The invention provides a copper pipe clamping tool of a copper pipe punching machine. By means of the copper pipe clamping tool, a copper pipe can be clamped fast and conveniently, and the efficiency is high. The copper pipe clamping tool comprises a clamping jaw used for clamping the copper pipe. The copper pipe clamping tool is characterized by further comprising a sleeve, an adjusting sleeve, a sleeve seat, a base sleeve, a base and a driving device; the base sleeve is installed on the base; the base sleeve is sequentially sleeved with the sleeve seat, the adjusting sleeve and the sleeve; the sleeve seat is fixedly connected with the base sleeve; the sleeve seat is in threaded connection with the adjusting sleeve; the sleeve moves axially along the base sleeve under the action of the driving device; the clamping jaw comprises a clamping head, an installing part, a connecting part, arc-shaped elastic connecting arms and a clamping ring; one side of the clamping ring is fixedly installed in an annular clamping groove in the outer side of the sleeve seat, and the multiple elastic connecting arms are distributed on the other side of the clamping ring along the annular end face; the elastic connecting arms bend towards the outer side of the clamping ring, and the front ends of the elastic connecting arms are connected with the installing part; the installing part is inserted in an installing groove in the rear end of the clamping head and fixed through a bolt; the connecting part is of a conical structure which becomes wider from the end close to the elastic connecting arms to the end close to the clamping head.