  The complete set of Higgs-boson two-loop contributions to electric dipole
moments of the electron and neutron is calculated in the minimal supersymmetric
standard model. The electric dipole moments are induced by CP-violating
trilinear couplings of the `CP-odd' and charged Higgs bosons to the scalar top
and bottom quarks. Numerical estimates of the individual two-loop contributions
to electric dipole moments are given.
