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

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2004-10-29</periodOfReport>

    <issuer>
        <issuerCik>0001179484</issuerCik>
        <issuerName>COMDISCO HOLDING CO INC</issuerName>
        <issuerTradingSymbol>CDCO</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001247134</rptOwnerCik>
            <rptOwnerName>DAVIDSON KEMPNER INTERNATIONAL ADVISORS LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>885 THIRD AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2004-10-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>572</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>20.75</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>362407</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2004-10-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>18</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>20.75</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>17139</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The 362,407 shares of the Issuer's common stock, par value $.01 per share (&quot;Shares&quot;), reported herein are held for the account of Davidson Kempner International, Ltd., a British Virgin Islands corporation (&quot;DKIL&quot;).  The Reporting Person is the manager of DKIL.</footnote>
        <footnote id="F2">The 17,139 Shares reported herein are held for the account of Serena Limited, a Cayman Islands corporation (&quot;Serena&quot;).  The Reporting Person is the manager of Serena.</footnote>
        <footnote id="F3">The filing of this statement shall not be deemed an admission that the Reporting Person is the beneficial owner of any securities not held directly for its account for purposes of Section 16 of the Securities Exchange Act of 1934, as amended (the &quot;Act&quot;), or otherwise.</footnote>
        <footnote id="F4">The Reporting Person may be deemed to be the beneficial owner of an aggregate of 379,546 Shares, which represents less than 10% of the Issuer's outstanding Shares.  However, the Reporting Person may be deemed to be a member of a &quot;group&quot; pursuant to Section 13(d) of the Act, that may be deemed to have aggregate beneficial ownership of more than 10% of the Issuer's outstanding Shares.  The filing of this statement shall not be deemed an admission that the Reporting Person is a member of any such &quot;group&quot; or that the Reporting Person is the beneficial owner of any Shares or securities owned by any other person.  The filing of this statement also shall not be deemed a determination that this filing is required under Section 16(a) of the Act.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Thomas L. Kempner, Jr., Managing Member of Davidson Kempner International Advisors, L.L.C.</signatureName>
        <signatureDate>2004-11-02</signatureDate>
    </ownerSignature>
</ownershipDocument>

