Abstract: The invention relates to a multi-spindle machine tool, in particular a multi-spindle automatic lathe with several workpiece spindle units. These are arranged around a central axis, can be driven rotationally and can be advanced from one machining position to the next. In order to provide the greatest possible flexibility in the machining of workpieces in a machine of this type, the invention envisages that the workpiece spindle units can be moved independently of one another along a movement path running around the central axis. The machining positions are designed in the form of machining segments within whose limits the respective workpiece spindles or workpiece spindle units can move along the movement path during a machining process.