A device for storing a plurality of CDs has a housing which is directed horizontally along its longitudinal axis and stand elements at its two end sides. To accommodate a respective CD, a plurality of compartment elements are disposed side by side, perpendicular to the longitudinal axis and mounted on the housing such that they can be swung out about an axis extending parallel to the longitudinal axis from a storage position inside the housing to a removal position outside the housing. Swinging the compartment elements in to the storage position produces a compact, space-saving storage device. When a compartment element is swung out to remove a CD, the CD which is held therein can easily be grasped by the user.