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 Krupp Government Income Trust II (the
"Trust") on Form 10-Q for the period ending June 30, 2004 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), I, Peter
F. Donovan, Chief Executive Officer of the Trust, certify, pursuant to18 U.S.C.
Section 1350, as adopted pursuant to 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) 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 Trust as of June 30, 2004 (the last date of the period
            covered by the Report).


/s/ Peter F. Donovan
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Peter F. Donovan,
Chief Executive Officer

Date: August 12, 2004


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