<SUBMISSION>
<ACCESSION-NUMBER>0001043075-04-000004
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20040121
<FILING-DATE>20040122
<ISSUER>
<COMPANY-DATA>
<CONFORMED-NAME>VALERO L P
<CIK>0001110805
<ASSIGNED-SIC>4610
<IRS-NUMBER>742956831
<STATE-OF-INCORPORATION>DE
<FISCAL-YEAR-END>1231
</COMPANY-DATA>
<BUSINESS-ADDRESS>
<STREET1>P.O. BOX 500
<STREET2>P.O. BOX 500
<CITY>SAN ANTONIO
<STATE>TX
<ZIP>78292-0400
<PHONE>2103702000
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>P.O. BOX 500
<CITY>SAN ANTONIO
<STATE>TX
<ZIP>78292-0500
</MAIL-ADDRESS>
<FORMER-COMPANY>
<FORMER-CONFORMED-NAME>SHAMROCK LOGISTICS LP
<DATE-CHANGED>20000331
</FORMER-COMPANY>
</ISSUER>
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>KING GREGORY C
<CIK>0001043075
<ASSIGNED-SIC>4923
<STATE-OF-INCORPORATION>DE
<FISCAL-YEAR-END>1231
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>001-16417
<FILM-NUMBER>04537512
</FILING-VALUES>
<BUSINESS-ADDRESS>
<STREET1>P.O. BOX 500
<CITY>SAN ANTONIO
<STATE>TX
<ZIP>78292-0500
<PHONE>2103702000
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>P.O. BOX 500
<CITY>SAN ANTONIO
<STATE>TX
<ZIP>78292-0500
</MAIL-ADDRESS>
</REPORTING-OWNER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>edgar.xml
<DESCRIPTION>PRIMARY DOCUMENT
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType><periodOfReport>2004-01-21</periodOfReport>
    <issuer>
        <issuerCik>0001110805</issuerCik>
        <issuerName>VALERO L P</issuerName>
        <issuerTradingSymbol>VLI</issuerTradingSymbol></issuer><reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001043075</rptOwnerCik>
            <rptOwnerName>KING GREGORY C</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>P.O. BOX 500</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN ANTONIO</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>78292-0500</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>1</isDirector><isOfficer>0</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther></reportingOwnerRelationship></reportingOwner><nonDerivativeTable><nonDerivativeTransaction><securityTitle><value>Common Units (tax withheld for restricted unit vesting)</value></securityTitle><transactionDate><value>2004-01-21</value></transactionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>F</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionAmounts><transactionShares><value>485</value></transactionShares><transactionPricePerShare><value>49.90</value></transactionPricePerShare><transactionAcquiredDisposedCode><value>D</value></transactionAcquiredDisposedCode></transactionAmounts><postTransactionAmounts><sharesOwnedFollowingTransaction><value>8481</value></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership><natureOfOwnership><value/></natureOfOwnership></ownershipNature></nonDerivativeTransaction></nonDerivativeTable><footnotes/><remarks/><ownerSignature><signatureName>Gregory C. King (By Power of Attorney)</signatureName><signatureDate>2004-01-22</signatureDate></ownerSignature></ownershipDocument>

</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
