A quantized flocking control of a group of second-order multiple agents is proposed to deal with the problem of the exchange of information needed to quantify. Firstly, it is assumed that the uniform quantizer is used for the exchange of relative position and velocity information between neighboring agents, and the virtual leader moves at a steady speed in a straight line. Then multiple agents flocking controller is designed based on the quantitative information. The Lyapunov stability criterion of nonsmooth systems and invariance principle are used to prove the stability of the systems. Simulation results show the correctness of the theoretical analysis.