This paper proposes a new modular arc-linear flux-switching permanent magnet motor (MAL-FSPM) used for directly driving objects rotate back and force within a limited angle. Due to double salient effect and end effect, cogging torque of MAL-FSPM is very high, especially for rotor end meeting stator end. A novel cogging torque reduction method is proposed. New structure of MAL-FSPM is established based on the proposed method. 2D finite element method (FEM) results are obtained to verify validity of the method. Results show that cogging torque can be greatly reduced for whole operation range.