A method for successive printing of a first print job and a second print job on the same web using at least one printing group of the rotary press to print the first print job and the second print job is provided. The printing group includes at least a plate cylinder, a plate, a blanket cylinder and a blanket. Between the first print job and the second print job, a plate-changing stage occurs in which the blanket is held away from the web and the plates of the plate cylinder are changed. According to one aspect of the invention, between the first print job and the second print job, the web is kept traveling through the rotary press.