To produce a chimney-shaped hole having accurate size on a tubular member.

By mounting the intermediate layer of a material which can be etched on a core roll and mounting at least one layer of metallic layer on the intermediate layer, a metallic tube is formed on the core roll and, after performing each engraving step by repeating the engraving step, that is, mechanical engraving and forming of the chimney-shaped hole in the metallic tube by removing metal from a selected position of the metallic tube engraved by performing the engraving step. Thus, the chimney-shaped hole is formed in the metallic tube, and the intermediate layer is removed by etching and a mechanically engraved tube is dismounted from the core roll.