Abstract: An apparatus for machining workpieces includes a feed conveyor which has an alignment station and a discharge conveyor which adjoin a machining zone. Between the feed conveyor and the discharge conveyor, there is a transport device which is disposed at one side of the machining field and which has displaceable work holders which grasp the workpieces at one of their edges. The transport device receives the workpieces at the alignment station at the end of the feed conveyor, conveys them at substantially the same level to the machining station in the machining zone, transfers them there to vacuum work holders on a work rest, and then transports them, after the machining, to the discharge conveyor.