COLONIAL INTERMEDIATE HIGH INCOME FUND

I, Joseph R. Palombo, certify that:

1.   The Form N-CSR (the "Report") of Colonial Intermediate High Income Fund
     (the "Fund") 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.



Date:    June 20, 2003                      /s/ Joseph R. Palombo
                                            ----------------------------
                                            Joseph R. Palombo, President


I, J. Kevin Connaughton, certify that:

1.   The Form N-CSR (the "Report") of Colonial Intermediate High Income Fund
     (the "Fund") 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.



Date:    June 20, 2003                      /s/ J. Kevin Connaughton
                                            -------------------------------
                                            J. Kevin Connaughton, Treasurer