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

    <documentType>4</documentType>
    <periodOfReport>2003-10-24</periodOfReport>
    <notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000009626</issuerCik>
        <issuerName>BANK OF NEW YORK CO INC</issuerName>
        <issuerTradingSymbol>BK</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001209486</rptOwnerCik>
            <rptOwnerName>MUELLER ROBERT J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>THE BANK OF NEW YORK</rptOwnerStreet1>
            <rptOwnerStreet2>ONE WALL STREET</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10286</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Senior Exec Vice President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>
  <nonDerivativeTable>
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      <securityTitle>
          <value>Common Stock (Par Value $7.50)</value>
      </securityTitle>
      <transactionDate>
          <value>2003-01-01</value>
      </transactionDate>
      <transactionCoding>
          <transactionFormType>5</transactionFormType>
          <transactionCode>L</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>110.23</value>
          </transactionShares>
          <transactionPricePerShare>
              <value>23.96</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>A</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>337009.11</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Common Stock (Par Value $7.50)</value>
      </securityTitle>
      <transactionDate>
          <value>2003-02-06</value>
      </transactionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>L</transactionCode>
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      </transactionCoding>
      <transactionTimeliness>
      <value />
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      <transactionAmounts>
          <transactionShares>
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          </transactionShares>
          <transactionPricePerShare>
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          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
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          </transactionAcquiredDisposedCode>
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      <postTransactionAmounts>
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          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
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      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
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      </securityTitle>
      <transactionDate>
          <value>2003-04-28</value>
      </transactionDate>
      <transactionCoding>
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          <transactionCode>G</transactionCode>
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      </transactionCoding>
      <transactionTimeliness>
      <value />
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      <transactionAmounts>
          <transactionShares>
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          </transactionShares>
          <transactionPricePerShare>
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          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
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          </sharesOwnedFollowingTransaction>
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      <ownershipNature>
          <directOrIndirectOwnership>
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      </ownershipNature>
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   <nonDerivativeTransaction>
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          <value>Common Stock (Par Value $7.50)</value>
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      <transactionDate>
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          </transactionPricePerShare>
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      <ownershipNature>
          <directOrIndirectOwnership>
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   <nonDerivativeTransaction>
      <securityTitle>
          <value>Common Stock (Par Value $7.50)</value>
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      <transactionDate>
          <value>2003-07-31</value>
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      <transactionCoding>
          <transactionFormType>4</transactionFormType>
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      <transactionAmounts>
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          <transactionPricePerShare>
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      <postTransactionAmounts>
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      <ownershipNature>
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   <nonDerivativeTransaction>
      <securityTitle>
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      </securityTitle>
      <transactionDate>
          <value>2003-10-24</value>
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      <transactionTimeliness>
      <value />
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      <transactionAmounts>
          <transactionShares>
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          </transactionShares>
          <transactionPricePerShare>
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          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>A</value>
          </transactionAcquiredDisposedCode>
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      <postTransactionAmounts>
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          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
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      </ownershipNature>
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   <nonDerivativeTransaction>
      <securityTitle>
          <value>Common Stock (Par Value $7.50)</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-24</value>
      </transactionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>M</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
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          </transactionShares>
          <transactionPricePerShare>
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          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>A</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>431375.56</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
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      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Common Stock (Par Value $7.50)</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-24</value>
      </transactionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
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      <transactionTimeliness>
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      <transactionAmounts>
          <transactionShares>
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          </transactionShares>
          <transactionPricePerShare>
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          <transactionAcquiredDisposedCode>
              <value>D</value>
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      <postTransactionAmounts>
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          </sharesOwnedFollowingTransaction>
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      <transactionDate>
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      <transactionCoding>
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          <transactionCode>S</transactionCode>
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      <transactionTimeliness>
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      <transactionAmounts>
          <transactionShares>
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          </transactionShares>
          <transactionPricePerShare>
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          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
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      <postTransactionAmounts>
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      <ownershipNature>
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          <value>Common Stock (Par Value $7.50)</value>
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      <transactionDate>
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      <transactionCoding>
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      <transactionTimeliness>
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      <transactionAmounts>
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          <transactionPricePerShare>
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          <transactionAcquiredDisposedCode>
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      <postTransactionAmounts>
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          <value>Common Stock (Par Value $7.50)</value>
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      <transactionDate>
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      <transactionTimeliness>
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          <transactionAcquiredDisposedCode>
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      <transactionDate>
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      <transactionAmounts>
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      <securityTitle>
          <value>Common Stock (Par Value $7.50)</value>
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      <transactionDate>
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      <transactionCoding>
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      <transactionAmounts>
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      <transactionDate>
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          <transactionPricePerShare>
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          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>345915.56</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Common Stock (Par Value $7.50)</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-24</value>
      </transactionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>1319.00</value>
          </transactionShares>
          <transactionPricePerShare>
              <value>30.11</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>344596.56</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
   <nonDerivativeTransaction>
      <securityTitle>
          <value>Common Stock (Par Value $7.50)</value>
      </securityTitle>
      <transactionDate>
          <value>2003-10-24</value>
      </transactionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>S</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>1837.00</value>
          </transactionShares>
          <transactionPricePerShare>
              <value>30.12</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>342759.56</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
    <nonDerivativeHolding>
      <securityTitle>
          <value>Common Stock (Par Value $7.50)</value>
      </securityTitle>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>69492.00</value>
              <footnoteId id="F1" />
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>Held by Spouse</value>
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeHolding>
    <nonDerivativeHolding>
      <securityTitle>
          <value>Grantor Retained Annuity Trust</value>
      </securityTitle>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>150000.00</value>
              <footnoteId id="F2" />
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>by GRAT</value>
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeHolding>
  </nonDerivativeTable>
  <derivativeTable>
   <derivativeTransaction>
      <securityTitle>
          <value>Options</value>
      </securityTitle>
      <conversionOrExercisePrice>
          <value>6.5000</value>
      </conversionOrExercisePrice>
      <transactionDate>
          <value>2003-10-24</value>
      </transactionDate>
      <transactionCoding>
          <transactionFormType>5</transactionFormType>
          <transactionCode>M</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionAmounts>
          <transactionShares>
              <value>88616.00</value>
          </transactionShares>
          <transactionPricePerShare>
              <value>6.50</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <exerciseDate>
          <value>1995-03-08</value>
      </exerciseDate>
      <expirationDate>
          <value>2004-03-08</value>
      </expirationDate>
      <underlyingSecurity>
          <underlyingSecurityTitle>
              <value>Common Stock (Par Value $7.50)</value>
          </underlyingSecurityTitle>
          <underlyingSecurityShares>
              <value>88616.00</value>
          </underlyingSecurityShares>
      </underlyingSecurity>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>1327692.00</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </derivativeTransaction>
   <derivativeTransaction>
      <securityTitle>
          <value>Options</value>
      </securityTitle>
      <conversionOrExercisePrice>
          <value>17.2500</value>
      </conversionOrExercisePrice>
      <transactionDate>
          <value>2003-10-24</value>
      </transactionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>M</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionAmounts>
          <transactionShares>
              <value>5796.00</value>
          </transactionShares>
          <transactionPricePerShare>
              <value>17.25</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>D</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <exerciseDate>
          <value>1995-03-08</value>
      </exerciseDate>
      <expirationDate>
          <value>2007-01-14</value>
      </expirationDate>
      <underlyingSecurity>
          <underlyingSecurityTitle>
              <value>Common Stock (Par Value $7.50)</value>
          </underlyingSecurityTitle>
          <underlyingSecurityShares>
              <value>5796.00</value>
          </underlyingSecurityShares>
      </underlyingSecurity>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>1321896.00</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </derivativeTransaction>
  </derivativeTable>
<footnotes>
   <footnote id="F1">Reporting person disclaims beneficial ownership of these securities.</footnote>
   <footnote id="F2">These shares were previously reported as directly beneficially owned but were contributed to a grantor retained annuity trust on
August 27, 2003.</footnote>
</footnotes>
<remarks></remarks>    <ownerSignature>
       <signatureName>Robert J. Mueller</signatureName>
       <signatureDate>2003-10-24</signatureDate>
    </ownerSignature>
</ownershipDocument>

