Abstract: The present invention provides an outer frame for cubic hinge press and the cubic hinge press with this outer frame, said outer frame encloses an accommodation space; The supporting planes used for supporting and fixing the back cover plates of hinge sleeve cylinder are set around the inner walls of the outer frame and on the inner walls of upper and lower surfaces of outer frame; A window for the assembly, disassembly and maintenance of press is correspondingly set between two adjacent supporting planes on the outer frame. According to different needs, the outer frame may be designed as square frame, butterfly frame, basket type frame or spherical frame. The hinge press formed by connecting six hinge sleeve piston components through reinforcing plate or through hinge ears and pins is installed in the accommodation space enclosed by the outer frame, thus forming a cubic hinge press.