Aiming at the problem of poor tracking dynamic performance of harmonic signal and single control target in the traditional vector control strategy modulated by 3D-SVPWM, a predictive control strategy of multi-objective optimization model is proposed in the three-phase four-wire asymmetric load system. The discrete mathematical model of four-arm active power filter (FAPF) based on the αβγ coordinate system is established to realize natural decoupling control. Two-step prediction of the predicted current is performed to compensate for the delay effect. The current tracking bias and switching frequency is set as the objective function, and the control objectives and the control effect pre-assessment of the switch state are quantified. The switching state of the converter is determined by the evaluation results and the PWM modulation is omitted. The influence of sampling frequency and weight coefficient on switching frequency and current distortion is discussed. The simulation results show that the proposed strategy harmonic current has good tracking performance and can effectively reduce the switching frequency. This work is supported by National Natural Science Foundation of China (No. 51307152) and Science and Technology Project of State Grid Corporation of China (No. 5217F0140047).