A store for storing parcels has a main aisle and storage aisles arranged transversely to the main aisle and provided with storage places for the parcels. Beams arranged parallel to the main aisle and fastened to supports bear at least some of the weight forces acting in the storage aisles. A transport unit for transporting parcels is arranged in the main aisle. The transport unit has a first transport mechanism moving along the main aisle and a second transport mechanism that transfers parcels from the transport unit into a storage aisle, takes up parcels from a storage aisle and delivers them to the transport unit. The second transport mechanism has a slide movable transversely to the main aisle. The slide forms a rest for parcels during transfer and take-up. A tiltable platform that supports the slide is provided with a tilt mechanism that tilts the platform relative to the transport unit.