Abstract: Current source pulse width modulation(PWM) rectifier is difficult to control because of LC filter in its network side. The power waveform of rectifier based the traditional direct power control is pulsatile. Model predictive direct power control(MPDPC) is adopted to improve the traditional control strategy because of its excellent dynamic performances and intuitive control law. Firstly, the mathematical model of three-phase PWM rectifier is established, the power change rate in each sampling period is given, and the power relationship between adjacent sampling periods is derived. Then, single-vector-based model predictive direct power control strategy is given, and two-vectors-based model predictive direct power control strategy is proposed. The two current vectors are optimized, and the acting time in one sampling period is calculated and corrected. Finally, the feasibility and effectiveness of the proposed control strategy are verified by Matlab/Simulink.