A system for storing and picking storage units including a rack arrangement having a plurality of racks, a plurality of rack-bound vehicles adapted to travel in a rack aisle for storing and retrieving the storage units into and from the storage locations in a transversal direction, wherein a rack-integrated lifter includes a load-handling device for transferring storage units between a rack-integrated handing-over location and at least one rack-integrated buffer location arranged only vertically beneath, or only vertically above, the handing-over location and at a transferring device for exchanging storage units between a feeding/discharging conveyor and the handing-over location.