We investigate CP-violation effects in the bosonic sector of the standard model (SM) with two Higgs doublets. First we calculate the mass eigenstates of the physical neutral Higgs bosons for the small but nonzero CP-violation parameter *, and then a "forward-backward" asymmetry AFB for the decay HW+W-Z that would be a signal of CP violation. Although the effects are in general small (AFB=FB10-3), AFB turns out to be a rather clean signal of CP violation, since neither the CP-conserving final state interactions nor the direct production background events contribute to FB. The CKM-type CP-violation effects that could in principle also contribute to AFB are negligible. The nonzero AFB, or related quantities, could possibly be detected at some later stage at the CERN LHC or SSC. © 1993 The American Physical Society.