  The supersymmetric standard model (SSM) has a CP-violating phase in its
gauge-Higgs sector. This new source of CP violation induces the electric dipole
moments (EDMs) of the neutron and electron at the one-loop level. The same
CP-violating phase generates the EDM of the $W$ boson through one-loop diagrams
mediated by the charginos and neutralinos, which leads to the EDMs of the
neutron and electron at the two-loop level. We discuss these EDMs, assuming
that the CP-violating phase has the magnitude of order 0.1--1 which may be
suggested from the baryon asymmetry of the universe. Even at the two-loop level
the neutron and the electron could have EDMs which are smaller than their
experimental upper bounds by only one order of magnitude. Since these two-loop
contributions do not depend on the values of SSM parameters for the squark or
slepton sector, they provide predictions for the EDMs less ambiguous than the
one-loop contributions.
