Abstract
By using the effective potential approximation and taking into account the dominant top quark and scalar top quark loops, radiative corrections to the MSSM Higgs potential are computed in the presence of the supersymmetric CP-violating phases. It is found that the lightest Higgs scalar remains essentially CP even as in the CP-invariant theory whereas the other two scalars are heavy and do not have definite CP properties. The supersymmetric CP-violating phases are shown to modify significantly the decay rates of the scalar to fermion pairs.