Abstract: Packaging, particularly for a carton of cigarette packs, includes opening structure permitting easy access to one or more of the objects or packs of cigarettes which it contains. The opening structure includes a line of pre-weakened resistance, comprising pre-cuts, either passing completely through the material constituting the packaging or incompletely through the thickness of that material. Individual pre-cuts may be separated by interconnected attachment portions. The line of weakened resistance may partially or completely surround a surface disposed on one, two, or three faces of the packaging. Structure for starting the opening may be provided. A process and a device permitting such packaging are also disclosed.