Exhibit (B)(2)
                                CERTIFICATIONS


                CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350
                       AS ADOPTED PURUSANT TO SECTION 906
                        OF THE SARBANES-OXLEY ACT OF 2002

I, Jimmy D. Gambill,  Chief Executive  Officer of the FRANKLIN HIGH INCOME TRUST
(the  "Registrant"),  certify,  pursuant  to 18 U.S.C.  Section  1350 as adopted
pursuant  to  Section  906  of  the  Sarbanes-Oxley  Act of  2002,  that,  to my
knowledge:

1.            The periodic report on Form N-CSR of the Registrant for the period
              ended   11/30/04  (the  "Form  N-CSR")  fully  complies  with  the
              requirements of Section 13(a) or 15(d) of the Securities  Exchange
              Act of 1934; and

2.            The information  contained in the Form N-CSR fairly  presents,  in
              all material  respects,  the  financial  condition  and results of
              operations of the Registrant.

Dated: January 20, 2005

                                    /S/JIMMY D. GAMBILL
                                    Chief Executive Officer - Finance and
                                    Administration

A SIGNED  ORIGINAL OF THIS WRITTEN  STATEMENT  REQUIRED BY SECTION 906, OR OTHER
DOCUMENT AUTHENTICATING, ACKNOWLEDGING, OR OTHERWISE ADOPTING THE SIGNATURE THAT
APPEARS IN TYPED FORM WITHIN THE  ELECTRONIC  VERSION OF THIS WRITTEN  STATEMENT
REQUIRED BY SECTION 906, HAS BEEN PROVIDED TO REGISTRANT AND WILL BE RETAINED BY
REGISTRANT AND FURNISHED TO THE SECURITIES AND EXCHANGE  COMMISSION OR ITS STAFF
UPON REQUEST.










                CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350
                       AS ADOPTED PURUSANT TO SECTION 906
                        OF THE SARBANES-OXLEY ACT OF 2002

I, Galen G. Vetter,  Chief  Financial  Officer of the FRANKLIN HIGH INCOME TRUST
(the  "Registrant"),  certify,  pursuant  to 18 U.S.C.  Section  1350 as adopted
pursuant  to  Section  906  of  the  Sarbanes-Oxley  Act of  2002,  that,  to my
knowledge:

1.            The periodic report on Form N-CSR of the Registrant for the period
              ended   11/30/04  (the  "Form  N-CSR")  fully  complies  with  the
              requirements of Section 13(a) or 15(d) of the Securities  Exchange
              Act of 1934; and

2.            The information  contained in the Form N-CSR fairly  presents,  in
              all material  respects,  the  financial  condition  and results of
              operations of the Registrant.

Dated:  January 20, 2005

                                    /S/GALEN G. VETTER
                                    Chief Financial Officer

A SIGNED  ORIGINAL OF THIS WRITTEN  STATEMENT  REQUIRED BY SECTION 906, OR OTHER
DOCUMENT AUTHENTICATING, ACKNOWLEDGING, OR OTHERWISE ADOPTING THE SIGNATURE THAT
APPEARS IN TYPED FORM WITHIN THE  ELECTRONIC  VERSION OF THIS WRITTEN  STATEMENT
REQUIRED BY SECTION 906, HAS BEEN PROVIDED TO REGISTRANT AND WILL BE RETAINED BY
REGISTRANT AND FURNISHED TO THE SECURITIES AND EXCHANGE  COMMISSION OR ITS STAFF
UPON REQUEST.