A method is provided to cut a thin-walled member without causing chattering vibration, without using a chattering vibration preventing retainer, that performs the following: (A) preparing a material having much stock for obtaining a thin-walled material, (B) while rotating the material about a center axis, cutting the inner round surface of the material within a predetermined range by feeding a cutting tool relative to material by the desired distance from one end side to the other end side of the material along the center axis, (C) while rotating the material about the center axis, cutting the outer round surface of the material within a predetermined range by feeding the cutting tool relative to the material by the desired distance from the one end side to the other end side of the material along the center axis, and (D) alternately repeating (B) and (C) to finish cutting the material.