  Based on the differential calculus and the gauge theory on discrete groups,
we reconstruct two physics models with spontaneous CP violation: (1) The
Georgi-Glashow-Lee model with two Higgs triplets; (2) The Weinberg-Salam-Branco
model with three Higgs doublets and the natural flavor conservation (NFC). We
focus on the Lagrangian terms containing the Higgs particles and show that with
an appropriate choice of the discrete groups, we can obtain the physically
meaningful Yukawa couplings and the Higgs potentials which lead to the
spontaneous CP violation consequently.
