A storage system comprising a storage rack having a plurality of storage channels, at least one piece goods receiving device which can be moved along the storage rack in a first direction (x-direction), and a transport device which can be extended out from the piece goods receiving device in a second direction (z-direction) into the storage channel as well as a control unit for the piece goods receiving device and transport device, wherein the storage rack, in particular the storage channels, are configured to store piece goods of different dimensions in the storage channels one against the other in a tightly packed manner, wherein the control unit is configured to: - detect at least a width dimension of the piece goods in an electronic evaluation module, which width dimension extends transversely to the longitudinal extension of the storage channel when the piece good has been stored in the storage channel, - designate width classes and assign the piece goods to the respective width classes, - designate at least one storage channel from a number of storage channels and determine a storage depth for this storage channel, wherein only piece goods of a single width class are stored in this storage channel, - control a conveying system in order to convey the piece goods selectively according to width class to a pick-up station, - control the piece goods receiving device in order to position it in front of the pick-up station and, afterwards, to transfer to the piece goods receiving device those piece goods of this width class which should be stored in the designated storage channel, wherein the piece goods are lined up on the piece goods receiving device one against the other in a tightly packed manner to form a group of piece goods, - control the piece goods receiving device in order to position it in front of the designated storage channel and, afterwards, to move the group of piece goods by means of the transport device from the piece goods receiving device into the storage channel, in doing so the piece goods are moved simultaneously in a first direction of movement (storage direction 63) and in the depth direction of the storage channel to the degree that the lateral wall of the rearmost piece good in the direction of movement (storage direction 63) is substantially flush with an end edge of the storage channel, characterized in that the piece goods receiving device comprises a motorized conveyor device, the transport device and supporting means, wherein the motorized conveyor device, the transport device and the supporting means are mounted on a support frame, and wherein the supporting means are disposed in the opposing end regions of the motorized conveyor device and are each formed by a motorized conveyor device so that when the piece goods are being moved between the piece goods receiving device and storage channel, the piece goods can be supported on the supporting means and be supplied with a driving force, and wherein the motorized conveyor devices of the supporting means are each formed by a driven support roller. - detect at least a width dimension of the piece goods in an electronic evaluation module, which width dimension extends transversely to the longitudinal extension of the storage channel when the piece good has been stored in the storage channel, - designate width classes and assign the piece goods to the respective width classes, - designate at least one storage channel from a number of storage channels and determine a storage depth for this storage channel, wherein only piece goods of a single width class are stored in this storage channel, - control a conveying system in order to convey the piece goods selectively according to width class to a pick-up station, - control the piece goods receiving device in order to position it in front of the pick-up station and, afterwards, to transfer to the piece goods receiving device those piece goods of this width class which should be stored in the designated storage channel, wherein the piece goods are lined up on the piece goods receiving device one against the other in a tightly packed manner to form a group of piece goods, - control the piece goods receiving device in order to position it in front of the designated storage channel and, afterwards, to move the group of piece goods by means of the transport device from the piece goods receiving device into the storage channel, in doing so the piece goods are moved simultaneously in a first direction of movement (storage direction 63) and in the depth direction of the storage channel to the degree that the lateral wall of the rearmost piece good in the direction of movement (storage direction 63) is substantially flush with an end edge of the storage channel,