<SUBMISSION>
<ACCESSION-NUMBER>0001209191-08-061997
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20081119
<FILING-DATE>20081120
<DATE-OF-FILING-DATE-CHANGE>20081120
<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>COLE DAVID A
<CIK>0001213389
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>001-13545
<FILM-NUMBER>081205187
</FILING-VALUES>
<BUSINESS-ADDRESS>
<STREET1>C/O AMB PROPERTY CORP
<STREET2>PIER 1 BAY 1
<CITY>SAN FRANCISCO
<STATE>CA
<ZIP>94111
<PHONE>7707793900
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>600 GALLERIA PARKWAY STE 100
<CITY>ATLANTA
<STATE>GA
<ZIP>30339
</MAIL-ADDRESS>
</REPORTING-OWNER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2008-11-19</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001213389</rptOwnerCik>
            <rptOwnerName>COLE DAVID A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>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>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2008-11-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>5000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>13.12</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>50378</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">This is an aggregate weighted share purchase price.  The price range for the purchase of these shares was $12.80 - $13.33.</footnote>
        <footnote id="F2">Of the 50,378 shares beneficially owned, 34,729 shares are directly held (D) and 8,949 shares are indirectly (I) held through a rabbi trust pursuant to our nonqualified deferred compensation plan. 6,700 shares of common stock are held through a custodial account for Mr. Cole's children, and he has disclaimed beneficial ownership of these securities.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Tamra Browne pursuant to a power of attorney signed 5/8/2008.</signatureName>
        <signatureDate>2008-11-20</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
