Abstract: A tool holder for boring, milling and the like machine tools has a conical shaft with a support member arranged coaxially on said conical shaft. The conical shaft fits into a conical first receiving bore of the machine tool spindle. The support member has a second conical receiving bore for the conical shaft of a tool. The second conical receiving bore is coaxial with the tool holder conical shaft and is smaller than the first receiving bore of the spindle. The tool holder conical shaft has a coaxial bore, in which is axially movable a collet carrier with a collet. The ends of the collet are constructed as claws and engage an annular groove at the free end of the tool conical shaft. Several axially acting cup-spring packages are arranged in the support member concentrically with respect to the second conical receiving bore. The cup-spring packages act onto the collet carrier through several radially extending support arms for clamping the tool conical shaft in the tool holder.