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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-06-06</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001370702</issuerCik>
        <issuerName>ON Semiconductor Connectivity Solutions, Inc.</issuerName>
        <issuerTradingSymbol>QTNA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001468620</rptOwnerCik>
            <rptOwnerName>Dorchak Glenda</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ON SEMICONDUCTOR CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>5005 E. MCDOWELL ROAD</rptOwnerStreet2>
            <rptOwnerCity>PHOENIX</rptOwnerCity>
            <rptOwnerState>AZ</rptOwnerState>
            <rptOwnerZipCode>85008</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>2019-06-06</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>5555</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>22190</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2019-06-19</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>22190</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </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">Each share is represented by a Restricted Stock Unit (&quot;RSU&quot;). 100% of the RSUs will vest upon the earlier of the one (1) year anniversary of the grant date or the day prior to the Issuer's 2020 Annual Meeting occurring after the grant date, in each case, subject to the Reporting Person's continued service as of the applicable vesting date and acceleration of vesting upon a change of control.</footnote>
        <footnote id="F2">Each outstanding share of the Common Stock of the Issuer was converted into the right to receive $24.50 per share in cash, as described in the Merger Agreement.</footnote>
        <footnote id="F3">Certain of these securities were RSUs that represented the Reporting Person's right to receive Common Stock shares of the Issuer. The RSUs were cancelled and converted automatically into the right to receive $24.50 per share in cash, as described in the Merger Agreement.</footnote>
    </footnotes>

    <remarks>This Form 4 reports securities disposed pursuant to the terms of an Agreement and Plan of Merger (the &quot;Merger Agreement&quot;), dated as of March 27, 2019, a copy of which is filed as Exhibit 2.1 to the Form 8-K filed by Quantenna Communications, Inc. (the &quot;Issuer&quot;) with the SEC on March 27, 2019, and by which the Issuer became a wholly-owned subsidiary of ON Semiconductor Corporation (the &quot;Merger&quot;).  Effective as of the closing of the Merger on June 19, 2019, the Issuer's name of Quantenna Communications, Inc. was changed to ON Semiconductor Connectivity Solutions, Inc.</remarks>

    <ownerSignature>
        <signatureName>/s/ Tom MacMitchell, as Attorney-in-Fact</signatureName>
        <signatureDate>2019-06-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
