Abstract: A method of manufacturing a tire bead ring of the package type by winding metal wires on a form of revolution, the radially inner face of the tire bead ring having a frusto-conical shape of half angle .alpha. at the apex and of radius R with respect to the axis of rotation of the tire bead ring, in which a permanent circular deformation is effected on the wires prior to their winding on the form of revolution, is improved due to the fact that the permanent circular deformation is a radial deformation of a radius substantially equal to the radius R of the tire bead ring and is effected on the wires whose one principal axis of inertia of their cross section is inclined by one angle .alpha. with respect to the axis of winding of the wires on the form of revolution.