  The effect of the "chromo-electric" dipole moment on the electric dipole
moment(EDM) of the neutron is studied in the two-Higgs-doublet model.
  The Weinberg's operator $O_{3g}=GG\t G$ and the operator $O_{qg}=\bar
q\sigma\t Gq$ are both investigated in the cases of $\tan\b\gg 1$, $\tan\b\ll
1$ and $\tan\b\simeq 1$.
  The neutron EDM is considerably reduced due to the destructive contribution
with two light Higgs scalars exchanges.
