SERVICE CORPORATION INTERNATIONAL
424B5, 1995-01-26
PERSONAL SERVICES
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<PAGE>   1
                                                                  For SEC Filing
                                                                  Purposes Only:
                                                                  Rule 424(b)(5)
                                                               File No. 33-54996


          Prospectus Supplement to Prospectus Dated December 11, 1992


                       SERVICE CORPORATION INTERNATIONAL


             Terms of 5% Convertible Debentures, Series N due 2005


Title:                    5% Convertible Debentures, Series N, due 2005 (the 
                          "Debentures").
                          
Principal Amount:         $500,000 in aggregate principal amount of the 
                          Debentures will be issued as a portion of the
                          consideration for certain funeral business assets of
                          Green Acres Mortuaries & Cemeteries, Inc. 
                          
Conversion Price:         $34.74 per share, subject to adjustment.
                          
Conversion Date:          On or after February 1, 1996.
                          
Maturity Date:            January 31, 2005.

Interest Rate:            5% per annum accruing from January 31, 1995.

Federal Tax Matters:      The applicable federal rate on long-term indebtedness
                          for January 1995, compounded quarterly, is 7.93% for
                          purposes of determining the original issue discount
                          applicable to the Debentures for federal income tax
                          purposes.  The original issue discount per $1,000
                          principal amount of the Debentures is $200.66.

Other Matters:            Payments of principal and interest on the Debentures
                          are subject to the Company's rights of set-off as
                          provided in the agreement governing the       
                          acquisition.


                The Date of this Supplement is January 26, 1995.





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