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  <headerData>
    <submissionType>13F-HR</submissionType>
    <filerInfo>
      <liveTestFlag>LIVE</liveTestFlag>
      <flags>
        <confirmingCopyFlag>false</confirmingCopyFlag>
        <returnCopyFlag>false</returnCopyFlag>
        <overrideInternetFlag>false</overrideInternetFlag>
      </flags>
      <filer>
        <credentials>
          <cik>0000906304</cik>
          <ccc>XXXXXXXX</ccc>
        </credentials>
      </filer>
      <periodOfReport>09-30-2020</periodOfReport>
    </filerInfo>
  </headerData>
  <formData>
    <coverPage>
      <reportCalendarOrQuarter>09-30-2020</reportCalendarOrQuarter>
      <isAmendment>false</isAmendment>
      <filingManager>
        <name>ROYCE &amp; ASSOCIATES LP</name>
        <address>
          <ns1:street1>745 Fifth Avenue</ns1:street1>
          <ns1:city>New York</ns1:city>
          <ns1:stateOrCountry>NY</ns1:stateOrCountry>
          <ns1:zipCode>10151</ns1:zipCode>
        </address>
      </filingManager>
      <reportType>13F COMBINATION REPORT</reportType>
      <form13FFileNumber>028-03780</form13FFileNumber>
      <otherManagersInfo>
        <otherManager>
          <cik>0000038777</cik>
          <form13FFileNumber>028-00734</form13FFileNumber>
          <name>FRANKLIN RESOURCES INC</name>
        </otherManager>
      </otherManagersInfo>
      <provideInfoForInstruction5>Y</provideInfoForInstruction5>
      <additionalInformation>Legg Mason, Inc., 13F File Number 028-01700 ("LMI"), was acquired by Franklin Resources, Inc. ("FRI") on July 31, 2020.  Through the quarter ended June 30, 2020 Royce &amp; Associates LP was an Other Manager Reporting for LMI and reported its holdings of 13F Securities on a 13F Holdings Report.  As a result of that acquisition, beginning with this Form 13F, Royce &amp; Associates LP is now listed as an Other Manager Reporting for FRI and is reporting its holdings of 13F Securities on a 13F Combination Report.</additionalInformation>
    </coverPage>
    <signatureBlock>
      <name>John E. Denneen</name>
      <title>General Counsel</title>
      <phone>212-508-4500</phone>
      <signature>John E. Denneen</signature>
      <city>New York</city>
      <stateOrCountry>NY</stateOrCountry>
      <signatureDate>11-12-2020</signatureDate>
    </signatureBlock>
    <summaryPage>
      <otherIncludedManagersCount>0</otherIncludedManagersCount>
      <tableEntryTotal>989</tableEntryTotal>
      <tableValueTotal>9265454</tableValueTotal>
    </summaryPage>
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