Exhibit 99.1

   COVENANT TRANSPORT ANNOUNCES THIRD QUARTER FINANCIAL AND OPERATING RESULTS

CHATTANOOGA,   TENNESSEE  -  October  18,  2004  -  Covenant   Transport,   Inc.
(Nasdaq/NMS:CVTI)  announced  today  financial  and  operating  results  for the
quarter and nine month period ended September 30, 2004.

For the quarter,  net income increased 17%, to $4.7 million from $4.1 million in
2003, and diluted  earnings per share  increased 14%, to $.32 from $.28 in 2003.
The third quarter of 2004 was negatively  impacted by $.02 per share relating to
the previously announced interest cost on a proposed disallowed deduction by the
IRS, and the third  quarter of 2003 had been  positively  impacted by a $.01 per
share  adjustment  for  interest  rate  changes  under  FAS 133.  The  Company's
announced  guidance had been a range of $.32 to $.36 per share before the effect
of the $.02 per share interest charge.

Total  revenue  for the  quarter  increased  4%, to $151.9  million  from $146.5
million in 2003. Freight revenue,  before fuel surcharges,  remained essentially
constant at $140.6  million in the 2004  quarter and $140.3  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 nine months,  net income  increased 22%, to $9.9 million from $8.1
million in 2003, and diluted earnings per share increased 20%, to $.66 from $.55
in 2003.  Total  revenue  increased  2%, to $439.4  million from $430.3  million
during  the same  period  of 2003.  Freight  revenue,  before  fuel  surcharges,
remained  essentially  constant at $411.3  million in the 2004 period and $410.1
million in the 2003 period.

Chairman,  President,  and Chief Executive Officer David R. Parker stated,  "Our
results were within the range of guidance we  previously  announced  and reflect
continued improvement in our operating margin. We have been executing a strategy
based on

constraining our fleet size and improving our asset productivity,  with the goal
of returning to an operating ratio (operating  expenses as a percentage of total
revenue) of below 90%. For the third quarter, our operating ratio was 92.7%, the
first  time it has been  under  93%  since  the  fourth  quarter  of 1999.  This
reflected an improvement of 130 basis points over the 94.0%  operating  ratio we
posted in the third quarter of 2003.

Our  operating  results  reflected a good  freight  environment  for most of the
quarter  as well as high fuel  prices  and tough  competition  for  drivers.  As
previously announced,  freight demand was strong during the quarter except for a
soft spot during August.  Our business mix reflected a continuation of our trend
toward a shorter  length of haul and more  dedicated  routes as we allocate  our
capacity  toward more  productive  customers and lanes.  We are  maintaining our
historical focus on a substantial  transcontinental  team operation,  but we are
shifting a meaningful  portion of medium length of haul movements toward shorter
lengths of haul.  The general  effects on our  business  have been higher  rates
offset  partially by lower mileage  utilization  and an increase in  non-revenue
miles. Overall, we believe the shift has been a major factor in the improvements
in Covenant's profitability over the past several quarters.

For the quarter,  we increased our average freight revenue per loaded mile 11.9%
compared  with the third  quarter  of 2003,  primarily  because  of a  favorable
relationship  between  freight  demand and  available  truck  capacity.  Average
freight revenue per total mile increased 10.5%,  reflecting a modest increase in
non-revenue  miles  associated  with a decrease in our  average  length of haul.
Average  freight  revenue  per  tractor  per  week,  our main  measure  of asset
productivity,  increased 2.2%, reflecting higher rates partially offset by fewer
average miles per tractor.  Our mileage  utilization was negatively  impacted by
our shorter  average length of haul, a decrease in the percentage of team-driven
tractors,  and an increase in the  percentage  of our tractors that did not have
drivers.

On the expense side, our after-tax costs increased  almost 10%, or $.11 per mile
compared with the third quarter of 2003.  The main factors were a $.044 increase
in  compensation  expense  driven  primarily by increases in driver pay, a $.029
increase  in  fuel  cost  per  mile

net of fuel surcharge recovery,  and an approximately $.022 per mile increase in
our cost of insurance and claims  resulting from an increase in our accrual rate
for accidents.  One positive  development was that the increase in our ownership
and  operating  costs  associated  with our  tractor/trailer  fleet has begun to
flatten out as the  maintenance  savings of a newer fleet are offsetting more of
the  increased  capital  and  trade-in  costs of  acquiring  the new  fleet.  At
September 30, 2004,  the average age of our tractor and trailer  fleets were 1.5
years and 2.7  years,  respectively,  compared  with 2.1  years  and 4.1  years,
respectively, a year ago.

Looking  forward,  we believe driver  availability  will continue to be the most
pressing issue facing Covenant and the industry for the foreseeable  future.  We
expect competition for quality drivers to remain intense and that driver numbers
will be the most substantial  limiting factor on capacity growth. We expect many
carriers to use future rate increases to increase driver compensation. Also, the
actuarial study of our claims accruals that we previously announced has not been
completed.  We expect the results of the study to be available during the fourth
quarter.

Our balance sheet remains  strong.  At September 30, 2004, we had $201.9 million
in  stockholders'  equity  and  $60.2  million  in  balance  sheet  debt,  for a
debt-to-total capitalization ratio of 23%."

The Company will be hosting a conference  call on Tuesday,  October 19, 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 1462406. 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  and changes in the resale value of our used  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;  fluctuations  in claims expenses that result
from high self-insured  retention amounts and differences between estimates used
in  establishing  and adjusting  claims  reserves and actual  results over time;
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 Sept 30           Nine Months Ended Sept 30
                                                       -----------------------------       -----------------------------
($000s)                                                   2004     2003    % Change           2004      2003    % Change
                                                          ----     ----    --------           ----      ----    --------
Freight revenue                                          $140,631 $140,313      0.2%        $411,257  $410,145      0.3%
Fuel surcharge revenue                                     11,304    6,170                    28,192    20,155
                                                       --------------------                --------------------
                  Total revenue                          $151,935 $146,483      3.7%        $439,449  $430,300      2.1%

Operating expenses
                  Salaries, wages and related expenses     55,563   55,863                   163,899    165,335
                  Fuel expense                             32,893   26,370                    90,708     81,660
                  Operations and maintenance                7,657   10,161                    22,851     30,446
                  Revenue equipment rentals and
                     purchased transportation              16,593   18,634                    53,745     50,014
                  Operating taxes and licenses              3,478    3,343                    10,631     10,519
                  Insurance and claims                      9,809    8,240                    27,073     25,836
                  Communications and utilities              1,550    1,868                     4,866      5,307
                  General supplies and expenses             3,422    3,527                    10,443     10,526
                  Depreciation and amortization            10,728    9,991                    33,209     31,208
                                                       --------------------                --------------------
Total operating expenses                                  141,693  137,997                   417,425    410,851
                                                       --------------------                --------------------
Operating income                                           10,242    8,486     20.7%          22,024     19,449    13.2%
Other (income) expenses:
                  Interest expense                            708      538                     1,971     1,786
                  Interest income                             (11)     (43)                      (30)     (106)
                  Other                                       297     (251)                     (254)     (206)
                                                       --------------------                --------------------
Other (income) expenses, net                                  994      244                     1,687     1,474
                                                       --------------------                --------------------
Income before income taxes                                  9,248    8,242     12.2%          20,337    17,975     13.1%
Income tax expense                                          4,503    4,192                    10,484     9,923
                                                       --------------------                --------------------
Net income                                                 $4,745   $4,050     17.2%          $9,853    $8,052     22.4%
                                                       ====================                ====================


Basic earnings per share                                   $0.33     $0.28     17.9%           $0.67      $0.56    19.6%
Diluted earnings per share                                 $0.32     $0.28     14.3%           $0.66      $0.55    20.0%
Weighted avg. common shares outstanding                   14,585    14,461                    14,634     14,413
Weighted avg. common shares outstanding                   14,811    14,692                    14,817     14,652
     adjusted for assumed conversions

Operating statistics excludes fuel surcharges.

Net margin as a percentage of freight revenue              3.37%     2.89%                     2.40%      1.96%
Average revenue per loaded mile                           $1.410    $1.260     11.9%          $1.368     $1.255     9.0%
Average revenue per total mile                            $1.285    $1.163     10.5%          $1.245     $1.155     7.8%
Average revenue per tractor per week                      $3,035    $2,971      2.2%          $2,925     $2,861     2.2%
Average miles per tractor per period                      31,043    33,568     -7.5%          91,989     96,444    -4.6%
Weighted avg. tractors for period                          3,524     3,584     -1.7%           3,582      3,665    -2.3%
Tractors at end of period                                  3,517     3,586     -1.9%           3,517      3,586    -1.9%
Trailers at end of period                                  8,847     8,294      6.7%           8,847      8,294     6.7%

                                                       Sept 2004   Dec 2003
                                                       ---------   --------
Total assets                                            $351,976  $354,281
Total equity                                             201,936   192,143
Total debt, including current maturities                  60,172    61,653
Debt to Capitalization Ratio                               23.0%     24.3%