<SUBMISSION>
<ACCESSION-NUMBER>0001209191-08-013149
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20080221
<FILING-DATE>20080225
<DATE-OF-FILING-DATE-CHANGE>20080225
<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>
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>ROBERTS JOHN T JR
<CIK>0001213056
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>001-13545
<FILM-NUMBER>08641022
</FILING-VALUES>
<BUSINESS-ADDRESS>
<STREET1>AMB PROPERTY CORP
<STREET2>PIER 1 BAY 1
<CITY>SAN FRANCISCO
<STATE>CA
<ZIP>94111
<PHONE>4153949000
</BUSINESS-ADDRESS>
</REPORTING-OWNER>
<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>2008-02-21</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001213056</rptOwnerCik>
            <rptOwnerName>ROBERTS JOHN T JR</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>President, Private Capital</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2008-02-21</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>28552</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>48.76</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>258437</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Shares were granted pursuant to the Company's 2002 Amended and Restated Stock Option and Incentive Plan and are subject to a repurchase right held by AMB Property Corporation, which lapses as to one-fourth of such shares annually on February 1.  The repurchase right lapses fully on February 1, 2012.</footnote>
        <footnote id="F2">Of the 258,437 securities beneficially owned,  49,093 are held directly (D), 120,000 are indirectly (I) owned through the Roberts Family Trust, 690 securities are indirectly held through custodial accounts for children and 88,654 securities are held indirectly (I) through a rabbi trust pursuant to our nonqualified deferred compensation plans.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Tamra Browne pursuant to a power of attorney dated 01/15/03.</signatureName>
        <signatureDate>2008-02-25</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
