We study the direct CP asymmetry in B --> X(s)gamma decay in supersymmetric
models with nonuniversal A terms. We show that the flavor-dependent phases
of the A terms, unlike the flavor-independent ones, can give rise to a lar
ge contribution to the CP asymmetry while respecting the experimental bound
s on the branching ratio of B --> X(s)gamma decay and the electric dipole m
oments of the electron and neutron. The CP asymmetry of this decay is predi
cted to be much larger than the standard model prediction in a wide region
of the parameter space. In particular, it can be of order 10%-15% which can
be accessible at B factories.