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With the analysis of the problems caused by the traditional direct power control for three-phase PWM rectifier, including the unfixed switching frequency, net side current harmonic component is high,and system settling time is long,a scheme on the model predictive direct power control for three-phase voltage source PWM rectifier is proposed in this paper. Constructing the objective function by using model predictive theory and calculating the partial derivative of the objective function, to predict the variations of active and reactive power in the next sampling period, which achieves the tracking control to the given power of next period. By using model predictive and the second order Langrange interpolation method to correct the power, which achieves the minimum error of active and reactive power between actual value and the predicted value. And using the PWM signal generated by Space Vector Pulse Width Modulation (SVPWM) to drive the power switch of rectifier, which makes the fixed switching frequency. The simulation results show that this scheme has better dynamic performance and stable performance; The system is not sensitive to the change of inductance parameters; it can reduce the Total Harmonic Distortion (THD) of AC-link current effectively and can improve the power factor of AC-link.