The invention relates to a three-freedom degree Halbach array permanent magnetism spherical synchronous motor, belonging to spherical electric machine manufacturing technical field, which comprises a base, a support bearing positioned on the base, a spherical rotor body, an outside stator, an output shaft, the spherical rotor body comprises a hollow spherical rotor yoke made by non-guide magnetism materials and a Halbach array permanent magnetism body, the output shaft is through the upper of the hollow spherical rotor yoke and is fixingly connected with the hollow spherical rotor yoke, column-shaped slots are provided around a cycle of the hollow spherical rotor yoke equator, the Halbach array permanent magnetism body are fixed evenly on one cycle of the rotor yoke equator along the column-shaped slots, the contact surface of the rotor yoke lower and the support bearing is ring-shaped arc surface; the outer stator comprises a stator casing and multi-row coils, an adjustable fixing bearing is provided on the lower side of the stator casing cover. The spherical synchronous motor of the invention can realize three-freedom degree movement, has simple mechanical structure and improved dynamic and static performance of the drive system.