A device is used to store blankets or dressings which are to be supplied to a cylinder of a printing machine. A plurality of such blankets or dressings, which are to be applied to the cylinder adjacent each other and axially spaced, are stored next to each other. These blankets or dressings are stored vertically above a supporting surface, in at least two vertically offset planes. The offset planes form a first storage position and the supporting surface forms a second storage position once at least one of the blankets or dressings has been stored in the different planes.