-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
Originator-Key-Asymmetric:
 MFgwCgYEVQgBAQICAf8DSgAwRwJAW2sNKK9AVtBzYZmr6aGjlWyK3XmZv3dTINen
 TWSM7vrzLADbmYQaionwg5sDW3P6oaM5D3tdezXMm7z1T+B+twIDAQAB
MIC-Info: RSA-MD5,RSA,
 QYEh/jxXAVzlSx8apPOag4O+ErycHuQj9MAlX6hFHhbEloiGBA2WxT/VDBYncf62
 LsP6fZb5qT+14Zz+vIoPIw==

<SEC-DOCUMENT>0001008886-04-000168.txt : 20040601
<SEC-HEADER>0001008886-04-000168.hdr.sgml : 20040601
<ACCEPTANCE-DATETIME>20040601171202
ACCESSION NUMBER:		0001008886-04-000168
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20040527
FILED AS OF DATE:		20040601

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			COVENANT TRANSPORT INC
		CENTRAL INDEX KEY:			0000928658
		STANDARD INDUSTRIAL CLASSIFICATION:	TRUCKING (NO LOCAL) [4213]
		IRS NUMBER:				880320154
		STATE OF INCORPORATION:			NV
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		400 BIRMINGHAM HIGHWAY
		CITY:			CHATTANOOGA
		STATE:			TN
		ZIP:			37419
		BUSINESS PHONE:		4238211212

	MAIL ADDRESS:	
		STREET 1:		400 BIRMINGHAM HIGHWAY
		CITY:			CHATTANOOGA
		STATE:			TN
		ZIP:			37419

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			MILLER LEONIDAS D
		CENTRAL INDEX KEY:			0001209707

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-24960
		FILM NUMBER:		04842083

	BUSINESS ADDRESS:	
		STREET 1:		400 BIRMINGHAM HIGHWAY
		CITY:			CHATTANOOGA
		STATE:			TN
		ZIP:			37419
		BUSINESS PHONE:		8005320341

	MAIL ADDRESS:	
		STREET 1:		400 BIRMINGHAM HIGHWAY
		CITY:			CHATTANOOGA
		STATE:			TN
		ZIP:			37419
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>ldmillerform4_ex.xml
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-05-27</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000928658</issuerCik>
        <issuerName>COVENANT TRANSPORT INC</issuerName>
        <issuerTradingSymbol>CVTI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001209707</rptOwnerCik>
            <rptOwnerName>MILLER LEONIDAS D</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>400 BIRMINGHAM HIGHWAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CHATTANOOGA</rptOwnerCity>
            <rptOwnerState>TN</rptOwnerState>
            <rptOwnerZipCode>37419</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Exec VP of Sales &amp; Marketing</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Employee Stock Option (Right-to-Buy) Class A Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>15.71</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2004-05-27</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>7500</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2005-05-27</value>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2014-05-27</value>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7500</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7500</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">The option to purchase 7,500 shares of Class A Common Stock is exercisable between May 27, 2005, and May 27, 2007, at the
rate of one-third per year.</footnote>
        <footnote id="F2">The option to purchase is subject to earlier termination in the event of termination of the reporting person's employment
 with the issuer. Termination provisions are set forth in the stock option agreement between the reporting person and the
 issuer and in the issuer's 2003 Incentive Stock Plan.</footnote>
        <footnote id="F3">Upon exercise, the derivative security converts on a one-for-one basis into Class A Common Stock. The reporting person does
 not have to pay for the derivative security upon grant. The exercise price of the derivative security is set forth in Column
 2 of Table II of this report.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Leonidas D. Miller, by Heidi Hornung-Scherr, attorney-in-fact, pursuant to a POA previously filed with the SEC</signatureName>
        <signatureDate>2004-06-01</signatureDate>
    </ownerSignature>
</ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
-----END PRIVACY-ENHANCED MESSAGE-----