A device for milling and/or lathing workpieces including at least one machine bed, on which there is at least one tool holder and one workpiece spindle as part of a workpiece holder with an axis of rotation, whereby the tool holder has at least one tool drive with an axis of oscillation running parallel to the axis of rotation, whereby the workpiece holder and the tool holder can travel relative to each other in the direction of an axis of translation that runs at a right angle to the axis of oscillation. The workpiece holder has a linear drive that can travel in the direction of the axis of translation.