  We analyse the CP problem in the context of a supersymmetric extension of the
standard model with universal strength of Yukawa couplings. In these models we
find a small amount of CP violation from the usual CKM mechanism and therefore
a significant contribution from supersymmetry is required. The electric dipole
moments impose severe constraints on the parameter space, forcing the trilinear
couplings to be factorizable in matrix form. We find that the LL mass
insertions give the dominant gluino contribution to saturate epsilon_K, while
chargino contributions to epsilon'/epsilon are compatible with the experimental
results. Due to significant supersymmetric contributions to B_d-\bar{B}_d
mixing, the recent large value of a_{J/\psi K_S} can be accommodated.
