Abstract: Device for machining work pieces rotating around a work piece axis (Z) with a tool that rotates around a tool axis, where a clamping device (9) is transferred into a first position, a work piece to be machined is clamped on said clamping device, the clamping device (9) with the work piece clamped thereon is transferred from the first position into a spatially separated second position where it can be driven to rotate around the work piece axis (Z) by a work piece spindle (1) connected to the clamping device (9) and after the work piece has been machined, the clamping device (9) is transferred from the second into the first position, wherein the clamping device (9) is separated from the work piece spindle (1) in the transfer from the second into the first position, and connected to the work piece spindle (1) in the transfer from the first into the second position (FIG. 1).