Abstract: A clamping device of a tool holding plate is provided for an automatic lathe, by means of which a tool holder can be detachably fastened in a receiving slot in the tool holding plate so as to be secured in place and rotationally fixed, wherein the clamping device can be detachably fastened to the tool holding plate by fastening means. Cooling of tools during operation is provided by a coolant jet introduced into the direct vicinity of the tool by means of a coolant channel arranged in or on the clamping device, running at least partially across the clamping device from an inlet, via an intermediate channel to an outlet.