A method for the manufacture of hollow body elements (21, 21′) using a progressive tool (10) having a plurality of working stations (A, B, C, D) in which respective operations are carried out, said hollow body elements having an at least substantially square or rectangular outer periphery and being for attachment to a component normally consisting of sheet metal (292) the method comprising the steps of cutting individual elements by length from a section present in the form of a bar section (1) or a coil and extending in a longitudinal direction by using a cut-off punch following prior punching of apertures (23) in the section and optionally after subsequent formation of a thread cylinder (29) and carrying out two operations on the section (1) in each working station (A, B, C, D) at the same time for each stroke of the progressive tool, wherein the cut-off punch (22) cuts the section (1) in a cut-off operation at a first position behind a first hollow body element (21) and at a second position behind a second hollow body element (21′), with the second hollow body element being led away in a direction transverse to said longitudinal direction of the section.