  Since decays to four leptons is widely considered a promising way to search
for the Higgs particle, we show how the same final state can also be used to
search for signals of CP nonconservation. Energy asymmetries and triple
correlations are related to parameters in the underlying CP violating effective
interaction at the $H^0$-$W$-$W$ and $H^0$-$Z$-$Z$ vertex. Expected size of the
effects are shown to be small for both the Sandard Model and its extension with
an extra Higgs doublet.
