Method for producing shaped parts from wire by means of a multi-stage press, in particular for producing screws or rivets from wire portions, comprising: drawing in the wire from a wire supply in cycles and conveying the wire to a cutting system; severing wire portions from the fed wire in cycles by way of the cutting system; gripping a respective severed wire portion and feeding the wire portion into the work area of shaping tools; shaping the wire portion in multiple stages to form a shaped part with a shank portion and a head portion that is widened with respect to the shank portion by means of the shaping tools; ejecting the fully formed shaped parts in cycles by means of an ejector system; transporting away the fully formed shaped parts; characterized by the following steps: providing a pneumatic conveyor system for transporting away finished shaped parts, wherein the conveyor system comprises a transporting pipe with an insertion opening for successively receiving finished shaped parts; arranging the insertion opening in the vicinity of the ejector system in such a way that the finished shaped parts can be inserted into the insertion opening directly in a positionally oriented manner by means of the ejector system; successively feeding the finished shaped parts into the transporting pipe by means of the ejector system during the manufacturing operation; taking up the shaped parts inserted into the transporting pipe by suction into the transporting pipe; pneumatically transporting away the sucked-on shaped parts through the transporting pipe in the direction of a subsequent station. drawing in the wire from a wire supply in cycles and conveying the wire to a cutting system; severing wire portions from the fed wire in cycles by way of the cutting system; gripping a respective severed wire portion and feeding the wire portion into the work area of shaping tools; shaping the wire portion in multiple stages to form a shaped part with a shank portion and a head portion that is widened with respect to the shank portion by means of the shaping tools; ejecting the fully formed shaped parts in cycles by means of an ejector system; transporting away the fully formed shaped parts; characterized by the following steps: providing a pneumatic conveyor system for transporting away finished shaped parts, wherein the conveyor system comprises a transporting pipe with an insertion opening for successively receiving finished shaped parts; arranging the insertion opening in the vicinity of the ejector system in such a way that the finished shaped parts can be inserted into the insertion opening directly in a positionally oriented manner by means of the ejector system; successively feeding the finished shaped parts into the transporting pipe by means of the ejector system during the manufacturing operation; taking up the shaped parts inserted into the transporting pipe by suction into the transporting pipe; pneumatically transporting away the sucked-on shaped parts through the transporting pipe in the direction of a subsequent station. providing a pneumatic conveyor system for transporting away finished shaped parts, wherein the conveyor system comprises a transporting pipe with an insertion opening for successively receiving finished shaped parts; arranging the insertion opening in the vicinity of the ejector system in such a way that the finished shaped parts can be inserted into the insertion opening directly in a positionally oriented manner by means of the ejector system; successively feeding the finished shaped parts into the transporting pipe by means of the ejector system during the manufacturing operation; taking up the shaped parts inserted into the transporting pipe by suction into the transporting pipe; pneumatically transporting away the sucked-on shaped parts through the transporting pipe in the direction of a subsequent station.