<?xml version="1.0"?><?xml-stylesheet type="text/xsl" href="../4_X02.xsl"?><ownershipDocument>    <schemaVersion>X0303</schemaVersion>    <documentType>4</documentType>    <periodOfReport>2010-06-04</periodOfReport>    <notSubjectToSection16>0</notSubjectToSection16>    <issuer>        <issuerCik>0001325281</issuerCik>        <issuerName>KAPSTONE PAPER &amp; PACKAGING CORP</issuerName>        <issuerTradingSymbol>KS</issuerTradingSymbol>    </issuer>    <reportingOwner>        <reportingOwnerId>            <rptOwnerCik>0001327234</rptOwnerCik>            <rptOwnerName>Rahman Muhit</rptOwnerName>        </reportingOwnerId>        <reportingOwnerAddress>            <rptOwnerStreet1>8550 WILLOW RUN COURT</rptOwnerStreet1>            <rptOwnerStreet2></rptOwnerStreet2>            <rptOwnerCity>CINCINNATI</rptOwnerCity>            <rptOwnerState>OH</rptOwnerState>            <rptOwnerZipCode>45243</rptOwnerZipCode>            <rptOwnerStateDescription></rptOwnerStateDescription>        </reportingOwnerAddress>        <reportingOwnerRelationship>            <isDirector>0</isDirector>            <isOfficer>0</isOfficer>            <isTenPercentOwner>0</isTenPercentOwner>            <isOther>1</isOther>            <otherText>Former Director</otherText>        </reportingOwnerRelationship>    </reportingOwner>    <nonDerivativeTable>        <nonDerivativeTransaction>            <securityTitle>                <value>Common</value>            </securityTitle>            <transactionDate>                <value>2010-06-04</value>            </transactionDate>            <transactionCoding>                <transactionFormType>4</transactionFormType>                <transactionCode>P</transactionCode>                <equitySwapInvolved>0</equitySwapInvolved>            </transactionCoding>            <transactionTimeliness>                <value></value>            </transactionTimeliness>            <transactionAmounts>                <transactionShares>                    <value>20000</value>                    <footnoteId id="F1"/>                </transactionShares>                <transactionPricePerShare>                    <value>10.4815</value>                    <footnoteId id="F2"/>                </transactionPricePerShare>                <transactionAcquiredDisposedCode>                    <value>A</value>                </transactionAcquiredDisposedCode>            </transactionAmounts>            <postTransactionAmounts>                <sharesOwnedFollowingTransaction>                    <value>438100</value>                </sharesOwnedFollowingTransaction>            </postTransactionAmounts>            <ownershipNature>                <directOrIndirectOwnership>                    <value>D</value>                </directOrIndirectOwnership>            </ownershipNature>        </nonDerivativeTransaction>        <nonDerivativeTransaction>            <securityTitle>                <value>Common</value>            </securityTitle>            <transactionDate>                <value>2010-06-07</value>            </transactionDate>            <transactionCoding>                <transactionFormType>4</transactionFormType>                <transactionCode>P</transactionCode>                <equitySwapInvolved>0</equitySwapInvolved>            </transactionCoding>            <transactionTimeliness>                <value></value>            </transactionTimeliness>            <transactionAmounts>                <transactionShares>                    <value>20000</value>                    <footnoteId id="F1"/>                </transactionShares>                <transactionPricePerShare>                    <value>10.1407</value>                    <footnoteId id="F3"/>                </transactionPricePerShare>                <transactionAcquiredDisposedCode>                    <value>A</value>                </transactionAcquiredDisposedCode>            </transactionAmounts>            <postTransactionAmounts>                <sharesOwnedFollowingTransaction>                    <value>458100</value>                </sharesOwnedFollowingTransaction>            </postTransactionAmounts>            <ownershipNature>                <directOrIndirectOwnership>                    <value>D</value>                </directOrIndirectOwnership>            </ownershipNature>        </nonDerivativeTransaction>        <nonDerivativeTransaction>            <securityTitle>                <value>Common</value>            </securityTitle>            <transactionDate>                <value>2010-06-08</value>            </transactionDate>            <transactionCoding>                <transactionFormType>4</transactionFormType>                <transactionCode>P</transactionCode>                <equitySwapInvolved>0</equitySwapInvolved>            </transactionCoding>            <transactionTimeliness>                <value></value>            </transactionTimeliness>            <transactionAmounts>                <transactionShares>                    <value>10000</value>                    <footnoteId id="F1"/>                </transactionShares>                <transactionPricePerShare>                    <value>9.9408</value>                    <footnoteId id="F4"/>                </transactionPricePerShare>                <transactionAcquiredDisposedCode>                    <value>A</value>                </transactionAcquiredDisposedCode>            </transactionAmounts>            <postTransactionAmounts>                <sharesOwnedFollowingTransaction>                    <value>468100</value>                </sharesOwnedFollowingTransaction>            </postTransactionAmounts>            <ownershipNature>                <directOrIndirectOwnership>                    <value>D</value>                </directOrIndirectOwnership>            </ownershipNature>        </nonDerivativeTransaction>    </nonDerivativeTable>    <footnotes>        <footnote id="F1">The reporting person's purchases shown above were matchable under Section 16(b) of the Securities Exchange Act of 1934 with sales made by the reporting person within the six-month period prior to the reported purchases. The reporting person has agreed to pay to Kapstone Paper and Packaging Corporation $110,687.39, representing the full amount of the profit realized in connection with the short-swing transaction, less transaction costs</footnote>        <footnote id="F2">The price is weighted average price. The reporting person will provide any security holder of the issuer, or the SEC staff, upon request, information regarding the number of shares purchased at each price within a range of $10.42 - $10.52.</footnote>        <footnote id="F3">The price is weighted average price. The reporting person will provide any security holder of the issuer, or the SEC staff, upon request, information regarding the number of shares purchased at each price within a range of $10.05 - $10.20.</footnote>        <footnote id="F4">The price is weighted average price. The reporting person will provide any security holder of the issuer, of the SEC staff, upon request, information regarding the number of shares purchased at each price within a range of $9.88 - $10.</footnote>    </footnotes>    <ownerSignature>        <signatureName>Muhit Rahman by Power of Attorney</signatureName>        <signatureDate>2010-06-09</signatureDate>    </ownerSignature></ownershipDocument>
