-----BEGIN PRIVACY-ENHANCED MESSAGE-----
Proc-Type: 2001,MIC-CLEAR
Originator-Name: webmaster@www.sec.gov
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MIC-Info: RSA-MD5,RSA,
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<SEC-DOCUMENT>0001140361-03-004788.txt : 20031208
<SEC-HEADER>0001140361-03-004788.hdr.sgml : 20031208
<ACCEPTANCE-DATETIME>20031208155122
ACCESSION NUMBER:		0001140361-03-004788
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20031204
FILED AS OF DATE:		20031208

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			WTH TRUST OF 1995
		CENTRAL INDEX KEY:			0001199179

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-07615
		FILM NUMBER:		031042627

	MAIL ADDRESS:	
		STREET 1:		5005 WOODWAY
		STREET 2:		SUITE 200
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77056

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			KIRBY CORP
		CENTRAL INDEX KEY:			0000056047
		STANDARD INDUSTRIAL CLASSIFICATION:	WATER TRANSPORTATION [4400]
		IRS NUMBER:				741884980
		STATE OF INCORPORATION:			NV
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		55 WAUGH DRIVE SUITE 1000
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77385
		BUSINESS PHONE:		7134351000

	MAIL ADDRESS:	
		STREET 1:		P.O. BOX 1745
		CITY:			HOUSTON
		STATE:			TX
		ZIP:			77251

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	KIRBY EXPLORATION CO INC
		DATE OF NAME CHANGE:	19900510
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc1.xml
<DESCRIPTION>FORM 4
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>
<periodOfReport>2003-12-04</periodOfReport>
<notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000056047</issuerCik>
        <issuerName>KIRBY CORP</issuerName>
        <issuerTradingSymbol>KEX</issuerTradingSymbol>
</issuer>
<reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001199179</rptOwnerCik>
            <rptOwnerName>WTH TRUST OF 1995</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>5005 WOODWAY</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 200</rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77056</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector>
<isOfficer>0</isOfficer>
<isTenPercentOwner>0</isTenPercentOwner>
<isOther>1</isOther>
<officerTitle></officerTitle>
<otherText>Trust with Insider Trustee</otherText>
</reportingOwnerRelationship>
</reportingOwner>
<nonDerivativeTable>
<nonDerivativeTransaction>
<securityTitle>
<value>Common Stock, par value $.10 per share</value>
</securityTitle>
<transactionDate>
<value>2003-12-04</value>
</transactionDate>
<deemedExecutionDate>
</deemedExecutionDate>
<transactionCoding>
<transactionFormType>4</transactionFormType>
<transactionCode>S</transactionCode>
<equitySwapInvolved>0</equitySwapInvolved>
</transactionCoding>
<transactionTimeliness>
<value></value>
</transactionTimeliness>
<transactionAmounts>
<transactionShares>
<value>2860</value>
</transactionShares>
<transactionPricePerShare>
<value>31.00</value>
</transactionPricePerShare>
<transactionAcquiredDisposedCode>
<value>D</value>
</transactionAcquiredDisposedCode>
</transactionAmounts>
<postTransactionAmounts>
<sharesOwnedFollowingTransaction>
<value>2000</value>
</sharesOwnedFollowingTransaction>
</postTransactionAmounts>
<ownershipNature>
<directOrIndirectOwnership>
<value>D</value>
<footnoteId id="F1"/>
</directOrIndirectOwnership>
<natureOfOwnership>
<value></value>
</natureOfOwnership>
</ownershipNature>
</nonDerivativeTransaction>
</nonDerivativeTable>
<footnotes>
<footnote id="F1">George A. Peterkin, Jr., a director of Kirby Corporation, is Trustee of this Trust, and Mr. Peterkin&#039;s grandchild is beneficiary of the Trust.


</footnote>
</footnotes>
<remarks></remarks>
<ownerSignature>
<signatureName>G. Stephen Holcomb, Agent and Attorney-in-Fact</signatureName>
<signatureDate>2003-12-08</signatureDate>
</ownerSignature>
</ownershipDocument>

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