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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2021-04-26-05:00</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000730669</issuerCik>
        <issuerName>FCCC INC</issuerName>
        <issuerTradingSymbol>FCIC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001843851</rptOwnerCik>
            <rptOwnerName>He Huijun</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>7700 IRVINE CENTER DRIVE STE 800</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>IRVINE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92618</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>false</isDirector>
            <isOfficer>true</isOfficer>
            <isTenPercentOwner>true</isTenPercentOwner>
            <isOther>false</isOther>
            <officerTitle>CEO and Vice President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>380000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>456000</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Subscription Agreement</value>
                <footnoteId id="F2"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.23</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <value>2021-07-25-05:00</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>695652</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Option to Purchase Convertible Promissory Note</value>
                <footnoteId id="F3"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>0.23</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F3"/>
            </exerciseDate>
            <expirationDate>
                <value>2021-07-25-05:00</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>290458</value>
                    <footnoteId id="F3"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">American Public Investment Co. (&quot;API&quot;) is a direct beneficial owner of 1,520,000 shares of the Issuer's common stock. Mr. He is an officer, director and a thirty percent (30%) shareholder of API. Mr. He disclaims beneficial ownership of any securities beneficially owned by API, except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F2">On April 26, 2021, the Issuer entered into a Subscription Agreement (the &quot;Subscription Agreement&quot;) with Mr. He to issue and sell 695,652 shares (the &quot;Shares&quot;) of the Issuer's common stock to Mr. He for a price of $159,999.96, or $0.23 per share (the &quot;Private Placement&quot;). Pursuant to the terms of the Subscription Agreement, the sale of the Shares will take place, at the election of Mr. He, on or before July 25, 2021.</footnote>
        <footnote id="F3">On April 26, 2021, Mr. He entered into an Note Purchase Option Agreement (the &quot;Option Agreement&quot;) with Mr. Frederick L. Farrar, whereby Mr. Farrar granted to Mr. He a 90-day option to acquire a convertible promissory note, dated September 21, 2020, in the aggregate principal amount of $65,000.00, dated September 21, 2020, previously issued by the Issuer to Mr. Farrar (the &quot;Note&quot;), for a purchase price equal to the then outstanding principal and accrued and unpaid interest on the Note. The Note accrues interest at 5.0% per annum and is scheduled to mature and become payable on October 31, 2022. The holder of the Note has the option, on or prior to maturity, to convert all (but not less than all) of the amount due under the Note into shares of the Company's common stock at a conversion price of $0.23 per share. The current outstanding principal and accrued and unpaid interest of the Note, if converted into common stock, would result in the issuance of 290,458 shares upon the conversion of the Note. The number of shares of common stock to be issued upon conversion will be fixed on the conversion date and reported on a Form 4 within two business days after conversion. The Option Agreement expires on July 25, 2021.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Huijun He</signatureName>
        <signatureDate>2021-05-03-05:00</signatureDate>
    </ownerSignature>
</ownershipDocument>
