The invention discloses a spherical hinge which is provided with a large operating space. The spherical hinge is characterized in that a double-lug supporting frame (10) and a lower supporting rod (11) are fixedly connected with a supporting ball socket (1) into a whole, the double-lug supporting frame (10) is rotationally connected with a U-shaped shifting fork (3) through pins (2 and 9), the U-shaped shifting fork (3) is installed at the outer side of the double-lug supporting frame (10), a rotating supporting frame (6), the pins (7 and 7`) on the rotating supporting frame and supporting rollers (8 and 8`) are nested on an output rod (5) together, and the lower end of the output rod (5) is fixed with a ball head (4) centrally and is arranged in the supporting ball socket (1); the U-shaped shifting fork (3) is a semicircular arc cylindrical combined body, pin holes are arranged at both ends of the U-shaped shifting fork, and a radial sealed long groove internally and externally transparent and taking the middle plane of axial width as a symmetrical plane is arranged along the circumferential direction; the output rod (5) penetrates through the sealed long groove and can swing reciprocally in the sealed long groove. The spherical hinge has the advantages that the swinging space of the output rod is large, the structure is simple, and the volume is small, etc. The important basic unit in mechanism, namely the performance of the spherical hinge is changed in the spherical hinge, thereby bringing important influence to the mechanical design in engineering.