  We study the flavor changing t -> c H^0 decay in the framework of the general
two Higgs doublet model, so called model III. Here, we take the Yukawa
couplings complex and switch on the CP violating effects. We predict the
branching ratio six orders larger compared to the one calculated in the SM,
namely BR ~ 10^{-7}, and observe a measurable CP asymmetry, at the order of
10^{-2}.
