Abstract: A method of automatically depositing and withdrawing storage-goods carriers (2) in and from a storage rack (4, 4?) with the aid of transport vehicles (1) is improved according to the invention in that at least two storage-goods carriers (2) are stored each in a first and at least one other storage level (28) one upon the other on a transport vehicle (1), the transport vehicle (1) is driven near the storage rack (4, 4?) and positioned in a transfer position (U) at the storage rack (4, 4?), and subsequently the storage-goods carriers of the first and then of the at least one other storage level (28) are deposited in or withdrawn from the storage rack (4, 4?) in the transfer position (U), wherein a relative difference of level (?Y) between a working level (E) of a transfer device (3, 36, 36?) and the respective storage levels (28) of the storage-goods carriers (2) is automatically compensated for deposition and withdrawal.