Abstract: In this paper, we study the anti-lag synchronization control problem of a class of chaotic memristive neural networks with time-varying delays, and propose a linear feedback controller that employs differential inclusions theory, the Lyapunov function, and the Halanay inequality technique. By choosing proper controller gain, we can achieve anti-lag synchronization of the drive and response systems in this class of chaotic memristive neural networks. In addition, the controller is easily implemented in practice. The results of a numerical simulation example demonstrate the effectiveness of the proposed controller.