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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-06-10</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001487952</issuerCik>
        <issuerName>Vishay Precision Group, Inc.</issuerName>
        <issuerTradingSymbol>VPG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001541055</rptOwnerCik>
            <rptOwnerName>Nokomis Capital, L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2305 CEDAR SPRINGS RD., SUITE 420</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75201</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001337431</rptOwnerCik>
            <rptOwnerName>Hendrickson Brett</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2305 CEDAR SPRINGS RD., SUITE 420</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75201</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.10 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2020-06-10</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>650000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>23.50</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1243218</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The filing of this Form 4 shall not be construed as an admission that Nokomis Capital, L.L.C. (&quot;Nokomis Capital&quot;) or Brett Hendrickson, the manager of Nokomis Capital, is or was for purposes of Section 16(a) of the Securities Exchange Act of 1934, as amended, or otherwise the beneficial owner of any of the Common Stock, $0.10 par value per share (the &quot;Common Stock&quot;), of Vishay Precision Group, Inc. (the &quot;Issuer&quot;) held by certain private investment funds advised by Nokomis Capital (collectively, the &quot;Nokomis Accounts&quot;).  Pursuant to Rule 16a-1, both Nokomis Capital and Mr. Hendrickson disclaim such beneficial ownership.</footnote>
        <footnote id="F2">Nokomis Capital holds indirectly 1,243,218 shares of Common Stock of the Issuer through the Nokomis Accounts, for which Nokomis Capital is the Investment Manager. Brett Hendrickson reports the Common Stock held indirectly by Nokomis Capital because, as the manager of Nokomis Capital, he controlled the disposition and voting of such securities.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>NOKOMIS CAPITAL, L.L.C., Name: /s/ Brett Hendrickson, Title: Manager</signatureName>
        <signatureDate>2020-06-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>BRETT HENDRICKSON, Name: /s/ Brett Hendrickson</signatureName>
        <signatureDate>2020-06-12</signatureDate>
    </ownerSignature>
</ownershipDocument>
