  We demonstrate that decay angle correlations in $\taum\taup$ and $t\anti t$
decay modes could allow a determination of whether or not a neutral Higgs boson
is a CP eigenstate. Sensitivity of the correlations is illustrated in the case
of the $\epem\rta Z \hn$ and $\mupmum\rta \hn$ production processes for a
two-doublet Higgs model with CP-violating neutral sector. A very useful
technique for minimizing `depolarization' factor suppressions of the
correlations is introduced.
