  The electric dipole moment of the neutron (EDMN) is re-examined in a general
framework of the soft supersymmetry breaking. We point out some features of the
relation between the EDMN and non-universal soft supersymmetry breaking terms.
We give the constraints on the soft scalar masses and the soft CP phases, which
have the rather large dependence on the non-universality of the soft breaking
terms. We also show that the soft CP phase $\phi_B$ which has no natural
suppression mechanism may not have large contribution to the EDMN in a certain
parameter region where the radiative symmetry breaking occurs successfully.
$\phi_B$ may not need to be so small.
