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                                EXHIBIT 23.04
                                      
                               CONSENT OF KPMG

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                                                                  EXHIBIT 23.04


                               [KPMG LETTERHEAD]





                        CONSENT OF INDEPENDENT AUDITORS




The Board of Directors
Innovex Limited

   
We consent to incorporation by reference in Amendment No. 1 to the Registration
Statement (No. 333-12573) on Form S-4 of Quintiles Transnational Corp. of our
report, dated July 24, 1996, relating to the combined balance sheet of the
Innovex companies, which comprise a combination of Innovex Limited and Innovex
Holdings Limited and its subsidiaries, as at March 31, 1995 and 1996 and the
related combined income statements and statements of cash flows for each of the
years in the three-year period ended March 31, 1996, which report appears in the
Form 8-K of Quintiles Transnational Corp. dated October 6, 1996.  In addition,
we consent to the reference to our firm under the heading "EXPERTS" in Amendment
No. 1 to the Registration Statement (No. 333-12573) on Form S-4 of Quintiles
Transnational Corp.
    


/s/ KPMG

Reading, England
October 11, 1996