Abstract: Predictive current control of PMSM drive systems has the characteristics such as good dynamic performances and easy digital implementation. However, when the speed of permanent magnet synchronous motor（PMSM） is high, the ratio of the control frequency to the working frequency that is the frequency ratio, of PMSM tends to be low limited by the switching frequency of the inverter, sampling time or algorithm execution time. At this time, there is greater model inaccuracy in the forward Euler approximation based discrete model commonly used in traditional predictive current control, which makes it hard for current controllers to control the d-q currents to follow their references. For this purpose, this article proposed a modified predictive current control method for the case of low frequency ratio, which consisted of a discrete model considering rotor movement and a current compensation scheme. Compared with the discrete model obtained by forward Euler approximation, the discrete model considering rotor movement has obvious advantages in less model inaccuracy at lower frequency ratio. The current compensation scheme enhances the robustness of the controller against model inaccuracy and parameter mismatch. The proposed method is able to realize current control in low frequency ratio. The experiment results show the feasibility and effectiveness of proposed method.