  We analyse CP-violating effects in Z \to 4 jet decays, assuming the presence
of CP-violating effective $Z b \bar{b} G$ and $Z b \bar{b} G G$ couplings. We
discuss the influence of these couplings on the decay width. Furthermore, we
propose various strategies of a direct search for such CP-violating couplings
by using different CP-odd observables. The present data of LEP 1 should give
significant information on the couplings.
