The invention discloses a sectionalized flexible roll convexity regulation and control roller. The sectionalized flexible roll convexity regulation and control roller is mainly characterized in that an axial center through hole is formed in a roll core, one or a plurality of parallel ring-shaped electromagnetic rods are arranged on the roll core, axial through holes are regularly formed in the ring-shaped electromagnetic rods to be similar to 'honeycombs' in the appearance, a bundle of wires penetrates each axial through hole, two ends of each bundle of wires are individually connected with power sources by slide rings, signals can be independently fed by each bundle of wires, a groove is formed in the inner peripheral surface of each electromagnetic rod, a temperature sensor is arranged in each groove, an insulating support ring is arranged between every two corresponding electromagnetic rods, grooves are formed in two end surfaces of each insulating support ring, two shaft sleeve endcovers are arranged on the outer sides of the electromagnetic rods at two ends of the roll core, one of the shaft sleeve end covers is positioned by shaft shoulders, the other shaft sleeve end coveris connected onto the roll core in a threaded manner, grooves are formed in the end surfaces, which are adjacent to the corresponding electromagnetic rods, of the two shaft sleeve end covers, cylindrical roll sleeves are arranged on the outer peripheral surfaces of the electromagnetic rods, the insulating support rings and the shaft sleeve end covers, and a slide ring is arranged on the top of theend, which is provided with a boss, of the roll core. The sectionalized flexible roll convexity regulation and control roller has the advantages of high plate shape regulation and control ability, roller stiffness and regulation and control speed.