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

    <documentType>4</documentType><periodOfReport>2003-11-07</periodOfReport><notSubjectToSection16>0</notSubjectToSection16>
    <issuer>
        <issuerCik>0000078890</issuerCik>
        <issuerName>BRINKS CO</issuerName>
        <issuerTradingSymbol>BCO</issuerTradingSymbol></issuer><reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001241213</rptOwnerCik>
            <rptOwnerName>LENNON FRANK T</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1255 FLAT ROCK CROSSING</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>MANAKIN-SABOT</rptOwnerCity>
            <rptOwnerState>VA</rptOwnerState>
            <rptOwnerZipCode>23103</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
<isDirector>0</isDirector><isOfficer>1</isOfficer><isTenPercentOwner>0</isTenPercentOwner><isOther>0</isOther><officerTitle>VP - Human Res. &amp; Admin.</officerTitle></reportingOwnerRelationship></reportingOwner><derivativeTable><derivativeTransaction><securityTitle><value>BCO Stock Units</value></securityTitle><conversionOrExercisePrice><value>0</value><footnoteId id="F1" /></conversionOrExercisePrice><transactionDate><value>2003-11-07</value></transactionDate><deemedExecutionDate></deemedExecutionDate><transactionCoding><transactionFormType>4</transactionFormType><transactionCode>A</transactionCode><equitySwapInvolved>0</equitySwapInvolved></transactionCoding><transactionTimeliness><value></value></transactionTimeliness><transactionAmounts><transactionShares><value>249.0000</value><footnoteId id="F1" /></transactionShares><transactionPricePerShare><value>0</value><footnoteId id="F1" /></transactionPricePerShare><transactionAcquiredDisposedCode><value>A</value></transactionAcquiredDisposedCode></transactionAmounts><exerciseDate><value>2004-01-01</value><footnoteId id="F1" /></exerciseDate><expirationDate><value>2004-01-01</value><footnoteId id="F1" /></expirationDate><underlyingSecurity><underlyingSecurityTitle><value>The Brink's Company Common Stock</value></underlyingSecurityTitle><underlyingSecurityShares><value>249.0000</value><footnoteId id="F1" /></underlyingSecurityShares></underlyingSecurity><postTransactionAmounts><sharesOwnedFollowingTransaction><value>57059.0000</value><footnoteId id="F1" /></sharesOwnedFollowingTransaction></postTransactionAmounts><ownershipNature><directOrIndirectOwnership><value>D</value></directOrIndirectOwnership></ownershipNature></derivativeTransaction></derivativeTable><footnotes><footnote id="F1">This balance reflects an estimation of Units representing shares of The Brink's Company Common Stock ("BCO") to be credited to the Reporting Person's account under the Key Employees' Deferred Compensation Program (the "Program").  Under the terms of the Program, the Reporting Person has chosen to make bi-weekly salary deferrals to an incentive account.  As of January 1, 2004, the amount of salary deferred to the account will be converted into Units representing shares of BCO and credited to the Reporting Person's account in accordance with the terms of the Program.  Since the amounts contributed by the Reporting Person are in cash and not yet convertible into Units representing shares of BCO, the balance listed above is an estimate based upon trading prices of BCO for the two-week period ended November 7, 2003.</footnote></footnotes><remarks></remarks><ownerSignature><signatureName>/s/ Tracy R. Foard
Tracy R. Foard, Attorney-in-Fact for Frank T. Lennon</signatureName><signatureDate>2003-11-10</signatureDate></ownerSignature></ownershipDocument>

