The invention relates to a method for producing threads, especially internal screw threads (34), by means of a rotationally driven thread former (10) which drive the pitches of the screw thread outwardly in a non-cutting manner by pressure forming in and on the surface of the workpiece. The aim of the invention is to produce threads with various nominal diameters in a particularly economical manner and with improved structural quality. In order to achieve this, a shank tool (10) is fitted with profile projections which are arranged at a constant distance in relation to each other according to the type of thread milling cutter. Said profile projections (20) are formed in a continuous manner and have a variable radial extension on the periphery of the head of the thread (18), and are initially inserted into the tool at a point on the periphery (SU) of the workpiece bore in the workpiece. Said workpiece is arranged, preferably, at the full thread depth (TG), and a relative circular movement of 360° in relation to the axis (30) of the workpiece bore (16) is carried out maintaining the eccentricity (EX) of the rotational axis adjusted by the axis (30) of the workpiece bore (16), while the head of the thread also carries out a constant axial relative forward displacement movement (BV) corresponding to the thread pitch (P) which is to be produced.