The invention aims to provide a stepped compound throttling static-pressure gas spherical bearing. The stepped compound throttling static-pressure gas spherical bearing comprises a working surface, wherein the working surface is provided with static-pressure gas floating gas supplying points; a stepped throttling shallow cavity is arranged by taking each static-pressure gas floating gas supplying point as the center; the depth of each stepped throttling shallow cavity is gradually increased in the direction from the outer part to each static-pressure gas floating gas supplying point; the stepped throttling shallow cavities of the adjacent static-pressure gas floating gas supplying points are not communicated. Compared with a traditional static-pressure gas spherical bearing, the stepped compound throttling static-pressure gas spherical bearing has the advantages that both the bearing capability and the rigidity are improved by more than three times, and the homogenization effect on a positioning face machining error by a gas film is further improved.