Curved surface parallel polishing device

The invention relates to a curved surface parallel polishing device. The curved surface parallel polishing device comprises a polishing assembly, a horizontal mobile platform and a parallel movement platform, wherein the horizontal mobile platform and the parallel movement platform are arranged on a same supporting plate opposite to each other, and the parallel movement platform is arranged on the top of the horizontal mobile platform. The parallel movement platform comprises a fixed platform, a movable platform and a smooth head, wherein the fixed platform is connected to the horizontal mobile platform, the movable platform is connected to the fixed platform through movable branch chains, and the smooth head is arranged in the middle of the movable platform. The six-degree-of-freedom parallel movable platform can flexibly realize polishing machining of complex curved surface tracks such as a blade, and reduces vibration in the polishing process. A bench grinder assisted by the horizontal mobile platform can switch between rough machining and fine machining, so that the machining efficiency is remarkably enhanced; the smooth head can realize precise and stable force control; and a protective hood can effectively isolate dust and chips and prevent damage to personnel as a grinding wheel is broken or sparks happen during polishing, so that the safety of the operating staff is protected.