The deadbeat predictive current control for permanent magnet synchronous motor features fast dynamic response, excellent steady-state performance, and easy digital implementation. However, traditional deadbeat predictive current control exhibits significant steady-state current errors when motor parameters are mismatched. Therefore, this paper proposes an adaptive deadbeat predictive current control method for permanent magnet synchronous motor, which reduces the impact of parameter mismatches on current control performance. Firstly, the proposed method uniformly treats resistance, inductance, and flux linkage parameter perturbations as disturbances and designs adaptive disturbance laws for the dq-axis by incorporating adaptive control. On the basis, the disturbance is estimated online through the disturbance adaptive law, and disturbance compensation is carried out in the traditional deadbeat predictive current controller. This approach effectively reduces the adverse effects of mismatched parameters on the traditional deadbeat predictive current control. Secondly, the stability of the proposed control method was proven using discrete Lyapunov stability theory, and the values of the disturbance adaptive gains were determined through classical control theory. Finally, simulation and experimental results demonstrate that the designed disturbance adaptive law can rapidly and accurately estimate disturbances. Compared with traditional deadbeat predictive current control, the proposed method effectively suppresses the impact of mismatched parameters on current dynamic performance and steady-state error，while reducing the total harmonic distortion of the current.