The motor driver is a critical component of the electric drive system in electric vehicles, and its control performance plays a crucial role in improving the safety, comfort, and reliability of electric vehicles. Finite-control-set model predictive control (FCS-MPC) shows significant potential for application in the control of permanent magnet synchronous motors (PMSM) within electric drive system. In response to the challenge of balancing the steady-state performance of PMSM and the efficiency of the inverter within the FCS-MPC method, this paper proposes a hybrid vector model predictive control method based on the inverter loss model. Firstly, the PMSM current predictive control model and the cost function of MPC are derived to evaluate the steady-state performance of the PMSM corresponding to the output voltage vector. Secondly, the inverter loss model is established to evaluate the losses in the inverter. With the help of the cost function and the converter loss model, optimal combination of voltage vector can be selected to reduce inverter losses while ensuring the steady-state performance of PMSM. Finally, the proposed control strategy is verified by simulation analysis using MATLAB/Simulink platform.