<SEC-DOCUMENT>0001140361-15-033798.txt : 20150828
<SEC-HEADER>0001140361-15-033798.hdr.sgml : 20150828
<ACCEPTANCE-DATETIME>20150828163601
ACCESSION NUMBER:		0001140361-15-033798
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20150826
FILED AS OF DATE:		20150828
DATE AS OF CHANGE:		20150828

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			OLD DOMINION FREIGHT LINE INC/VA
		CENTRAL INDEX KEY:			0000878927
		STANDARD INDUSTRIAL CLASSIFICATION:	TRUCKING (NO LOCAL) [4213]
		IRS NUMBER:				560751714
		STATE OF INCORPORATION:			VA
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		500 OLD DOMINION WAY
		CITY:			THOMASVILLE
		STATE:			NC
		ZIP:			27360
		BUSINESS PHONE:		3368895000

	MAIL ADDRESS:	
		STREET 1:		500 OLD DOMINION WAY
		CITY:			THOMASVILLE
		STATE:			NC
		ZIP:			27360

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Gantt Greg C
		CENTRAL INDEX KEY:			0001488810

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	000-19582
		FILM NUMBER:		151082529

	MAIL ADDRESS:	
		STREET 1:		2116 MIRUS COURT
		CITY:			HIGH POINT
		STATE:			NC
		ZIP:			27265
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc1.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-08-26</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000878927</issuerCik>
        <issuerName>OLD DOMINION FREIGHT LINE INC/VA</issuerName>
        <issuerTradingSymbol>ODFL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001488810</rptOwnerCik>
            <rptOwnerName>Gantt Greg C</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O OLD DOMINION FREIGHT LINE, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>500 OLD DOMINION WAY</rptOwnerStreet2>
            <rptOwnerCity>THOMASVILLE</rptOwnerCity>
            <rptOwnerState>NC</rptOwnerState>
            <rptOwnerZipCode>27360</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President and COO</officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2015-08-26</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>I</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>1537</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>65.08</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4529</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By 401(k) plan</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Includes 443 additional shares acquired by the 401(k) plan since the date of the reporting person's last Form 4 filing reporting 401(k) plan shares.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Ross H. Parr, by Power of Attorney</signatureName>
        <signatureDate>2015-08-28</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
