  We calculate the two-loop contributions to the electric dipole moments of the
electron and the neutron mediated by charged Higgs in a generic supersymmetric
theories. The new contributions are originated from the potential CP violation
in the trilinear couplings of the charged Higgs bosons to the scalar-top or the
scalar-bottom quarks. These couplings did not receive stringent constraints
directly. We find observable effects for a sizeable portion of the parameter
space related to the third generation scalar-quarks in the minimal
supersymmetric standard model.
