<SUBMISSION>
<ACCESSION-NUMBER>0001209191-14-056179
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20140903
<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>LEHMAN THOMAS M VON
<CIK>0001282696
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>001-08769
<FILM-NUMBER>141086490
</FILING-VALUES>
<MAIL-ADDRESS>
<STREET1>223 FOURTH AVE STE 1700
<CITY>PUTTSBURGH
<STATE>PA
<ZIP>15222
</MAIL-ADDRESS>
</REPORTING-OWNER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2014-09-03</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001282696</rptOwnerCik>
            <rptOwnerName>LEHMAN THOMAS M VON</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>13405 YARMOUTH ROAD, N.W.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>PICKERINGTON</rptOwnerCity>
            <rptOwnerState>OH</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Shares</value>
            </securityTitle>
            <transactionDate>
                <value>2014-09-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>102282</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Pursuant to that certain Agreement and Plan of Merger, dated May 1, 2014, among R. G. Barry Corporation, MRVK Merger Co. and MRGB Hold Co., each common share converted into the right to receive $19.00 in cash, without interest and less any applicable withholding taxes, at the effective time of the merger on September 3, 2014.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Jose G. Ibarra, Attorney in Fact for Thomas M. Von Lehman</signatureName>
        <signatureDate>2014-09-03</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
