  We discuss the formulation of the general two-Higgs doublet model type III,
which incorporates flavor changing neutral scalar interactions (FCNSI) and CP
violation from several sources. CP violation can arise either from Yukawa terms
or from the Higgs potential, and it can explicit or spontaneous. We discuss the
case that includes CP violation with Yukawa textures to control FCNSI and
evaluate the CP asymmetry for the decay h-> c-b+ W-, which may allow to test
the patterns of FCNSI and CP violation, that arises in these models.
