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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-06-30</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001814329</issuerCik>
        <issuerName>Astra Space, Inc.</issuerName>
        <issuerTradingSymbol>ASTR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001866544</rptOwnerCik>
            <rptOwnerName>Stanford Scott</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O SCOTT STANFORD</rptOwnerStreet1>
            <rptOwnerStreet2>800 MARKET STREET, SUITE 800</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94102</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2021-06-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>29626192</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>29626192</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Held through Funds managed by ACME, LLC</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Received pursuant to the Agreement and Plan of Merger, dated as of February 2, 2021 (as amended, the &quot;Merger Agreement&quot;), by and among Astra Space, Inc. (f/k/a Holicity Inc.) (the &quot;Issuer&quot;), Holicity Merger Sub Inc., a wholly-owned subsidiary of the Issuer (&quot;Merger Sub&quot;) and Astra Space, Inc. (the &quot;Company&quot;), pursuant to which Merger Sub merged with and into the Company, with the Company surviving the merger (the &quot;Merger&quot;). As a result, the Company became a wholly-owned subsidiary of the Issuer, with the stockholders of the Company becoming stockholders of the Issuer.</footnote>
        <footnote id="F2">Funds managed by ACME, LLC and affiliates are SherpaVentures Fund II, LLC, Eagle Creek Capital LLC and ACME SPV AS, LLC (collectively &quot;ACME Capital&quot;). Scott Stanford exercises voting and dispositive control over the securities held by ACME Capital and thus may be deemed to beneficially own such securities.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Christopher Ricci, as Attorney in Fact</signatureName>
        <signatureDate>2021-07-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
