In the minimal supersymmetric standard model with explicit CP violation, as
sociated production of the lightest Higgs boson with heavier ones is analyz
ed. Due to explicit CP violation, the Higgs bosons are no longer CP eigenst
ates so that both of the heavy Higgs bosons contribute to the process. Whil
e the radiative corrections in the Higgs sector turn out to be quite import
ant, the vertex radiative corrections remain small as in the CP conserving
theory.