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

    <schemaVersion>X0202</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2003-06-20</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000351298</issuerCik>
        <issuerName>HEI INC</issuerName>
        <issuerTradingSymbol>HEII</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001305991</rptOwnerCik>
            <rptOwnerName>Heenan George</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>PO BOX 5000</rptOwnerStreet1>
            <rptOwnerStreet2>1495 STEIGER LAKE LANE</rptOwnerStreet2>
            <rptOwnerCity>VICTORIA</rptOwnerCity>
            <rptOwnerState>MN</rptOwnerState>
            <rptOwnerZipCode>55386</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks>No holdings to report.</remarks>

    <ownerSignature>
        <signatureName>/s/ Douglas J. Nesbit - Attorney in Fact</signatureName>
        <signatureDate>2004-10-15</signatureDate>
    </ownerSignature>
</ownershipDocument>

