The invention discloses an internal hook face polishing machine and a work method thereof, and belongs to the field of surface treatment. The internal hook face polishing machine comprises a rectangular base, a lifting device, a globoidal indexing device and a universal adjusting rod. A first connecting plate, a second connecting plate and a third connecting plate are scattered to be processed, sothat processing and manufacturing are convenient, and convenience is achieved in the mounting process of assembling personnel; and labor is saved, the assembling efficiency is improved, and the moreprocessing cost is reduced. Adjusting cushion blocks are arranged on the first connecting plate, the second connecting plate and the third connecting plate, the planeness of whole lifting face is adjusted, the requirement for the lifting planeness is met, and the processing cost is further reduced.