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

    <documentType>4</documentType>
    <periodOfReport>2004-01-01</periodOfReport>
    <notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000023675</issuerCik>
        <issuerName>CNF INC</issuerName>
        <issuerTradingSymbol>CNF</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001190382</rptOwnerCik>
            <rptOwnerName>ROGERS ROBERT D</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>TEXAS INDUSTRIES, INC.TEXAS INDUSTRIES,</rptOwnerStreet1>
            <rptOwnerStreet2>1341 W. MOCKINGBIRD LANE, #700W1341 W. M</rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75247-6913</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>2004-01-01</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2004-01-01</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>A</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionTimeliness>
      <value />
      </transactionTimeliness>
      <transactionAmounts>
          <transactionShares>
              <value>737.0000</value>
          </transactionShares>
          <transactionPricePerShare>
              <value>0</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>A</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>2619.0000</value>
              <footnoteId id="F1" />
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </nonDerivativeTransaction>
    <nonDerivativeHolding>
      <securityTitle>
          <value>Common Stock</value>
      </securityTitle>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>5251.0000</value>
              <footnoteId id="F1" />
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>I</value>
          </directOrIndirectOwnership>
          <natureOfOwnership>
              <value>Trust</value>
              <footnoteId id="F2" />
          </natureOfOwnership>
      </ownershipNature>
   </nonDerivativeHolding>
  </nonDerivativeTable>
  <derivativeTable>
   <derivativeTransaction>
      <securityTitle>
          <value>Non-Employer Director Stock Option - Right to Buy</value>
      </securityTitle>
      <conversionOrExercisePrice>
          <value>33.90</value>
      </conversionOrExercisePrice>
      <transactionDate>
          <value>2004-01-01</value>
      </transactionDate>
      <deemedExecutionDate>
          <value>2004-01-01</value>
      </deemedExecutionDate>
      <transactionCoding>
          <transactionFormType>4</transactionFormType>
          <transactionCode>A</transactionCode>
          <equitySwapInvolved>0</equitySwapInvolved>
      </transactionCoding>
      <transactionAmounts>
          <transactionShares>
              <value>2500.0000</value>
          </transactionShares>
          <transactionPricePerShare>
              <value>33.90</value>
          </transactionPricePerShare>
          <transactionAcquiredDisposedCode>
              <value>A</value>
          </transactionAcquiredDisposedCode>
      </transactionAmounts>
      <exerciseDate>
              <footnoteId id="F3" />
      </exerciseDate>
      <expirationDate>
          <value>2014-01-01</value>
      </expirationDate>
      <underlyingSecurity>
          <underlyingSecurityTitle>
              <value>Common Stock</value>
          </underlyingSecurityTitle>
          <underlyingSecurityShares>
              <value>2500.0000</value>
          </underlyingSecurityShares>
      </underlyingSecurity>
      <postTransactionAmounts>
          <sharesOwnedFollowingTransaction>
              <value>2500.0000</value>
          </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
          <directOrIndirectOwnership>
              <value>D</value>
          </directOrIndirectOwnership>
      </ownershipNature>
   </derivativeTransaction>
  </derivativeTable>
<footnotes>
   <footnote id="F1">Total includes a transfer of 332 shares from direct holdings to Trust.</footnote>
   <footnote id="F2">These shares are held in a trust in which the reporting person and his spouse are the settlers, trustees and beneficiaries.
      </footnote>
   <footnote id="F3">Each option granted under the Plan shall vest and become exercisable as to 1/12 of the shares covered thereby on a monthly basis
such that the option will be fully exercisable one year after its date of grant.</footnote>
</footnotes>
<remarks></remarks>    <ownerSignature>
       <signatureName>Eberhard G.H. Schmoller, Attorney-in-Fact</signatureName>
       <signatureDate>2004-01-02</signatureDate>
    </ownerSignature>
</ownershipDocument>

