When the state of charge of the pure electric vehicle power battery drops to a certain level, the actual output power of the battery cannot meet the control requirements. Considering the influence of battery power on motor control, a predictive current control strategy for permanent magnet synchronous motor (PMSM) based on battery output power is established. Use deadbeat predictive control to predict the current value and then calculate the desired motor power. When the desired power of the motor exceeds the battery power, the desired power value is reduced by reducing the target speed and limiting the control current. Through simulation and experimental verification, the control strategy proposed in this paper can reduce the expected power of the motor when the output power of the battery decreases, so that the motor can continue to operate normally. And compared with the traditional control strategy, the dynamic response speed of the motor is faster, the response time is shortened by more than 50%, the power fluctuation is smaller, and the dynamic performance is significantly improved. The results show that the current predictive control strategy of PMSM based on battery output power is effective.