Methods for manufacturing a rotational non-axisymmetric lens which is manufactured by grinding using a machining tool, manufacturing a molding die for the lens, manufacturing a rotational non-axisymmetric mirror, and manufacturing a molding die for the mirror are provided. The provided methods are methods for manufacturing a rotational non-axisymmetric lens partially including a non-axisymmetric surface, manufacturing a molding die for the lens, manufacturing a rotational non-axisymmetric mirror partially including a non-axisymmetric surface, and manufacturing a molding die for the mirror. When a rotational non-axisymmetric surface is formed while scanning a surface of a workpiece by grinding or cutting means, the rotational non-axisymmetric surface is ground or cut by the grinding or cutting means while scanning the surface with movement in a direction along a meridional surface of the rotational non-axisymmetric surface.
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