<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-06-04</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000918946</issuerCik>
        <issuerName>BRIGHTPOINT  INC</issuerName>
        <issuerTradingSymbol>CELL</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001241259</rptOwnerCik>
            <rptOwnerName>WAGNER ROBERT FRANCIS</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BRIGHTPOINT, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>501 AIRTECH PARKWAY</rptOwnerStreet2>
            <rptOwnerCity>PLAINFIELD</rptOwnerCity>
            <rptOwnerState>IN</rptOwnerState>
            <rptOwnerZipCode>46168</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>2004-06-04</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2000.0000</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>11219.0000</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">These are shares of restricted stock granted pursuant to the Registrant's Amended and Restated Independent Directors Stock Compensation Plan (&quot;Plan&quot;).  According to the terms of the Plan, among other things, the shares vest 50% on the first anniversary of the grant, and 50% on the second anniversary of the grant.  The shares are subject to forfeiture if the reporting person's service as a director ends prior to vesting; provided, that the Board of Directors, in its discretion, can accelerate the vesting with respect to those shares due to vest in the year of such termination. The shares are subject to a three-year restriction on sale or transfer from the date of grant.</footnote>
        <footnote id="F2">The number of shares reported as beneficially owned by the reporting person includes 78 shares held by the reporting person in a joint account with his emancipated son who does not live in the same household as the reporting person.  The reporting person disclaims beneficial ownership of these 78 shares and the inclusion of these 78 shares in this report shall not be deemed an admission that the person is the beneficial owner of these 78 shares for purposes of Section 16 of the Securities Exchange Act of 1934 or for any other purpose.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Steven E. Fivel, Attorney-in-Fact</signatureName>
        <signatureDate>2004-06-04</signatureDate>
    </ownerSignature>
</ownershipDocument>

