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

    <schemaVersion>X0303</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2011-05-27</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0000094610</issuerCik>
        <issuerName>SMURFIT-STONE CONTAINER Corp</issuerName>
        <issuerTradingSymbol>SSCC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001477135</rptOwnerCik>
            <rptOwnerName>Exner Michael P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>SMURFIT-STONE CONTAINER CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>SIX CITYPLACE DRIVE</rptOwnerStreet2>
            <rptOwnerCity>CREVE COEUR</rptOwnerCity>
            <rptOwnerState>MO</rptOwnerState>
            <rptOwnerZipCode>63141</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOfficer>1</isOfficer>
            <officerTitle>SVP &amp; GM-Containerboard Mills</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Restricted Stock Units</value>
            </securityTitle>
            <transactionDate>
                <value>2011-05-27</value>
            </transactionDate>
            <deemedExecutionDate>
                <footnoteId id="F1"/>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>39913</value>
                </transactionShares>
                <transactionPricePerShare>
                    <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>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>20.74</value>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2011-05-27</value>
            </transactionDate>
            <deemedExecutionDate>
                <footnoteId id="F1"/>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness></transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>126391</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F4"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2011-07-01</value>
            </exerciseDate>
            <expirationDate>
                <value>2017-07-01</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>126391</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Not Applicable.</footnote>
        <footnote id="F2">Options were priced at the average of the closing prices on the New York Stock Exchange for the 30 calendar days following the listing date of the underlying common stock.</footnote>
        <footnote id="F3">Pursuant to the merger agreement and the terms of the underlying Smurfit-Stone Equity Incentive Plan pursuant to which these Restricted Stock Units were granted each outstanding Restricted Stock Unit denominated in shares of the Issuer's common stock that remained outstanding immediately prior to the effective time of the Merger and was granted prior to January 23, 2011, was vested and was converted into the right to receive $17.50 in cash and 0.30605 of a share of Rock-Tenn common stock.</footnote>
        <footnote id="F4">Pursuant to the Merger Agreement, each option to purchase the Issuer's common stock that remained outstanding at the effective time of the Merger was assumed by Rock-Tenn and converted into an option to purchase a number of shares of Rock-Tenn common stock equal to the product of (i) the number of shares of Smurfit-Stone common stock subject to the option and (ii) the equity award exchange ratio, rounded down to the nearest whole share.  The per share exercise price for Rock-Tenn common stock issuable upon the exercise of such assumed stock option will be equal to (i) the per share exercise price of Smurfit-Stone common stock at which the option was exercisable immediately prior to the effective time of the merger divided by (ii) the equity award exchange ratio, rounded up to the nearest whole cent.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Craig A. Hunt, attorney-in-fact</signatureName>
        <signatureDate>2011-05-26</signatureDate>
    </ownerSignature>
</ownershipDocument>
