Abstract: In the case of a spinning machine for the pneumatic false-twist spinning of staple fibers, it is provided that each spinning point is constructed as a double spinning point for subjecting two slivers to spinning which comprises devices for drafting which is common to both slivers, respective separate devices for pneumatic false-twisting and respective separate devices for winding the yarns onto intermediate packages, and that, in an automatic interconnection, a spooling machine is arranged which rewinds the yarns of the intermediate packages onto normal packages.