  We calculate renormalization constants Z_H, Z_w, the Higgs and W-boson mass
and tadpole counterterms in the on-mass-shell renormalization scheme to two
loops in the heavy-Higgs-boson limit m_H >> M_W. Explicit analytic formulae are
presented for the two-loop integrals with masses, which are not known in the
literature. As an application, the analytic expression for the two-loop leading
correction to the fermionic Higgs boson width is obtained.
