The two-loop electroweak bosonic correction to the muon lifetime
and the M_W-M_Z interdependece is computed using analytical
methods of asymptotic expansion. Combined with previous
calculations this copmletes the full two-loop correction
to $\Delta r$ in the Standard Model. The shift to the prediction
of W-boson mass due to two-loop bosonic corrections does not
exceed 1 MeV for the range of the Higgs mass from 100 to 1000 GeV.