A novel damping control method permits improved reliability and higher accuracy when registering scumming during printing with an offset press. Signals are obtained by at least one sensor aimed at a revolving printing form cylinder. The signals are processed in a control device, actuating signals for a dampening solution metering device are produced, and the dampening solution is metered in accordance with the actuating signals by a dampening solution applicator roll in rolling contact with the surface of the printing form. The sensor provides a signal which reproduces an actual value of a width of an ink stripe that is induced by the process and located in the circumferential direction of the printing form cylinder. The stripe is formed in the printing image-free region of the printing form immediately after the trailing edge of the channel accommodating the edges of the printing form.