Abstract: Annular metallic blanks which consist of packages of interconnected laminae or of sheet metal strips which are coiled edgewise and whose strata are riveted or otherwise secured to each other are converted into stators for electrical machines by cold forming between upper and lower dies and outer and inner calibrating members so that the inner diameter of each blank is increased during cold forming, that the peripheral surface of the stator has two cylindrical portions flanking a convex median portion, and that the outermost portions of the end surfaces of the stator are formed with annular recesses. Prior to cold forming, each blank is subjected to a preliminary shaping treatment including chamfering the axial ends of its internal and peripheral surfaces.