  We analyse the CP violation in supersymmetric models with Hermitian Yukawa
and trilinear couplings. We show that Hermitian Yukawa matrices can be
implemented in supersymmetric models with SU(3) flavor symmetry. An important
feature of this class of models is that the supersymmetric contributions to the
EDM of the neutron and mercury atom are suppressed. In this framework,
epsilon_K can be saturated by a small non--universality of the soft scalar
masses through the gluino contribution. We perform a detailed analysis for the
supersymmetric contributions to epsilon'/epsilon. Although, the gluino
contribution is found to be negligible due to a severe cancellation between LR
and RL mass insertions, the chargino contribution can be significant and
accommodate the experimental results. Additionally, we find that the SUSY
contributions to epsilon'/epsilon from the effective \bar{s}dZ vertex and the
\Delta I =3/2 operators are insignificant. We point out that the standard model
gives the leading contribution to the CP asymmetry in B -> \psi K_S decay,
while the dominant chargino contribution to this asymmetry is < 0.2 . Thus, no
constraint is set on the non--universality of this model by the recent BaBar
and Belle measurements.
