  We briefly comment on the question of spontaneous CP violation for several
models of weak interactions. We focus on one of the minimal extensions of the
Standard Model where spontaneous CP violation is viable,the next-to-minimal
supersymmetric standard model (NMSSM), with two Higgs doublets and a gauge
singlet. We analyse the most general Higgs potential without a discrete Z_3
symmetry, and derive an upper bound on the mass of the lightest neutral Higgs
boson. We estimate $\epsilon_K$ by applying the mass insertion approximation,
finding that in order to account for the observed CP violation in the neutral
kaon sector a non-trivial flavour structure in the soft-breaking A-terms is
required and that the upper bound on the lightest Higgs-boson mass becomes
stronger. We also discuss the implications of electric dipole moments of the
electron and the neutron in SUSY models with SCPV.
