  We study the Electric Dipole moment of b quark in the general two Higgs
Doublet model (model III) and three Higgs Doublet model with O(2) symmetry in
the Higgs sector. We analyse the dependency of this quantity to the new phase
coming from the complex Yukawa couplings and masses of charged and neutral
Higgs bosons. We see that the Electric Dipole moment of b quark is at the order
of 10^{-20} e cm, which is an extremely large value compared to one calculated
in the SM and also two Higgs Doublet model (model II) with real Yukawa
couplings.
