<SUBMISSION>
<ACCESSION-NUMBER>0001209191-18-037999
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20180615
<FILING-DATE>20180615
<DATE-OF-FILING-DATE-CHANGE>20180615
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>BARD RICHARD H
<CIK>0000926739
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>001-35882
<FILM-NUMBER>18902068
</FILING-VALUES>
</REPORTING-OWNER>
<ISSUER>
<COMPANY-DATA>
<CONFORMED-NAME>BLACKHAWK NETWORK HOLDINGS, INC
<CIK>0001411488
<ASSIGNED-SIC>6199
<IRS-NUMBER>432099257
<STATE-OF-INCORPORATION>DE
<FISCAL-YEAR-END>1231
</COMPANY-DATA>
<BUSINESS-ADDRESS>
<STREET1>6220 STONERIDGE MALL ROAD
<CITY>PLEASANTON
<STATE>CA
<ZIP>94588
<PHONE>925-226-9990
</BUSINESS-ADDRESS>
<MAIL-ADDRESS>
<STREET1>6220 STONERIDGE MALL ROAD
<CITY>PLEASANTON
<STATE>CA
<ZIP>94588
</MAIL-ADDRESS>
<FORMER-COMPANY>
<FORMER-CONFORMED-NAME>BLACKHAWK NETWORK HOLDINGS INC
<DATE-CHANGED>20070904
</FORMER-COMPANY>
</ISSUER>
<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>2018-06-15</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001411488</issuerCik>
        <issuerName>BLACKHAWK NETWORK HOLDINGS, INC</issuerName>
        <issuerTradingSymbol>HAWK</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000926739</rptOwnerCik>
            <rptOwnerName>BARD RICHARD H</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O BLACKHAWK NETWORK HOLDINGS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>6220 STONERIDGE MALL ROAD</rptOwnerStreet2>
            <rptOwnerCity>PLEASANTON</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94588</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>2018-06-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3288</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>45.25</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Cmmon Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-06-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>11779</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>45.25</value>
                </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">At the effective time of the merger contemplated by the agreement and plan of merger, dated as of January 15, 2018, by and among Blackhawk Network Holdings, Inc. (the &quot;Company&quot;), BHN Holdings, Inc. and BHN Merger Sub, Inc. (the &quot;Effective Time&quot;) (i) each outstanding award of restricted stock units granted to Mr. Bard was cancelled and converted into the right to receive an amount in cash equal to the product obtained by multiplying (A) the total number of shares of common stock of the Company (&quot;Shares&quot;) subject to such award immediately prior to the Effective Time by (B) $45.25, less applicable taxes required to be withheld with respect to such payment and (ii) each issued and outstanding Share held by Mr. Bard was converted into the right to receive $45.25 in cash, without interest.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>KIRSTEN E. RICHESSON, Attorney-in-Fact</signatureName>
        <signatureDate>2018-06-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SUBMISSION>
