Abstract This paper introduces and discusses the Rotation and Revolution Polishing (RRP) method which meets increasing demands for high quality aspherical optics and higher precision polishing techniques by its unique machining positions and tool shapes. The RRP method is a promising precision polishing method as it can stably maintain polishing tool shapes and uniformly generate the surface roughness by through optimum polishing velocity distribution. Experiments were conducted to determine and prove the of effectiveness of mathematic models on polished profiles based on the Preston equation under diverse conditions.