A rack storage system with at least two multi-level longitudinally extending storage racks separated by an aisle, and at least two load lifting devices for storage units. Guide tracks run in at least some of the rack levels along the aisle for storage and retrieval vehicles that transport storage units between the storage racks and load lifting devices, with the guide tracks arranged to extend along the aisle and past the load lifting devices to enable access to the storage racks and each load lifting device. The load lifting devices are arranged in a row in a longitudinal direction of a storage rack either within the storage rack itself or in an extension of the longitudinal extension of a storage rack and a conveyor is connected to the intermediate load lifting device by circumventing at least one lifting device by using free space of an adjacent aisle.