The invention relates to an ultra-precise polishing method for curved surface parts and relates to the field of ultra-precise machining. The ultra-precise polishing method for the curved surface partscomprises the steps that under the room temperature, a workpiece is disposed in a polishing solution I and a second polishing solution II successively, and the polishing solutions are controlled to flow through a to-be-polished plane of the workpiece at a certain flow velocity for at least 5 min continuously, wherein the polishing solution I and the second polishing solution II each comprise, bymass, 1-25% of abrasive materials and 75-99% of base fluid; the abrasive materials of the polishing solution I are composed of aluminum oxide crystal whiskers, SiC crystal whiskers, ZnO crystal whiskers and carbon fibers; and the abrasive materials of the polishing solution I are ultra-hard material particles with the average grain size being 0.5-50 micrometers. By means of the method, protrusionsof different degrees on the material surface can be effectively removed, and a good polishing effect is obtained.