<SUBMISSION>
<ACCESSION-NUMBER>0001209191-08-015216
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20080301
<FILING-DATE>20080303
<DATE-OF-FILING-DATE-CHANGE>20080303
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>Olinger Thomas S
<CIK>0001391256
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>001-13545
<FILM-NUMBER>08661569
</FILING-VALUES>
<BUSINESS-ADDRESS>
<PHONE>415-394-9000
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>C/O AMB PROPERTY CORPORATION
<STREET2>PIER 1, BAY 1
<CITY>SAN FRANCISCO
<STATE>CA
<ZIP>94111
</MAIL-ADDRESS>
</REPORTING-OWNER>
<ISSUER>
<COMPANY-DATA>
<CONFORMED-NAME>AMB PROPERTY CORP
<CIK>0001045609
<ASSIGNED-SIC>6798
<IRS-NUMBER>943281941
<STATE-OF-INCORPORATION>MD
<FISCAL-YEAR-END>1231
</COMPANY-DATA>
<BUSINESS-ADDRESS>
<STREET1>PIER 1 BAY 1
<CITY>SAN FRANCISCO
<STATE>CA
<ZIP>94111
<PHONE>4153949000
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>PIER 1 BAY 1
<CITY>SAN FRANCISCO
<STATE>CA
<ZIP>94111
</MAIL-ADDRESS>
</ISSUER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2008-03-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001045609</issuerCik>
        <issuerName>AMB PROPERTY CORP</issuerName>
        <issuerTradingSymbol>AMB</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001391256</rptOwnerCik>
            <rptOwnerName>Olinger Thomas S</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O AMB PROPERTY CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>PIER 1, BAY 1</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94111</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Financial Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2008-03-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>715</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>50.29</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>25024</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Shares withheld upon release of restricted stock to cover taxes owing.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Tamra Browne pursuant to a power of attorney dated 03/01/07.</signatureName>
        <signatureDate>2008-03-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
