  We calculate the electric dipole moment (EDM) for the neutron in the
framework of the minimal 3-3-1 model. We assume that the only source of $CP$
violation arises from a complex trilinear coupling constant and two complex
vacuum expectation values. However, from the constraint equations obtained from
the potential, only one physical phase remains. We find some constraints on the
possible values of this phase and masses of the exotic particles.
