This paper addresses the problem of stabilizing discrete-time linear systems with quantized output feedback control, in which sensors, controllers and plants are connected by communication channels. The approach to be proposed here is employed to design a quantization and control scheme to stabilize an unstable plant by means of Lyapunov function. It is derived that based on the policy, the dynamic output feedback controller can stabilize the unstable plant. Simulation results show the validity of the proposed quantization policy.