<?xml version="1.0" encoding="utf-8"?>
<ownershipDocument>
    <schemaVersion>X0201</schemaVersion>

    <documentType>3/A</documentType>
  <periodOfReport>2003-08-28</periodOfReport>
  <dateOfOriginalSubmission>2003-09-04</dateOfOriginalSubmission>
    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001058828</issuerCik>
        <issuerName>HYPERTENSION DIAGNOSTICS INC /MN</issuerName>
        <issuerTradingSymbol>HDII</issuerTradingSymbol>
  </issuer>
  <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001261299</rptOwnerCik>
            <rptOwnerName>STERN ALAN</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>2915 WATERS ROAD, SUITE 108</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>EAGAN</rptOwnerCity>
            <rptOwnerState>MN</rptOwnerState>
            <rptOwnerZipCode>55121</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
            <reportingOwnerRelationship>
      <isDirector>1</isDirector>
      <isOfficer>0</isOfficer>
      <isTenPercentOwner>0</isTenPercentOwner>
      <isOther>0</isOther>
    </reportingOwnerRelationship>
  </reportingOwner>
  <nonDerivativeTable>
    <nonDerivativeHolding>
      <securityTitle>
        <value>Common Stock</value>
      </securityTitle>
      <postTransactionAmounts>
        <sharesOwnedFollowingTransaction>
          <value>687436</value>
        </sharesOwnedFollowingTransaction>
      </postTransactionAmounts>
      <ownershipNature>
        <directOrIndirectOwnership>
          <value>I</value>
        </directOrIndirectOwnership>
        <natureOfOwnership>
          <value>By Self as Trustee of Stern Trust</value>
          <footnoteId id="F6"/>
        </natureOfOwnership>
      </ownershipNature>
    </nonDerivativeHolding>
  </nonDerivativeTable>
  <derivativeTable>
    <derivativeHolding>
      <securityTitle>
        <value>Series A Preferred Stock</value>
      </securityTitle>
      <conversionOrExercisePrice>
        <value>0.14</value>
        <footnoteId id="F3"/>
      </conversionOrExercisePrice>
      <exerciseDate>
        <footnoteId id="F1"/>
      </exerciseDate>
      <expirationDate>
        <footnoteId id="F2"/>
      </expirationDate>
      <underlyingSecurity>
        <underlyingSecurityTitle>
          <value>Common Stock</value>
        </underlyingSecurityTitle>
        <underlyingSecurityShares>
          <value>33279</value>
        </underlyingSecurityShares>
      </underlyingSecurity>
      <ownershipNature>
        <directOrIndirectOwnership>
          <value>I</value>
        </directOrIndirectOwnership>
        <natureOfOwnership>
          <value>By Self as Trustee of Stern Trust</value>
        </natureOfOwnership>
      </ownershipNature>
    </derivativeHolding>
    <derivativeHolding>
      <securityTitle>
        <value>Common Stock Warrant (right to buy)</value>
      </securityTitle>
      <conversionOrExercisePrice>
        <value>0.17</value>
      </conversionOrExercisePrice>
      <exerciseDate>
        <footnoteId id="F4"/>
      </exerciseDate>
      <expirationDate>
        <value>2004-05-28</value>
      </expirationDate>
      <underlyingSecurity>
        <underlyingSecurityTitle>
          <value>Common Stock</value>
          <footnoteId id="F5"/>
        </underlyingSecurityTitle>
        <underlyingSecurityShares>
          <value>529236</value>
        </underlyingSecurityShares>
      </underlyingSecurity>
      <ownershipNature>
        <directOrIndirectOwnership>
          <value>I</value>
        </directOrIndirectOwnership>
        <natureOfOwnership>
          <value>By Self as Trustee of Stern Trust</value>
        </natureOfOwnership>
      </ownershipNature>
    </derivativeHolding>
    <derivativeHolding>
      <securityTitle>
        <value>Common Stock Warrant (right to buy)</value>
      </securityTitle>
      <conversionOrExercisePrice>
        <value>0.22</value>
      </conversionOrExercisePrice>
      <exerciseDate>
        <footnoteId id="F4"/>
      </exerciseDate>
      <expirationDate>
        <value>2005-02-28</value>
      </expirationDate>
      <underlyingSecurity>
        <underlyingSecurityTitle>
          <value>Common Stock</value>
          <footnoteId id="F5"/>
        </underlyingSecurityTitle>
        <underlyingSecurityShares>
          <value>423389</value>
        </underlyingSecurityShares>
      </underlyingSecurity>
      <ownershipNature>
        <directOrIndirectOwnership>
          <value>I</value>
        </directOrIndirectOwnership>
        <natureOfOwnership>
          <value>By Self as Trustee of Stern Trust</value>
        </natureOfOwnership>
      </ownershipNature>
    </derivativeHolding>
    <derivativeHolding>
      <securityTitle>
        <value>Common Stock Warrant (right to buy)</value>
      </securityTitle>
      <conversionOrExercisePrice>
        <value>0.30</value>
      </conversionOrExercisePrice>
      <exerciseDate>
        <footnoteId id="F4"/>
      </exerciseDate>
      <expirationDate>
        <value>2008-08-28</value>
      </expirationDate>
      <underlyingSecurity>
        <underlyingSecurityTitle>
          <value>Common Stock</value>
          <footnoteId id="F5"/>
        </underlyingSecurityTitle>
        <underlyingSecurityShares>
          <value>370466</value>
        </underlyingSecurityShares>
      </underlyingSecurity>
      <ownershipNature>
        <directOrIndirectOwnership>
          <value>I</value>
        </directOrIndirectOwnership>
        <natureOfOwnership>
          <value>By Self as Trustee of Stern Trust</value>
        </natureOfOwnership>
      </ownershipNature>
    </derivativeHolding>
    <derivativeHolding>
      <securityTitle>
        <value>Series A Preferred Stock (right to buy)</value>
      </securityTitle>
      <conversionOrExercisePrice>
        <value>2.04</value>
      </conversionOrExercisePrice>
      <exerciseDate>
        <footnoteId id="F1"/>
      </exerciseDate>
      <expirationDate>
        <value>2004-05-28</value>
      </expirationDate>
      <underlyingSecurity>
        <underlyingSecurityTitle>
          <value>Series A Preferred Stock</value>
        </underlyingSecurityTitle>
        <underlyingSecurityShares>
          <value>33279</value>
        </underlyingSecurityShares>
      </underlyingSecurity>
      <ownershipNature>
        <directOrIndirectOwnership>
          <value>I</value>
        </directOrIndirectOwnership>
        <natureOfOwnership>
          <value>By Self as Trustee of Stern Trust</value>
        </natureOfOwnership>
      </ownershipNature>
    </derivativeHolding>
    <derivativeHolding>
      <securityTitle>
        <value>Series A Preferred Stock (right to buy)</value>
      </securityTitle>
      <conversionOrExercisePrice>
        <value>2.64</value>
      </conversionOrExercisePrice>
      <exerciseDate>
        <footnoteId id="F1"/>
      </exerciseDate>
      <expirationDate>
        <value>2005-02-28</value>
      </expirationDate>
      <underlyingSecurity>
        <underlyingSecurityTitle>
          <value>Series A Preferred Stock</value>
        </underlyingSecurityTitle>
        <underlyingSecurityShares>
          <value>26624</value>
        </underlyingSecurityShares>
      </underlyingSecurity>
      <ownershipNature>
        <directOrIndirectOwnership>
          <value>I</value>
        </directOrIndirectOwnership>
        <natureOfOwnership>
          <value>By Self as Trustee of Stern Trust</value>
        </natureOfOwnership>
      </ownershipNature>
    </derivativeHolding>
    <derivativeHolding>
      <securityTitle>
        <value>Series A Preferred Stock (right to buy)</value>
      </securityTitle>
      <conversionOrExercisePrice>
        <value>3.60</value>
      </conversionOrExercisePrice>
      <exerciseDate>
        <footnoteId id="F1"/>
      </exerciseDate>
      <expirationDate>
        <value>2008-08-28</value>
      </expirationDate>
      <underlyingSecurity>
        <underlyingSecurityTitle>
          <value>Series A Preferred Stock</value>
        </underlyingSecurityTitle>
        <underlyingSecurityShares>
          <value>23296</value>
        </underlyingSecurityShares>
      </underlyingSecurity>
      <ownershipNature>
        <directOrIndirectOwnership>
          <value>I</value>
        </directOrIndirectOwnership>
        <natureOfOwnership>
          <value>By Self as Trustee of Stern Trust</value>
        </natureOfOwnership>
      </ownershipNature>
    </derivativeHolding>
  </derivativeTable>
  <footnotes>
    <footnote id="F1">Immediately.</footnote>
    <footnote id="F2">Not applicable.</footnote>
    <footnote id="F3">Subject to adjustment as provided in the Certificate of Designation, Preferences and Rights of Series A Convertible Preferred Stock.</footnote>
    <footnote id="F4">These warrants are exercisable if and only at such time as the holders of voting securities of the Company approve of an amendment to the Company's Articles of Incorporation to increase in the number of shares of common stock authorized (the "Proposal").</footnote>
    <footnote id="F5">In the event the Proposal is not approved, the warrant shall be exercisable for such number of shares of Series A Preferred Stock equal to the number of shares of Common Stock for which the warrant is currently exercisable, divided by 12.</footnote>
    <footnote id="F6">"Stern Trust" shall mean the Alan and Lisa Stern Family Living Trust.</footnote>
  </footnotes>
  <remarks>See attached Exhibit 24 for Power of Attorney</remarks>
  <ownerSignature>
    <signatureName>Julie Stewart, by power of attorney</signatureName>
    <signatureDate>2003-09-17</signatureDate>
  </ownerSignature>
</ownershipDocument>

