To roll a hard-to-work tube stock such as a Ni-base alloy tube without generating cracks on the inside surface.

This rolling method is composed so that the tube stock is drawn while imparting tensile force to the tube stock H from the front in the advancing direction of the tube stock H, the tube stock H is rotationally driven by frictional force with plural inclined rolls 21, the tube stock H is elongated between the inclined rolls 21 and a mandrel 11 which is inserted into the tube stock H and a rolled tube M is manufactured. In such a case, the mandrel 11 has a tapered face 11c which is opposed to the rolling face on the inlet side of the inclined rolls 21 and elongation is executed so that the next conditional expressions are satisfied. θm=θr...(1), 0≤Rm≤20...(2). Where, θm is the face angle of the tapered surface of the mandrel, θr is the face angle on the inlet side of the inclined rolls, Rm is the thickness reduction ratio in the tapered part, Rm=(to-tm)/to×100, t0 is the wall-thickness of the tube stock and tm is the wall-thickness of the tube stock at the tapered surface of the mandrel.