A tool for machining a workpiece, in particular a milling tool, is presented. The tool incorporates a shank which is drivable rotatably about a longitudinal axis and is fixable to a tool holding fixture. The tool further incorporates a plate holding fixture that is arranged on one end of the shank, a support plate having at least one internal thread, a cutting element with at least one cutting edge, and at least one fastening element which is provided with an external thread that is adapted to the at least one internal thread.