Abstract: The invention relates to a numerically controlled tool-holding device for jet/beam cutting. It is a device designed specifically for the requirements of jet/beam cutting of thick, plate-shaped components, and it is to be understood as a component of a gantry-type, robot-like machine. With the aid of this device it is possible to change the orientation of the jet/beam-producing tool (3) relative to the component and to produce the bevel forms which are usual in this plate thickness range—very flat bevels of great length are typical—without the risk of collisions and with particularly great accuracy. The device is designed to withstand the environmental stress which prevails during jet/beam cutting of thick, plate-shaped components, i.e. great heat and the production of large amounts of dust.