We study the effect of the "chromo-electric" dipole moment on the electric
dipole moment(EDM) of the neutron in the two Higgs doublet model. We
systematically investigate the Weinberg's operator O_{3g}=GG\t G and the
operator O_{qg}=\bar q\sigma\t Gq, in the cases of \tan\b\gg 1, \tan\b\ll
1 and \tan\b\simeq 1. It is shown that Osg gives the main contribution
to the neutron EDM compared to the other operators, and also that the
contributions of Oug and O3g cancel out each other. It is pointed out
that the inclusion of second lightest neutral Higgs scalar adding to the
lightest one is of essential importance to estimate the neutron EDM. The
neutron EDM is considerably reduced due to the destructive contribution with
each other if the mass difference of the two Higgs scalars is of the order
O(50\G).Comment: 20 pages with 12 figures. Figures will be sent by postal mail if
requested. Late