Abstract: A quick-change chuck for holding a tap of a tap drill comprises a member connectable to the spindle of the drill and a chuck head for holding the tool. The chuck is further provided with the device for an axial compensation for a difference between the spindle stroke and the pitch of the thread of the tap drill. This device includes a compression-responsive device which makes possible an axial compensation in the case of the compression force directed towards the spindle-receiving member, and a separate independent tension-responsive device which makes possible an axial compensation when a tension force acts on the chuck in the direction away from the spindle-receiving member. Each axial compensation device includes axially displaceable balls positioned in axial cylindrical passages provided in the spindle-receiving member and the chuck head, respectively.