The stability of the electrical-optical bistable system is theoretically analyzed and the stability of the fixed points is researched by diagrammatized mode.Through the method of numerical caculation,the concrete positions of the bifurcation points are caculated,the ways of chaos generation are studied which are intermittent chaos and period doubling bifurcations.Bifurcation diagram of the system state evolving with parameter and largest Lyapunov exponent changing with parameter of the system all show that the analysis is reasonable in theory .