  We investigate a possible CP violating effect in $e^+e^-$ annihilation into
$t\bar t$ top quark pairs. As an illustrative example, we assume the source of
the CP nonconservation is in the Yukawa couplings of a neutral Higgs boson
which contain both scalar and pseudoscalar pieces. One of the interesting
observable effects is the difference in production rates between the two CP
conjugate polarized $t\bar t$ states.
