CAM (20) sets an evaluation region in an adjacent plane to a target plane; calculates the position of the extremity of the product profile in the axial direction within the evaluation region; sets a first line segment passing through the position of the extremity and extending orthogonally to the axis in the target plane; locates a processing area in the range surrounded by the first line segment, a second line segment, and the product profile, the second line segment extending in the axial direction from an end of the first line segment to the product profile; allocates a trajectory for laser beam cutting to form a notch or a hole in the processing area; and allocates a trajectory for laser beam cutting to cut the material along the product profile. This can normally perform even cut-off processing of the material.