The paper proposes theoretically the method of chaos synchronization by self-controlled feedback coupling-driving,and studies numerically on the condition of chaotic synchronization in two Bragg acousto-optic bistable (AOB) systems. The maximum conditional Lyapunov exponent (MCLE) are considered as the criteria of synchronization. It is found that one can gain the chaotic outputs synchronized of the two systems if one system is coupling-driven appropriately by another. When self-controlled feedback on parameter introduced, synchronization can be realized faster and the required minimum stiffness of coupling is decreased. The synchronization is also gained when the effect of noise is considered. The result of experimental test is also given.