To provide a polishing method of a spherical surface and an aspherical surface capable of polishing/finishing a surface having large roughness as a mirror surface having small surface roughness without collapsing a surface shape such as a spherical or aspherical lens highly accurately molded in a shape or a molding surface of a lens molding metal mold for molding these lens by NC grinding work or NC cutting work.

In a polishing method of a spherical surface and an aspherical surface, a linear abrasive 1 is made to travel between the feeding part 2 and a winding part 7, the linear abrasive 1 and a polishing object surface 13 of a polishing object 12 are relatively moved between traveling processes of the linear abrasive 1, and the linear abrasive 1 is brought into pressure contact with the polishing object surface 13 to polish the polishing object surface 13 while supplying an abrasive between slinding contact surfaces 13a of the polishing object surface 13 and the linear abrasive 1.