Proposed is a method of producing an ultrathin-wall metal tube by a cold drawing method capable of drastically expanding an available size range toward much thinner side with respect to wall thickness of metal tubes. This is a diameter-expanding drawing method, in which an entry solid die, the diameter of which increases, remains constant or decreases from the engaging entry side toward the finishing exit side, and a delivery solid die, the diameter of which decreases at least in the vicinity of the engaging entry, are arranged in series and in an abutting relation on the same pass line, and a tapered plug, the diameter of which increases from the engaging entry side toward the finishing exit side, is caused to float along the pass line, whereby in the entry solid die region, the wall thickness is reduced while the mid-wall diameter of a hollow shell is being expanded between the solid die and the plug, and in the delivery solid die region, the tapered plug is caused to float by performing reduction working of the outside diameter. This method offers tremendously great economic advantages, because it is possible to produce ultrathin-wall seamless metal tubes and to make longer length tubes, and to realize the rationalization of processes in terms of yield, efficiency and the like.