<SUBMISSION>
<ACCESSION-NUMBER>0001209191-18-038001
<TYPE>4
<PUBLIC-DOCUMENT-COUNT>1
<PERIOD>20180615
<FILING-DATE>20180615
<DATE-OF-FILING-DATE-CHANGE>20180615
<REPORTING-OWNER>
<OWNER-DATA>
<CONFORMED-NAME>Barnds Thomas
<CIK>0001474980
</OWNER-DATA>
<FILING-VALUES>
<FORM-TYPE>4
<ACT>34
<FILE-NUMBER>001-35882
<FILM-NUMBER>18902085
</FILING-VALUES>
<MAIL-ADDRESS>
<STREET1>C/O ACCEL-KKR CAPITAL PARTNERS III, LP
<STREET2>2500 SAND HILL ROAD, SUITE 300
<CITY>MENLO PARK
<STATE>CA
<ZIP>94025
</MAIL-ADDRESS>
</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>0001474980</rptOwnerCik>
            <rptOwnerName>Barnds Thomas</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>
    </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. BHN Holdings, Inc. and BHN Merger Sub, Inc. each issued and outstanding Share held by Mr. Barnds 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>
