EXHIBIT 3.6



                                  AMENDMENT TO
                           CERTIFICATE OF DESIGNATION
                            OF SERIES A PARTICIPATING
                       CUMULATIVE PREFERRED STOCK SETTING
                         FORTH THE POWERS, PREFERENCES,
                             RIGHTS, QUALIFICATIONS,
                          LIMITATIONS AND RESTRICTIONS
                        OF SUCH SERIES OF PREFERRED STOCK
                                       of
                            HOMESTAKE MINING COMPANY



         Pursuant to Section 151(g) of the General  Corporation Law of the State
of  Delaware,  Homestake  Mining  Company  (the  "Corporation"),  a  corporation
organized  and  existing  under  the  General  Corporation  Law of the  State of
Delaware,  in accordance with the provisions of Section 103 thereof, DOES HEREBY
CERTIFY:

         That pursuant to the authority conferred upon the Board of Directors of
the Corporation by Article FIVE of the Restated  Certificate of Incorporation of
the Corporation (the "Certificate of Incorporation"), on May 10, 1993, the Board
of Directors of the Corporation adopted the following  resolutions  amending the
Certificate of Designation of Series A Participating  Cumulative Preferred Stock
filed  with  the  Delaware   Secretary  of  State  on  November  18,  1987  (the
"Certificate   of   Designation")   to  change  the  number  of  shares  of  the
Corporation's  authorized  Preferred Stock  designated as Series A Participating
Cumulative Preferred Stock (the "Series A Preferred Stock"):

         RESOLVED,  that  pursuant  to the  authority  vested  in the  Board  of
Directors  of  the   Corporation  in  accordance  with  the  provisions  of  the
Certificate of  Incorporation  of the  Corporation,  the number of shares of the
Corporation's  Preferred Stock  designated as Series A Preferred Stock is hereby
increased from 1,250,000 to 2,500,000.

         RESOLVED,  that Section 1 of the  Certificate  of Designation is hereby
amended and restated in its entirety to read as follows:

         "Section 1. Designation and Number of Shares. The shares of such series
shall be designated as "Series A Participating  Cumulative Preferred Stock" (the
"Series  A  Preferred  Stock").  The par  value of each  share  of the  Series A
Preferred Stock shall be $1.00. The number of shares initially  constituting the
Series A Preferred Stock shall be 2,500,000; provided however, that if more than
a total of 2,500,000  shares of Series A Preferred  Stock shall be issuable upon
the  exercise  of Rights  issued  pursuant to the Rights  Agreement  dated as of
October 16, 1987, as amended,  (the "Rights Agreement"),  the Board of Directors
of the Corporation, pursuant to Section 151(g) of the General Corporation Law of
the  State of  Delaware,  shall  direct  by  resolution  or  resolutions  that a
certificate  be  properly  executed,   acknowledged,   filed  and  recorded,  in
accordance  with the provisions of Section 103 thereof,  providing for the total
number  of  shares  of  Series A  Preferred  Stock  authorized  to be  issued be
increased (to the extent that the Certificate of Incorporation  then permits) to
the largest  number of whole  shares  (rounded up to the nearest  whole  number)
issuable upon exercise of such Rights."

         IN WITNESS WHEREOF,  Homestake Mining Company has caused this Amendment
to  Certificate  to be duly executed in its  corporate  name on this 28th day of
May, 1993.