In order to improve the dynamic response speed and steady accuracy of the dynamic voltage restorer, this paper proposes control strategies based on model predictive control (MPC) and analyzes design methods of controller parameters in detail. On the basis of analysis of the main circuit model for dynamic voltage restorer, the model is improved by the inner current controller and the one-step prediction model of controlled object needed by MPC is acquired, and then a model predictive controller is designed. The proposed control algorithm overcomes the difficulty that traditional model predictive control algorithm based on non-parametric prediction mode is difficult to be directly applied to power systems such as rapid real-time system due to complexity of the algorithm, difficulties of parameter adjustment and amount of computation. It has the merits of feedback correction and dynamic optimization of MPC. Under satisfactory steady accuracy conditions, the proposed strategy improves dynamic response speed significantly. The feasibility of the proposed controller is verified through experimental analysis compared with classic control strategy.