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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-10-24</periodOfReport>

    <notSubjectToSection16>0</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, $0.10 par value</value>
            </securityTitle>
            <transactionDate>
                <value>2016-10-24</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>5095</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>15.5542</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1878000</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, $0.10 par value</value>
            </securityTitle>
            <transactionDate>
                <value>2016-10-25</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3737</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>15.54</value>
                    <footnoteId id="F4"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1881737</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F3"/>
                </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 the 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 (the &quot;Common Stock&quot;), of Vishay Precision Group, Inc. (the &quot;Issuer&quot;) purchased by certain private investment funds and manged accounts 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">The sales price represents a weighted average of the sales price for multiple transactions on the same trading day.  The range of sales prices was $15.53 to $15.56.  The Reporting Persons will provide upon request by the Commission staff, the Issuer, or a security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
        <footnote id="F3">Nokomis Capital holds indirectly 1,881,737 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 at the time of purchase, he controlled the disposition and voting of the securities.</footnote>
        <footnote id="F4">The sales price represents a weighted average of the sales price for multiple transactions on the same trading day.  The range of sales prices was $15.51 to $15.58.  The Reporting Persons will provide upon request by the Commission staff, the Issuer, or a security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Brett Hendrickson, manager of Nokomis Capital, L.L.C.</signatureName>
        <signatureDate>2016-10-26</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Brett Hendrickson</signatureName>
        <signatureDate>2016-10-26</signatureDate>
    </ownerSignature>
</ownershipDocument>
