Motivated by the recently measured muon's anomalous magnetic moment a µ , we examine the supersymmetry contribution to a µ in various mediation models of supersymmetry breaking which lead to predictive flavor conserving soft parameters at high energy scale. The studied models include dilaton/modulus-mediated models in heterotic string/M theory, gaugemediated model, no-scale or gaugino-mediated model, and also the minimal and deflected anomaly-mediated models. For each model, the range of a SUSY µ allowed by other experimental constraints, e.g. b → sγ and the collider bounds on superparticle masses, is obtained together with the corresponding parameter region of the model. Gauge-mediated models with low messenger scale can give any a SUSY µ within the 2σ bound. In many other models, b → sγ favors a SUSY µ smaller than either the −1σ value (26 × 10 −10 ) or the central value (42 × 10 −10 ).