An asymmetric groove-shaped permanent magnet synchronous motor comprises a stator and a rotor; the rotor is in the stator and coaxial with the stator, so as to form a concentrated winding stator type permanent magnet synchronous motor; a rotor shaft is arranged on the axes of the rotor; a plurality of permanent magnets are evenly arranged on the rotor in the circumferential direction of the rotor; a stator winding is arranged on the stator. The stator is formed by surrounding a plurality of same circumferential stator sections, and rabbets are formed between the individual circumferential stator sections respectively; the circumferential stator sections are formed by laminating a plurality of separate stator tooth stamped steels, and the tooth crowns of the stator tooth stamped steels are asymmetric structures about the stator tooth stamped steels. The torque of tooth space is reduced in the structure of the asymmetric groove-shaped permanent magnet synchronous motor.