Certification Pursuant to Section 906 of the Sarbanes-Oxley Act

I, Gifford R. Zimmerman, Chief Administrative Officer of Nuveen Insured Quality
Municipal Fund, Inc., certify that:

     1.   The Form 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.

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 Nuveen Insured Quality Municipal
Fund, Inc. and will be retained by Nuveen Insured Quality Municipal Fund, Inc.
and furnished to the Securities and Exchange Commission or its staff upon
request.


Date: July 8, 2003
      -----------------------

                                           /s/ Gifford R. Zimmerman
                                               ---------------------
                                               Chief Administrative Officer
                                               (chief executive officer)




Certification Pursuant to Section 906 of the Sarbanes-Oxley Act

I, Stephen D. Foy, Principal Financial Officer of Nuveen Insured Quality
Municipal Fund, Inc., certify that:

     1.   The Form 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.

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 Nuveen Insured Quality Municipal
Fund, Inc. and will be retained by Nuveen Insured Quality Municipal Fund, Inc.
and furnished to the Securities and Exchange Commission or its staff upon
request.


Date: July 8, 2003
      -----------------------

                                           /s/ Stephen D. Foy
                                               ---------------------
                                               Vice President, Controller
                                               (Chief Financial Officer)