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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3/A</documentType>

    <periodOfReport>2016-01-01</periodOfReport>

    <dateOfOriginalSubmission>2016-01-08</dateOfOriginalSubmission>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000845379</issuerCik>
        <issuerName>CHINA FUND INC</issuerName>
        <issuerTradingSymbol>CHN</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001663164</rptOwnerCik>
            <rptOwnerName>Grau William</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1633 BROADWAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>SEE REMARKS</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks>The Reporting Person is a Director, U.S. Head of Marketing and a member of the Executive Committee of Allianz Global Investors U.S. Holdings LLC, the body that performs executive oversight functions for Allianz Global Investors U.S. LLC, the Issuer's Investment Manager. This Form 3 amendment is being filed to update the Reporting Person's title.</remarks>

    <ownerSignature>
        <signatureName>/s/ William Grau</signatureName>
        <signatureDate>2016-01-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
