A permanent magnet synchronous electric machine includes a stator and a rotor. Multiple wire grooves are provided peripherally on the stator, coils are provided within the wire grooves, and a stator tooth is provided between adjacent wire grooves. Multiple magnetic groove sets are provided peripherally within the rotor, each of the magnetic groove sets includes at least two magnetic steel grooves, with permanent magnets placed within the magnetic steel grooves, and a magnetic tunnel formed between the magnetic steel grooves. Of two adjacent magnetic tunnels, an end of one magnetic tunnel is opposite a wire groove and an end of the other magnetic tunnel is opposite a stator tooth. The permanent magnet synchronous electric machine has a more steady output torque, and also reduces the noise and vibration provided during operation.