  We present a detailed evaluation of the bosonic two-loop electroweak
corrections to the muon's anomalous magnetic moment. We study the Higgs mass
dependence and find agreement with a previous evaluation in the large Higgs
mass limit. We find $a_{\mu}^{\rm EW bos}({two-loop})=(-22.2 \pm 1.6)\times
10^{-11}$, for $114 {\rm GeV} \le M_{\rm Higgs}\le 700 {\rm GeV}$.
