EXHIBIT 32.1

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

In connection with the Quarterly Report of Alaska Communications Systems Group,
Inc. (the "Company") on Form 10-Q for the period ending June 30, 2005 (the
"Report"), I, Liane Pelletier, Chief Executive Officer of the Company, certify,
pursuant to 18 U.S.C. Section . 1350, as created by Section 906 of the
Sarbanes-Oxley Act of 2002, that:

(1) The Report fully complies with the requirements of section 13(a) or 15(d),
    as applicable, of the Securities Exchange Act of 1934 as amended; and

(2) The information contained in the Report fairly presents, in all material
    respects, the financial condition and results of operations of the Company.

Date: August 15, 2005                  /s/ Liane Pelletier
                                       ---------------------
                                       Liane Pelletier
                                       Chief Executive Officer,
                                       Chairman of the Board and President
                                       Alaska Communications Systems Group, Inc.