A machine for leveling a strip of material contains a lower stationary back plate from which extends vertical beams located on either side of a longitudinal axis. A lower stationary leveling chassis and an upper leveling chassis are provided. Each chassis contains spaced apart rollers. An upper stationary back plate is rigidly secured to the upper end of each beam, and a moving coupling device couples the upper leveling chassis to the upper back plate. A device allows a vertical translational movement of the upper leveling chassis in relation to the upper stationary back plate between a rest position where the rollers of the upper leveling chassis are moved away from rollers of the lower leveling chassis and a leveling position where rollers of the upper leveling chassis are moved towards rollers of the lower leveling chassis and the strip is forced to travel along an undulating path.