EX-99.906CERT

         CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES OXLEY ACT


Clifford E. Lai, Principal Executive Officer,  and Thomas F. Doodian,  Principal
Financial  Officer,  of HYPERION 2005 INVESTMENT  GRADE  OPPORTUNITY TERM TRUST,
INC. (the "Fund"), each certify as evidenced below that:

     1.   The  N-CSR  of  the  Fund  (the  "Report")  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  Report  fairly  presents,  in all
          material respects,  the financial  condition and results of operations
          of the Fund.

Dated:  March 8, 2005                 /s/ Clifford E. Lai
                                      _______________________________________
                                      Clifford E. Lai
                                      President and Principal Executive Officer
                                      HYPERION 2005 INVESTMENT GRADE
                                      OPPORTUNITY TERM TRUST, INC.



Dated:  March 8, 2005                 /s/ Thomas F. Doodian
                                      _______________________________________
                                      Thomas F. Doodian
                                      Treasurer and Principal Financial Officer
                                      HYPERION 2005 INVESTMENT GRADE
                                      OPPORTUNITY TERM TRUST, INC.


A signed  original of this written  statement  required by Section 906, or other
document  authenticating,  acknowledging,  or otherwise  adopting the signatures
that  appear  in typed  form  within  the  electronic  version  of this  written
statement required by Section 906, has been provided to HYPERION 2005 INVESTMENT
GRADE  OPPORTUNITY  TERM TRUST,  INC.  and will be  retained  by  HYPERION  2005
INVESTMENT GRADE  OPPORTUNITY  TERM TRUST,  INC. and furnished to the Securities
and Exchange Commission or its staff upon request.