Abstract: The finite control set model predictive control (FCS-MPC) has the problems of large computation unfixed switching frequency, and poor control accuracy when the sampling frequency is low. Aiming at these problems, a fast selection of three-vector PWM rectifier based on model predictive low frequency control was proposed for the two-level three-phase rectifier. The voltage reference vector of the rectifier was obtained by the principle of deadbeat control, which simplified the prediction process. Then the cost function of the voltage tracking control was derived from the cost function of the power tracking control. Finally, the two effective vectors and zero vertor in a control period were determined according to the sector. The action time of the three vectors was obtained by the voltage tracking control function. Through simulation, compared with the traditional FCS-MPC, the proposed method can quickly select the voltage vector, achieve the fixed switching frequency, and reduce the power ripple the switching frequency.