The invention provides a rotor structure, an asynchronous starting synchronous reluctance motor and a compressor. Multiple layers of magnetic barrier slots 13 are arranged on a rotor body 10. The twoends of each magnetic barrier slot 13 extend along a q axis of the rotor body 10. The radian of the magnetic barrier slots 13 increases outward along a radial direction of the rotor body 10. The outerarc of each magnetic barrier slot 13 is larger than the inner arc of the magnetic barrier slot 13. The width of each magnetic barrier slot 13 gradually increases from a d axis of the rotor body 10 tothe two ends of the magnetic barrier slot 13. Through the arrangement of the magnetic barrier slots, the difference of magnetic flux between the d axis and the q axis can be effectively increased, and so the motor with the rotor structure can generate reluctance torque so as to increase the output torque and efficiency of the motor, thereby improving the performance of the motor.