Implications on supersymmetry-breaking mediation mechanisms from observing Bs-->mu+mu- and the muon g-2

We consider B(s)-->mu(+)mu(-) and the muon (g-2)(mu) in various supersymmetry-breaking mediation mechanisms. If the decay B(s)-->mu(+)mu(-) is observed at Tevatron Run II with a branching ratio larger than approximately 2 x 10(-8), the noscale supergravity (including the gaugino mediation), the gauge mediation scenario with a small number of messenger fields and low messenger scale, and a class of anomaly mediation scenarios will be excluded, even if they can accommodate a large muon (g-2)(mu). On the other hand, the minimal supergravity scenario and similar mechanisms derived from string models can accommodate this observation.