The device has at least one register adjusting motor (1) with variable rotation speed. It also has a control unit (2) to control the rotation speed of the motor. The motor is controlled according to the magnitude of the register error in each predetermined direction. The device has a first register adjusting motor of variable rotation speed. It is controlled according to the register error in a first direction. It also has a second register adjusting motor (1') controlled according to the register error in a second direction. The first adjusting motor is connected to one shaft end of a plate cylinder (5) via a device for lateral register adjustment. The first motor has belt plates, a screw threaded shaft and a connection component. The second motor (1') is connected to the other shaft end of the cylinder via a device (10) for perpendicular register adjustment.