The model predictive current control (MPCC) strategy for permanent magnet synchronous motor has been widely used because of its good dynamic performance, but the strategy is more dependent on the accuracy of model parameters. In order to improve the parameter robustness of the system while maintaining the dynamic performance of the control system, a three-vector based incremental MPCC strategy is proposed. A model reference adaptive inductance identification algorithm based on d axis current is introduced in MPCC, and the adaptive law is analyzed. Simulations based on Matlab/Simulink are carried out, the results show that the proposed strategy can achieve the reduction of the prediction error caused by the mismatch of flux linkage parameters while maintaining the dynamic performance of the three-vector predictive control. In addition, the model reference adaptive algorithm based on d axis current can perform fast and stable inductor parameter identification, which effectively improves the parameter robustness of the control system.