COLONIAL HIGH INCOME MUNICIPAL TRUST

I, Joseph R. Palombo, certify that:

1.   The Form N-CSR (the "Report") of Colonial High Income Municipal Trust (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:    August 6, 2003                     /s/ Joseph R. Palombo
                                            -----------------------------------
                                            Joseph R. Palombo, President






                      COLONIAL HIGH INCOME MUNICIPAL TRUST

I, J. Kevin Connaughton, certify that:

1.   The Form N-CSR (the "Report") of Colonial High Income Municipal Trust (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:    August 6, 2003                     /s/ J. Kevin Connaughton
                                            -------------------------------
                                            J. Kevin Connaughton, Treasurer