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    <periodOfReport>2010-12-31</periodOfReport>

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    <form4TransactionsReported>0</form4TransactionsReported>

    <issuer>
        <issuerCik>0001042046</issuerCik>
        <issuerName>AMERICAN FINANCIAL GROUP INC</issuerName>
        <issuerTradingSymbol>AFG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000942082</rptOwnerCik>
            <rptOwnerName>LINDNER CARL H III</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>ONE EAST FOURTH STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>CINCINNATI</rptOwnerCity>
            <rptOwnerState>OH</rptOwnerState>
            <rptOwnerZipCode>45202</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Co-CEO &amp; Co-President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
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            </securityTitle>
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        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
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            </transactionDate>
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        </nonDerivativeTransaction>
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                <value>Common Stock</value>
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                    <footnoteId id="F2"/>
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                    <footnoteId id="F1"/>
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        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionCoding>
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            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
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                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>#2</value>
                    <footnoteId id="F3"/>
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        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionCoding>
                <transactionFormType></transactionFormType>
            </transactionCoding>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
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                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>#12</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionCoding>
                <transactionFormType></transactionFormType>
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                <sharesOwnedFollowingTransaction>
                    <value>176166</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>#21</value>
                    <footnoteId id="F5"/>
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        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
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            <transactionCoding>
                <transactionFormType></transactionFormType>
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                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>#22</value>
                    <footnoteId id="F6"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionCoding>
                <transactionFormType></transactionFormType>
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            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                    <footnoteId id="F2"/>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>#24</value>
                    <footnoteId id="F7"/>
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            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionCoding>
                <transactionFormType></transactionFormType>
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                <sharesOwnedFollowingTransaction>
                    <value>221659</value>
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            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>#25</value>
                    <footnoteId id="F8"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionCoding>
                <transactionFormType></transactionFormType>
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            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1884457</value>
                    <footnoteId id="F2"/>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>#26</value>
                    <footnoteId id="F9"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionCoding>
                <transactionFormType></transactionFormType>
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                <sharesOwnedFollowingTransaction>
                    <value>2671</value>
                    <footnoteId id="F2"/>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>#27</value>
                    <footnoteId id="F10"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Indirect #1:  CHLIII, TTEE (or his Successors) of the Carl H. Lindner Family Trust DTD 8/29/02 as Amended.</footnote>
        <footnote id="F2">On 9/30/2010, Indirect #26 tranferred 39,763 shares of common stock to Indirect #1.  On 12/14/2010, Indirect #24 transferred 2,671 shares of common stock to Indirect #27.  On 12/31/2010, Indirect #26 transferred 36,022 shares of common stock to Indirect #1.</footnote>
        <footnote id="F3">Indirect #2:  Martha S. Lindner, (or her Successor) o the Martha S. Lindner Family Trust DTD 8/30/02 as amended. (c3)</footnote>
        <footnote id="F4">Indirect #12:  CHL Investments, LLC (c3)</footnote>
        <footnote id="F5">Indirect #21:  Doug Marcian, TTEE MBL Trust Dtd 10/26/05. (c3)</footnote>
        <footnote id="F6">Indirect #22:  Doug Marcian, TTEE GD Trust Dtd 10/26/05. (c3)</footnote>
        <footnote id="F7">Indirect #24:  KEL, TTEE Under Irrevocable Trust Agreement with CHL III and MSL, Grantors dated 9/26/1989. (c3)</footnote>
        <footnote id="F8">Indirect #25:  Lou Ann Flint, TTEE MBL 2009 Consolidation Trust DTD 12/22/09. (c3)</footnote>
        <footnote id="F9">Indirect #26:  CHL III 2010-1 Qualified Annuity Trust DTD 4/9/10. (c3)</footnote>
        <footnote id="F10">indirect #27:  LAF TTEE MBL 2009 Trust DTD 4/13/2009. (c3)</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Carl H. Lindner III
By:  Karl J. Grafe, as Attorney-in-Fact</signatureName>
        <signatureDate>2011-02-08</signatureDate>
    </ownerSignature>
</ownershipDocument>
