An apparatus for leveling thin metal strip moving longitudinally generally in a plane in a travel direction has at least one upstream roll rotatable about an axis and engaging the strip, at least one downstream roll rotatable about an axis and engaging the strip downstream of the upstream roll, and a drive connected to at least one of the rolls for exerting tension on the strip between the rolls. In accordance with the invention pivoting one of the rolls is pivoted about an axis substantially perpendicular to the plane or parallel to the direction so as to vary the tension in the strip across a width of the strip and thereby locally plastically deform the strip to level it.