A curved surface cutting method in which a surface of a material is cut by a bite to form a specified curved surface, a cutting edge of the bite is provided with a flat section and corner sections at both ends of the flat section; the posture of the cutting edge of the bite is adjusted such that a ridge line along the flat section of the cutting edge of the bite is in parallel with a tangent drawn at the curved surface; and the surface of the material is cut with the cutting edge of the bite retained in the posture while feeding the cutting edge in a predetermined feeding direction, thereby forming a first band-like cut surface having a width corresponding to the width of the cutting edge of the bite. Each time the band-like cut surface is completed, the cutting edge of the bite is separated from the surface of the material, the cutting edge of the bite is moved in a direction perpendicular to the predetermined feeding direction by a distance shorter than the width of the cutting edge of the bite, and another band-like cut surface is formed at a position adjacent to the first band-like cut surface.