  The Flavor Changing Neutral Current mediated decays $B \rightarrow
\mu^{+}\mu^{-}$ and $B^{0} \rightarrow K^{*0}\mu^{+}\mu^{-}$ provide high
sensitivity to new physics contributions. Sensitive observables include the
branching fraction, the muon forward-backward asymmetry, the fraction of
$K^{*0}$ longitudinal polarisation and the differential branching fraction. We
report herein the recent results from CMS on these decay modes.
