The invention relates to a stator surface-mounted doubly salient permanent magnet motor with an auxiliary salient pole which has simple and firm structure, and constant power, wide speed-regulation operation range and higher power density; the motor comprises a stator (1) and a rotor (5), the rotor (5) is arranged at the inner part or outer part of the stator (1), the stator (1) and the rotor (5)are in a doubly salient structure, and a concentrated winding (3), a permanent magnet (2) and an auxiliary salient pole (4) are arranged on the stator (1), wherein, each concentrated winding coil of any one phase of the concentrated winding (3) is arranged in an iron core groove of the stator (1), and the coils of each a phase winding are connected serially or in parallel; the permanent magnet (2) is arranged on the salient pole of the stator (1), the outer surface of each stator tooth, facing to air gap, is mounted with two permanent magnets (2), and the polarity of two magnetic steels, below the same tooth, is the same, and the magnetism of the magnetic steel, below the adjacent stator tooth, is opposite.