  We study the possibility that the lepton-flavor changing process can induce
the suitable magnitude of the muon anomalous magnetic moment (g_\mu -2) in the
decoupling solution to the flavor problem in the minimal supersymmetric
standard model. Our analyses introduce the flavor mixings of left- and
right-handed stau and smuon phenomenologically. It is found that if both the
left- and right-handed sleptons have sizable flavor mixings, the correction to
g_\mu -2 from the lighter slepton can reach to 10^{-9} while the correction to
the branching ratio of \tau \to \mu \gamma satisfies the current experimental
bound. On the other hand, when only the left-handed or right-handed sleptons
have the large flavor mixing, the suitable magnitude of the correction to
g_\mu-2 is not realized owing to the experimental bound of \tau \to \mu \gamma.
