The invention discloses an oscillating polishing grinder, which comprises a support assembly, a vibrating head assembly, a starter assembly, a cylinder seat assembly and a grinding assembly. The oscillating polishing grinder of the present invention is equipped with a vibrating head assembly, a cylinder seat assembly, etc., and uses pressurized gas to drive the abrasive tool to press on the surface of the work object to reciprocate and swing, to grind away the traces left by the original external grinding, and to achieve a mirror surface. It has high vibration frequency, does not change the original required size, good polishing and grinding effect, and is easy to install and operate. It is suitable for installation on machine tools, external grinding machines, surface grinding machines, and ordinary lathes. It is widely used in grinding and processing. prospect.