COVENANT TRANSPORT ANNOUNCES FIRST QUARTER FINANCIAL AND
                               OPERATING RESULTS

CHATTANOOGA,   TENNESSEE   -  April  20,   2004  -  Covenant   Transport,   Inc.
(Nasdaq/NMS:CVTI)  announced  today  financial  and  operating  results  for the
quarter ended March 31, 2004.

For the quarter,  revenue remained essentially constant at $137.7 million in the
2004 quarter and $137.9  million in the 2003 quarter.  Freight  revenue,  before
fuel surcharges,  also remained essentially  constant,  at $130.6 million in the
2004 quarter and $130.4  million in the 2003  quarter.  Net income  decreased to
$721,000,  or $.05 per diluted share, from $839,000,  or $.06 per diluted share,
for the first quarter of 2003.

Chairman,  President,  and Chief Executive  Officer David R. Parker stated,  "We
were  encouraged by several trends that developed  during the quarter and, based
on these trends,  we expect the  remainder of the year to improve  considerably.
The three main trends were a  substantial  increase in revenue per loaded  mile,
drawing to the end of a substantial fleet upgrade, and significantly  decreasing
our number of tractors without drivers.

We were  pleased  with the  progress on the revenue  side of our  business.  Our
revenue per loaded mile,  excluding fuel  surcharges,  increased 5.3%, to $1.318
compared  with $1.252 in the same quarter last year.  The trend is continuing in
April, as we have renewed several large contracts at meaningfully higher rates.

We are  nearing  the end of a massive  equipment  upgrade,  in which we accepted
delivery of 1,700  tractors  and 3,800  trailers and disposed of 1,700 and 2,900
trailers  over the past nine  months.  Compared  with the first  quarter of last
year,  our  operating  expenses  relating  to  ownership/lease  costs of revenue
equipment increased  approximately $.05 per mile.  Ownership/lease costs include
both  leased and owned  equipment  and are  reflected  in the  combined  cost of
revenue equipment rentals,  depreciation,  and interest.  Of that amount,  about
$.02 per mile, or $.08 per share,  related to the trade-in costs and accelerated
depreciation for the used equipment  mentioned above. The remainder  relates the
addition of 1,530  trailers  versus  year ago in order to improve  our  customer
service as our average length of haul has decreased and to the increased cost of
revenue  equipment.  The  increases  described  above were  partially  offset by
savings in the areas of tractor  and  trailer  maintenance,  as the newer  fleet
saved us $.017 per mile compared with the same quarter last year.  This resulted
in a net increase of approximately $.033 per mile in operating costs relating to
revenue equipment.  We expect our ownership/lease  cost to drop by approximately
$.02 to


$.025  per  mile by the end of the  year as the  majority  of the  trade-in  and
accelerated depreciation costs associated with the fleet upgrade roll off.

Finally,  we experienced  lower than anticipated  truck  utilization  during the
quarter  primarily  caused by intense  competition  for drivers that resulted in
approximately  6.6% of our tractors  being unmanned at the beginning of January.
During the quarter, we announced a $.03 per mile driver pay increase that became
effective  March 15 and reduced our unmanned  truck  percentage by half at March
31. The length of time it took to correct the unseated truck  percentage was the
main factor in causing our earnings per share to be $.05  compared with the $.06
per share we expected in January.

Regarding the new federal hours of service  rules, I am very proud of the effort
that our office and driving  personnel have shown in implementing  and following
these new rules. We have  experienced  some reduction in equipment  utilization,
although  it is  difficult  to judge the full  extent  because of severe  winter
weather  and  seasonally  lower  freight  demand  in the first  quarter.  We are
responding to the new rules by imposing  higher  detention  billing and reducing
the number of loads with multiple stops.  Accessorial revenue increased by $.023
per mile during the quarter with detention revenue being the largest  component.
We will remain  committed  that  neither  the  Company  nor our drivers  will be
negatively impacted financially by these new rules.

Our balance  sheet remains  strong  despite  acquiring a  substantial  amount of
revenue  equipment that brought the average age of our fleet at historical lows.
The average age of our tractor  fleet was 1.5 years during the quarter  compared
to 2.2 years last  year.  The  average  age of our  trailer  fleet was 2.4 years
during the quarter  versus 4.6 years last year. At March 31, 2004, we had $192.9
million in  stockholders'  equity and $40.5 million in balance sheet debt, for a
debt-to-total  capitalization  ratio of 17%.  During the  quarter,  we paid down
$21.2 million of balance sheet debt and added  approximately  the same amount in
capitalized  value of  operating  leases.  For the year we  expect  to  purchase
approximately  1,200 tractors and 1,600 trailers and trade  approximately  1,200
tractors and 1,600 trailers.

Looking  forward,  we are very  encouraged  about the  remainder of the year. In
forming  our  outlook,  we  assume  that  the  economy  remains  robust  and our
customers' freight levels are strong, fuel prices do not move rapidly higher and
we continue to collect surcharges on a consistent basis, our detention and other
accessorial  programs  are  successful,  and we attain and  maintain an unseated
tractor  percentage  of 2% to 3% for the  remainder of the year.  Based on those
assumptions  and a  continuation  of current  trends in safety  and  maintenance
costs,  we  continue to expect  earnings  per share for the year in the range of
$1.05  to $1.10  that we  announced  in  January.  We  expect  freight  rates to
accelerate  throughout the year as freight improves and afford us an opportunity
to improve our margins nicely throughout the year."


The  Company  also noted the  following  regarding  its first  quarter  revenue.
Historically,  we have measured  freight  revenue,  before fuel and  accessorial
surcharges,  in addition to total  revenue,  because we believed  that  removing
these sometimes  volatile sources of revenue affords a more consistent basis for
comparing  results of operations  from period to period.  As a result of the new
federally  mandated hours of service rules, the additional  accessorial  charges
associated with the new rules, and the expectation that the accessorial  charges
associated  with the rules  will  become an  ongoing  part of the  business,  we
determined it was appropriate to reflect  accessorial revenue in freight revenue
beginning with the first quarter of 2004. Freight revenue and related statistics
such as rate per loaded and total mile and  revenue  per  tractor  per week have
been reclassified in prior periods to reflect this change.

The Company will be hosting a conference  call on  Wednesday,  April 21, 2004 at
11:00 a.m.  EST. The public will be able to listen and  participate  in the call
telephonically   by  dialing   800-603-1780   (U.S./Canada)   and   706-643-0889
(International),  access code 6737086. 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
or 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,   parts,  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 March 31
                                                         -----------------------------------------------

($000s)                                                        2004            2003         % Change
                                                               ----            ----         --------
                                                                                     
Freight revenue                                              $130,590        $130,353          0.2%
Fuel surcharge revenue                                          7,077           7,522
                                                         ---------------------------------
      Total revenue                                          $137,667        $137,875         -0.2%

Operating expenses
     Salaries, wages and related expenses                      51,958          53,810
     Fuel expense                                              27,551          28,788
     Operations and maintenance                                 7,711           9,994
     Revenue equipment rentals and
        purchased transportation                               18,564          14,818
     Operating taxes and licenses                               3,479           3,431
     Insurance and claims                                       8,265           8,039
     Communications and utilities                               1,781           1,708
     General supplies and expenses                              3,497           3,173
     Depreciation and amortization                             11,803          10,600
                                                         ---------------------------------
Total operating expenses                                      134,609         134,361
                                                         ---------------------------------

Operating income                                                3,058           3,514        -13.0%
Other (income) expenses:
     Interest expense                                             608             651
     Interest income                                              (11)            (38)
     Other                                                         20             (15)
                                                         ---------------------------------
Other (income) expenses, net                                      617             598
                                                         ---------------------------------
Income before income taxes                                      2,441           2,916        -16.3%
Income tax expense                                              1,720           2,077
                                                         ---------------------------------
Net income                                                       $721            $839        -14.1%
                                                         =================================

Basic earnings per share                                        $0.05           $0.06        -16.7%
Diluted earnings per share                                      $0.05           $0.06        -16.7%
Weighted avg. common shares outstanding                        14,676          14,381
Weighted avg. common shares outstanding                        14,858          14,670
     adjusted for assumed conversions

Operating statistics excludes fuel surcharges.

Net margin as a percentage of freight revenue                   0.55%           0.64%
Average revenue per loaded mile                                $1.318          $1.252          5.3%
Average revenue per total mile                                 $1.201          $1.150          4.4%
Average revenue per tractor per week                           $2,749          $2,712          1.4%
Average miles per tractor per period                           29,749          30,308         -1.8%
Weighted avg. tractors for period                               3,646           3,726         -2.1%
Tractors at end of period                                       3,589           3,717         -3.4%
Trailers at end of period                                       9,048           7,516         20.4%

                                                            March 2004        Dec 2003
                                                           ------------      ----------
Total assets                                                 $335,331         $354,281
Total equity                                                  192,913          192,143
Total debt, including current maturities                       40,453           61,653
Debt to Capitalization Ratio                                   17.3%            24.3%