[Objective] Aiming at the problem that the single vector model predictive current control (MPCC) of the non-common bus open-winding permanent magnet synchronous motor with DC bus voltage ratio of 3∶1 needs to traverse all voltage vectors in the control set, which leads to a large computational burden, a finite control set predictive current control (FCS-MPC) strategy based on deadbeat control is proposed. By subdividing sectors, simplifying the control set, reducing the number of voltage vector traversals, and improving real-time performance. [Methods] Firstly, the position of the voltage vector corresponding to the sector was judged by establishing the sector discriminant. According to the voltage vector amplitude, the corresponding sector was divided into two sub-sectors. So as to simplify the control set while avoided the introduction of angle operation to increase the amount of calculation, affected the accuracy of judgment, and improved the computational efficiency. Then, the error between the reference value and the actual value of the dq axis current of the motor stator was used as the value function to continuously optimize and select the optimal voltage vector. [Results] To verify the effectiveness of the proposed FCS-MPC strategy, a comparative analysis was conducted through simulation. The results showed that the proposed method was similar to the traditional MPCC method in terms of steady-state performance, and the rotational speed fluctuation and current fluctuation of the two control methods were basically the same. In terms of computational efficiency, compared with the traditional MPCC method, the iteration times of the voltage vector of the proposed MPCC method had been reduced from 49 times to 4~5 times, a reduction of 50%. The proposed method could effectively reduce the computational burden of the traditional control method. [Conclusion] The simulation results show that the proposed method has a faster response speed and a shorter time than the traditional control method.