Cigarette packs, namely hinge-lid packs and soft-cup packs in particular, are designed in such a way that the pack content, namely a cigarette group, is surrounded on all sides by an inner wrapping (11) consisting of paper with a decorative print applied on the outside. For reasons of cost above all, the print is applied only on those surface regions of the inner wrapping (11) which are exposed when the pack (hinge-lid pack) is open or by virtue of construction. The inner wrapping (11) is produced by being severed from a paper web which, depending on the design of the inner wrapping and depending on the folding construction, has printed zones (34, 35), arranged at a distance from one another, or a continuous strip-shaped printed zone (43, 51) located along the edge of the web.