Unlike the PMSM control system directly supplied by the DC power source, the PMSM control system based on bidirectional quasi-Z-source inverter improves the bus voltage utilisation and eliminates the effect of dead zone on the control system. However, the actual operation of the motor generates q-axis current ripples, and due to the existence of the anti-parallel switching tubes in the bidirectional quasi-Z-source inverter, the q-axis current ripples in the non-directed state will affect the DC side of the inverter, resulting in the current and voltage fluctuations of the DC chain of the bidirectional quasi-Z-source inverter, which further affects the motor's operating performance. In this paper, a power feed-forward correction strategy is proposed, which takes the disturbance of motor torque as a feed-forward quantity, combines with the small-signal mathematical model of bidirectional quasi-Z-source inverter, calculates the influence of Z-source DC chain current fluctuation on the q-axis current of the motor, and adds it into the closed-loop of the q-axis current through the power feed-forward correction control, so as to improve the steady state accuracy of motor operation. Finally, the effectiveness and feasibility of the power feedforward correction strategy proposed in this paper for motor torque pulsation suppression are verified by simulation and experiment.