CP violation in baryon decay processes is still undiscovered to date. We present a general analysis of the decay-angular distributions and the corresponding CP asymmetries in cascade decays of the type H-* R (-* ab)c, ) c, where H is a heavy hadron that decays through weak interactions H-* Rc and the resonance R decays strongly via R-* ab. Based on the analysis, we propose to search for CP violation in the decay-angular distributions in the cascade decay processes-* B M, with B or M subsequently decaying through strong interactions, where is the mother baryon, B and M are the daughter baryon a...