Abstract: A forming machine that produces shaped parts from an elongate workpiece, or produces complexly bent parts from wire, includes devices that convey an elongate workpiece to a forming system having a plurality of forming units, wherein each of the forming units has a tool holder having a tool receptacle that receives a forming tool which, by way of an actuating movement of the tool holder directed transversely to a local transport direction of the workpiece, is able to be reciprocated between a position retracted from the workpiece and an engaging position by a numerically controlled actuation axis of the forming unit, wherein the forming system includes at least one first forming unit and at least one second forming unit.