  We study the charged t-->b W h^0 and t-->b W A^0 decays in the framework of
the general two Higgs doublet model, so called model III and beyond. Here, we
take the Yukawa couplings complex and introduce a new complex parameter due to
the physics beyond the model III, to switch on the CP violating effects. We
predict the branching ratios as BR (t--> b W h^0) ~ 10^{-6} and BR (t--> b W
A^0) ~ 10^{-8}. Furthermore, we observe a measurable CP asymmetry, at the order
of 10^{-2}, for both decays.
