Abstract: Method of producing bright steel from rolled steel wire, in which the diameter of the rolled wire is first reduced by passing the same through a calibrating device, preferably a reducing mill, whereby internal stresses assymetrical with respect to the wire axis are produced in the wire, thereafter removing peripheral surface portions from the wire and subsequently straightening the wire, and subjecting the wire before removing peripheral surface portions therefrom to a radial bending force rotating about the axis of the wire to plastically deform the latter to thus reduce the assymetrical internal stresses to thereby improve the perfect roundness of the finished product.