PURPOSE: To furnish the metal sheet without the roll trace to the press machine by moving the leveler feeder body to the returning direction during stopping the feed of metal sheet, and at the same time, feeding out the metal sheet with the roll of the leveler feeder with the same velocity.

CONSTITUTION: In the leveler feeder driving device for pressing that a leveler feeder 4 on which upper and lower straightening rolls are alternate arranged, a reciprocating movement driving device 6 for the body, and a controlling means which feeds out the metal sheet 1 by driving rolls of the leveler feeder 4 during operating the feed of metal sheet and at the same time moves the leveler feeder 4 body to the feeding direction are provided, the leveler feeder 4 body is moved to the returning direction with the constant velocity and at the same time the metal sheet is fed out by driving rolls of the leveler feeder 4 with the same velocity during stopping the feed of metal sheet. In such a way, the roll trace generated at the roll stopping time can be prevented, and the metal sheet can be supplied to the pressing machine by each one time feeding operation.