<?xml version="1.0"?>
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>4</documentType>
    <periodOfReport>2003-12-22</periodOfReport>
    <notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000004962</issuerCik>
        <issuerName>AMERICAN EXPRESS CO</issuerName>
        <issuerTradingSymbol>AXP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001274252</rptOwnerCik>
            <rptOwnerName>AMBLE JOAN LORDI</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>AMERICAN EXPRESS TOWER</rptOwnerStreet1>
            <rptOwnerStreet2>3 WORLD FINANCIAL CENTER</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10285-5003</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Senior Vice President</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>
  <nonDerivativeTable>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Common Shares</value>
      </securityTitle>
      <transactionDate>
          <value>2003-12-22</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-12-22</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>A</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>92000.000</value>
          </transactionShares>
          <transactionPricePerShare>
              <value>0</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>A</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>92000.000</value>
              <footnoteId id="F1" />
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
  </nonDerivativeTable>
  <derivativeTable>
   <derivativeTransaction>
      <securityTitle>
          <value>Employee stock option (right to buy)</value>
      </securityTitle>
      <conversionOrExercisePrice>
          <value>47.305</value>
      </conversionOrExercisePrice>
      <transactionDate>
          <value>2003-12-22</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2003-12-22</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>A</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionAmounts>
          <transactionShares>
              <value>95000.000</value>
          </transactionShares>
          <transactionPricePerShare>
              <value>0</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>A</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <exerciseDate>
          <value>2004-12-22</value>
              <footnoteId id="F2" />
      </exerciseDate>
      <expirationDate>
          <value>2013-12-22</value>
      </expirationDate>
      <underlyingSecurity>
          <underlyingSecurityTitle>
              <value>Common Shares</value>
          </underlyingSecurityTitle>
          <underlyingSecurityShares>
              <value>95000.000</value>
          </underlyingSecurityShares>
      </underlyingSecurity>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>95000.000</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </derivativeTransaction>
  </derivativeTable>
<footnotes>
   <footnote id="F1">These shares represent a restricted stock award which will vest in 7 installments over 10 years subject to continuous employment.
</footnote>
   <footnote id="F2">These options will vest in four equal annual installments beginning on the date shown as "Date Exercisable."</footnote>
</footnotes>
<remarks></remarks>    <ownerSignature>
       <signatureName>Joan Lordi Amble</signatureName>
       <signatureDate>2003-12-23</signatureDate>
    </ownerSignature>
</ownershipDocument>

