A new dynamical system under external sinusoidal modulation based on acousto-optic bistable it-erative model is consturcted and investigated numerically. The results show that the state of the system takes on hysterical chaos and several kinds of evolution pattern under the modulation of the sinusoidal signal. As the amplitude of the modulation increases, the number of some evolution patterns in a modulation period will increase, the iterations needed for the first period window of the system will decrease, and the sketch amplitude of the modulated system will increase. In addition, the modulation frequency has no effect on the dynamical characteristics, only changing the number of the evolution pattern.