In order to improve speed of dynamic response, this paper studied the memory state feedback stabilization for time-varying delayed neural networks systems. By using the second method of Lyapunov, the state feedback controller is given to ensure that the system is asymptotically stable. The related theories are expressed in terms of linear matrix inequalities (LMIs). An example is given to illustrate the effectiveness of the proposed criterion. The simulation results show that this method has excellent control effect.