  In the framework of the Constrained Minimal Supersymmetric Standard Model we
discuss the impact of the recent experimental information, especially from the
E821 Brookhaven experiment on $g_{\mu}-2$ along with the light Higgs boson mass
bound from LEP, in delineating regions of the parameters which are consistent
with cosmological data. The effect of these to the Dark Matter direct searches
is also discussed.
