter,  net income increased 39%, to $4.4 million from $3.2 million in
2003,  and basic and diluted  earnings per share  increased by 36%, to $.30 from
$.22 in 2003. Total revenue  increased 3%, to $149.8 million from $145.9 million
in 2003. Freight revenue, before fuel surcharges,  remained essentially constant
at $140.0  million in the 2004 quarter and $139.5  million in the 2003  quarter.
The Company measures freight revenue, before fuel surcharges, because management
believes that fuel  surcharges  tend to be a volatile source of revenue and that
removal of such surcharges affords a more consistent basis for comparing results
of operations from period to period.

For the first six months, net income increased 28%, to $5.1 million, or $.34 per
diluted  share,  compared with $4.0 million,  or $.27 per diluted share in 2003.
Total revenue  increased 1%, to $287.5  million from $283.8  million  during the
same  period  of  2003.  Freight  revenue,  before  fuel  surcharges,   remained
essentially  constant at $270.6 million in the 2004 period and $269.8 million in
the 2003 period.

Chairman, President, and Chief Executive Officer David R. Parker stated, "We are
very excited about Covenant's overall progress during the quarter.  Our earnings
per share increased 36% versus last year despite an additional $.07 per share of
diesel  fuel  expense,  net of fuel  surcharge  revenue.  We  believe  that  the
combination of tight truck  capacity and our dedication to restoring  Covenant's
profitability back to the levels maintained by the Company in the late 90's will
continue to positively impact our earnings going forward.

As we have  mentioned  in the past,  we  believe  that the key to  substantially
improving  our  profitability  is to improve  our  revenue per tractor per week,
primarily  through  increases  in  revenue  per loaded  mile.  During the second
quarter,  revenue per loaded mile  increased  10%, or $.12 per mile,  versus the
same  quarter in 2003.  Revenue  per tractor  per week  increased  almost 4%, to
$2,996 from $2,892 during the same quarter of 2003.  The increase in revenue per
loaded

mile was partially offset by lower tractor  utilization and a higher  percentage
of  non-revenue  miles.  Our average length of haul decreased by 11% to 941 from
1,055.

On the expense side, our after-tax  costs  increased about 8% or $.086 per mile.
The main  factors  were a $.03 per mile driver pay  increase  that  commenced on
March 15, 2004,  lower fuel economy of new tractor  engines,  diesel fuel prices
that  averaged  approximately  $.28 per gallon  more than the second  quarter of
2003,  and an  approximately  $.02 per mile  increase  in our cost of owning and
operating  revenue   equipment.   Our  ownership  and  operating  costs  include
ownership/lease costs and maintenance costs.  Ownership/lease costs include both
leased and owned  equipment  and are  reflected in the combined  cost of revenue
equipment rentals, depreciation, and interest, and related to increased costs of
equipment,  trade-in costs,  and the addition of 1,812 trailers versus last year
to improve our  customer  service as a result of increased  dedicated  loads and
decreased  lengths  of haul.  Compared  to  second  quarter  of last  year,  our
ownership/lease  costs of revenue  equipment  increased  approximately  $.04 per
mile. These amounts were partially offset by savings in the areas of tractor and
trailer  maintenance.  Our newer fleet saved us $.018 per mile compared with the
same quarter last year,  resulting in a net increase of approximately  $.021 per
mile in costs relating to revenue equipment. By the end of 2004, we expect these
costs to drop by an additional  $.01 per mile as a result of fewer trade-ins and
the related expenses.

Our balance  sheet remains  strong  despite  acquiring a  substantial  amount of
revenue  equipment,  which  lowered  the  average age of our tractor and trailer
fleets to 1.5 years and 2.5 years,  respectively,  for the 2004 quarter compared
to 2.2 years and 4.8  years,  respectively,  for the 2003  quarter.  At June 30,
2004, we had $195.5 million in stockholders' equity and $60.5 million in balance
sheet debt, for a debt-to-total capitalization ratio of 24%."

The Company will be hosting a conference  call on  Wednesday,  July 21, 2004, at
10:00 a.m.  EDT. The public will be able to listen and  participate  in the call
telephonically by dialing 800-603-1780 access code 8512599. For more information
on how  to  access  the  conference  call  and  for  statistical  and  financial
information  regarding  the Company that is expected to be discussed  during the
conference call, please visit our website at www.covenanttransport.com.

Covenant Transport,  Inc. is a public truckload carrier that offers just-in-time
service and other premium  transportation  services for customers throughout the
United States. Covenant operates one of the ten largest fleets in North America.
The Company's Class A common stock is traded on the Nasdaq National Market under
symbol, "CVTI."

This press  release  contains  forward-looking  statements  that  involve  risk,
assumptions,  and uncertainties  that are difficult to predict.  Statements that
constitute  forward-looking  statements are usually  identified by words such as
"anticipates,"   "believes,"   "estimates,"   "projects,"   "expects,"  "plans,"
"intends," or similar  expressions.  These  statements  are made pursuant to the
safe harbor provisions of the Private Securities  Litigation Reform Act of 1995.
Such  statements  are based upon the  current  beliefs and  expectations  of our
management  and are  subject  to  significant  risks and  uncertainties.  Actual
results may differ from those set forth in the forward-looking  statements.  The
following factors, among others, could cause actual results to differ materially
from those in forward-looking statements:  excess tractor or trailer capacity in
the trucking industry;  decreased demand for our services or loss of one or more
of our major customers;  surplus inventories;  recessionary  economic cycles and
downturns in  customers'  business  cycles;  strikes,  work slow downs,  or work
stoppages  at  the  Company,   customers,   ports,  or  other  shipping  related
facilities;   increases  or  rapid  fluctuations  in  fuel  prices  as  well  as
fluctuations  in hedging  activities  and surcharge  collection,  the volume and
terms of diesel purchase  commitments,  interest rates,  fuel taxes,  tolls, and
license  and  registration  fees;  increases  in the prices paid for new revenue
equipment;  the  resale  value  of our  used  equipment  and  the  price  of new
equipment;  increases in  compensation  for and  difficulty  in  attracting  and
retaining qualified drivers and independent contractors;  elevated experience in
the  frequency  and  severity of claims  relating to accident,  cargo,  workers'
compensation,  health, and other claims;  high insurance premiums and deductible
amounts;  seasonal  factors  such as  harsh  weather  conditions  that  increase
operating costs;  competition from trucking,  rail, and intermodal  competitors;
regulatory  requirements that increase costs or decrease  efficiency,  including
revised  hours-of-service  requirements for drivers; the ability to successfully
execute the Company's initiative of improving the profitability of medium length
of  haul  movements;   and  the  ability  to  identify  acceptable   acquisition
candidates,  consummate acquisitions, and integrate acquired operations. Readers
should review and consider  these factors along with the various  disclosures by
the Company in its press  releases,  stockholder  reports,  and filings with the
Securities Exchange Commission.

For further information contact:
Joey B. Hogan, Executive VP and Chief Financial Officer           (423) 825-3336
hogjoe@covenanttransport.com

For copies of Company information contact:
Kim Perry, Administrative Assistant                               (423) 825-3357
perkim@covenanttransport.com






                                                 Covenant Transport, Inc.
                                          Key Financial and Operating Statistics
                                                                                                

                                                          Three Months Ended June 30          Six Months Ended June 30
                                                       --------------------------------  ---------------------------------
($000s)                                                    2004       2003     % Change      2004        2003     % Change
                                                           ----       ----     --------      ----        ----     --------
Freight revenue                                            $140,036   $139,480      0.4%     $270,626    $269,833      0.3%
Fuel surcharge revenue                                        9,811      6,462                 16,888      13,984
                                                       ------------------------          -------------------------
        Total revenue                                      $149,847   $145,942      2.7%     $287,514    $283,817      1.3%

Operating expenses
        Salaries, wages and related expenses                 56,378     55,662               108,336     109,472
        Fuel expense                                         30,264     26,502                57,816      55,290
        Operations and maintenance                            7,482     10,290                15,193      20,284
        Revenue equipment rentals and
           purchased transportation                          18,589     16,562                37,153      31,380
        Operating taxes and licenses                          3,674      3,745                 7,153       7,176
        Insurance and claims                                  8,999      9,558                17,264      17,597
        Communications and utilities                          1,535      1,731                 3,316       3,439
        General supplies and expenses                         3,524      3,826                 7,021       6,999
        Depreciation and amortization                        10,677     10,617                22,480      21,217
                                                       ------------------------          -------------------------
Total operating expenses                                    141,122    138,493               275,732     272,854
                                                       ------------------------          -------------------------
Operating income                                              8,725      7,449     17.1%      11,782      10,963        7.5%
Other (income) expenses:
        Interest expense                                        655        596                 1,263       1,247
        Interest income                                         (69)       (25)                  (87)        (63)
        Other                                                  (510)        61                  (482)         46
                                                       ------------------------          -------------------------
Other (income) expenses, net                                     76        632                   694       1,230
                                                       ------------------------          -------------------------
Income before income taxes                                    8,649      6,817     26.9%      11,088       9,733       13.9%
Income tax expense                                            4,261      3,653                 5,981       5,730
                                                       ------------------------          -------------------------
Net income                                                   $4,388     $3,164     38.7%       $5,107      $4,003      27.6%
                                                       ========================          =========================


Basic earnings per share                                      $0.30      $0.22     36.4%        $0.35       $0.28      25.0%
Diluted earnings per share                                    $0.30      $0.22     36.4%        $0.34       $0.27      25.9%
Weighted avg. common shares outstanding                      14,643     14,397                 14,660      14,389
Weighted avg. common shares outstanding                      14,787     14,664                 14,823      14,637
        adjusted for assumed conversions

Operating statistics excludes fuel surcharges.

Net margin as a percentage of freight revenue                 3.13%      2.27%                  1.89%       1.48%
Average revenue per loaded mile                              $1.375     $1.252      9.8%       $1.347      $1.252       7.6%
Average revenue per total mile                               $1.248     $1.153      8.2%       $1.225      $1.151       6.4%
Average revenue per tractor per week                         $2,996     $2,892      3.6%       $2,871      $2,792       2.8%
Average miles per tractor per period                         31,215     32,612     -4.3%       60,950      62,913      -3.1%
Weighted avg. tractors for period                             3,578      3,699     -3.3%        3,612       3,706      -2.5%
Tractors at end of period                                     3,540      3,623     -2.3%        3,540       3,623      -2.3%
Trailers at end of period                                     8,945      7,133     25.4%        8,945       7,133      25.3%

                                                         June 2004  Dec 2003
                                                         ---------  --------
Total assets                                             $351,623   $354,281
Total equity                                              195,477    192,143
Total debt, including current maturities                   60,480     61,653
Debt to Capitalization Ratio                                23.6%      24.3%