In order to control the cut register in multi-web operation in a web-fed press and to control the web tension in a web section, image information or measuring marks from printed webs and web tensions in different web sections are registered by sensors and supplied to a control device. To correct the cut register error of at least one web, either the speed of at least one clamping point located before the knife cylinder and/or the position of the knife cylinder and, to correct the web tension, the speed of at least one further clamping point is changed, so that the actual value of the part and/or total cut register error of at least one web and the at least one web tension arc corrected to the associated predefined set points.