This paper proposes a continuous-control-set model predictive control method for high-speed permanent magnet synchronous motors with inductance-capacitance-inductance output filter. This controller achieves no static error current tracking, resonance suppression and obtain excellent dynamic performance. Meanwhile, this method solves the shortcomings of the existing MPC method for HSPMSM with inductance-capacitance-inductance system that requires full state feedback or high-order observer. It can be realized only by either motor current or inverter current feedback, which greatly reduces the complexity of realize. These two kinds of feedback are written in a unified form. Simulation results verify the proposed method.