Constraining SUSY Models with Spontaneous CP-Violation via B->\psi K_s

We study CP-violating effects in $B\to \psi K_{s}$ decay within minimal supersymmetric models with spontaneous CP-violation. We find that the CP-asymmetry predicted by the Standard Model in this decay, $\sin 2\beta \geq 0.4$, cannot be accommodated in these models without violating the bound on the neutron electric dipole moment. This result holds for NMSSM-like models with an arbitrary number of sterile superfields. Further implications of the scenario are discussed.