The invention concerns a storage device (23, 45) for storing receptacles (10), preferably cryo-vials (10), in a carrier structure (3), the storage device (23, 45) comprising pockets (20) each for holding an individual receptacle (10), wherein the pockets (20) are connected one above the other in direction of a common longitudinal axis (59) and the storage device (23, 45) being provided with openings for inserting and retrieving receptacles (10) into and from said pockets (20) in longitudinal direction (60) and/or in lateral direction (61). Also a storage and storage-access system according to the invention is indicated.