Progressive tool for the manufacture of hollow body elements such as nut elements for attachment to components normally comprising sheet metal, in particular for the manufacture of hollow body elements having an at least substantially polygon outline by cutting individual elements to length from a section present in the form of one of a profile bar and a coil after prior piercing of apertures into the section, optionally with subsequent formation of a thread cylinder using a progressive tool with a plurality of working stations, wherein in each case two operations are simultaneously carried out for each stroke of the progressive tool in each working station for the section or for a plurality of sections arranged alongside one another, wherein an upsetting process is carried out in a first working station for the manufacture of a cylindrical projection at the second broad side, a piercing process is carried out in a second working station by means of a cylindrical piercing punch, a flattening process is carried out in a third working station for the manufacture of an undercut of the cylindrical projection and the separation of in each case two hollow body elements from the section or from each section is carried out in a fourth working station by means of the cut-off punch.