<SUBMISSION>
<ACCESSION-NUMBER>0001209191-14-056138
<TYPE>4/A
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20140206
<FILING-DATE>20140905
<DATE-OF-FILING-DATE-CHANGE>20140905
<ISSUER>
<COMPANY-DATA>
<CONFORMED-NAME>BARRY R G CORP /OH/
<CIK>0000749872
<ASSIGNED-SIC>3140
<IRS-NUMBER>314362899
<STATE-OF-INCORPORATION>OH
<FISCAL-YEAR-END>0703
</COMPANY-DATA>
<BUSINESS-ADDRESS>
<STREET1>13405 YARMOUTH RD NW
<CITY>PICKERINGTON
<STATE>OH
<ZIP>43147
<PHONE>6148646400
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>13405 YARMOUTH RD NW
<CITY>PICKERINGTON
<STATE>OH
<ZIP>43147
</MAIL-ADDRESS>
</ISSUER>
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>SMITH LEE F
<CIK>0001383917
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4/A
<ACT>34
<FILE-NUMBER>001-08769
<FILM-NUMBER>141086152
</FILING-VALUES>
<MAIL-ADDRESS>
<STREET1>13405 YARMOUTH ROAD NW
<CITY>PICKERINGTON
<STATE>OH
<ZIP>43147
</MAIL-ADDRESS>
</REPORTING-OWNER>
<DOCUMENT>
<TYPE>4/A
<SEQUENCE>1
<FILENAME>doc4a.xml
<DESCRIPTION>FORM 4/A SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2014-02-06</periodOfReport>

    <dateOfOriginalSubmission>2014-02-07</dateOfOriginalSubmission>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0000749872</issuerCik>
        <issuerName>BARRY R G CORP /OH/</issuerName>
        <issuerTradingSymbol>DFZ</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001383917</rptOwnerCik>
            <rptOwnerName>SMITH LEE F</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>13405 YARMOUTH ROAD, N.W.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PICKERINGTON</rptOwnerCity>
            <rptOwnerState>OH</rptOwnerState>
            <rptOwnerZipCode>43147</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President - Dearfoams Brand</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2014-02-06</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>4221</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4221</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4221</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Award of restricted stock units, the vesting of which will occur on the third anniversary of the grant date, subject to the continued effectiveness of the award agreement applicable to the award, and the continued employment by the Company or its subsidiaries of the recipient, as of the vesting date.  The original Form 4 reporting this award inadvertently failed to include 3,166 of these restricted stock units and provided an inaccurate description of the vesting schedule.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Jose G. Ibarra, Attorney in Fact for Lee F. Smith</signatureName>
        <signatureDate>2014-09-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
