  Recently, the E821 experiment at the Brookhaven National Laboratory announced
their latest result of their muon g-2 measurement which is about 2.6-\sigma
away from the standard model prediction. Taking this result seriously, we
examine the possibility to explain this discrepancy by the supersymmetric
contribution. Our analysis is performed in the framework of the unconstrained
supersymmetric standard model which has free seven parameters relevant to muon
g-2. We found that, in the case of large \tan\beta, sparticle masses are
allowed to be large in the region where the SUSY contribution to the muon g-2
is large enough, and hence the conventional SUSY search may fail even at the
LHC. On the contrary, to explain the discrepancy in the case of small
\tan\beta, we found that (i) sleptons and SU(2)_L gauginos should be light, and
(ii) negative search for the Higgs boson severely constrains the model in the
framework of the mSUGRA and gauge-mediated model.
