This paper reports the process of bifureation to chaos of the self-pulsing output with the changing of the parameters of the system in a liquid crystal hybrid optical bistable device under the condition of tR>>τ (where tR is the delay time of the feedback system, τ is the relaxation time of the liquid crystal). The bifurcations and chaos are calculated. The dynamical behavior of the system is analysed by the Fast Fourier Transform and the phase portrait. The experimental result is compared with Ikeda's theory.