The structure of permanent magnet flux‐switching linear motor (PMFSLM) with permanent magnet and coil as short primary mover and slotted core as long secondary stator can solve the problem of high cost in the long‐stroke transportation field, but PMFSLM has the phenomenon of top magnetic flux leakage. The permanent magnet on the mover side of U‐shaped permanent magnet flux‐switching linear motor (UPM‐FSLM) is arranged in a U shape, which improves the utilization rate of the permanent magnet of the motor. In order to reduce the edge effect and suppress the thrust ripple, based on the size parameters of PMFSLM prototype, a UPM‐FSLM with arc‐shaped assistant permanent magnet teeth structure is proposed, its specific structure and operation mechanism are introduced; In order to obtain the optimal thrust characteristics, the Taguchi method is used to screen the arc‐shaped assistant permanent magnets teeth sensitive parameters, and then the NSGA II algorithm based on the response surface method is used for comprehensive multi‐objective optimization. The results show that compared with PMFSLM, the average thrust of the optimized motor is increased by 16.09%, and the thrust ripple is reduced by 91.78%. © 2023 Institute of Electrical Engineer of Japan and Wiley Periodicals LLC.