  We study the electric dipole moments(EDM) of the neutron and the electron in
the two-Higgs-doublet model, in the case that $CP$ symmetry is violated
maximally in the neutral Higgs sector. We take account of the Weinberg's
operator $O_{3g}=GG\t G$ as well as the operator $O_{qg}=\bar q\sigma\tilde Gq$
for the neutron, and the Barr-Zee diagrams for the electron. It is found that
the predicted neutron EDM could be considerably reduced by the destructive
contribution of the two Higgs scalars to get the lower value than the
experimental bound. As to the electron EDM, the predicted value is smaller in
one order than the experimental one.
