To provide a polishing method and a smoothing method of optical parts by which polishing and smoothing of optical parts are achieved without using polishing materials such as a fining pad, a diamond sheet and a nonwoven fabric polishing pad.

When optical parts are smoothed and/or polished, the polishing materials which are stuck on a face of each kind of polishers of a curved surface shape and used are not required by means of including a particulate polymer in slurry.