A storage device including at least one storage container provided with a container housing, which has a housing lower part and a housing cover swivellably mounted on the housing lower part in the region of the rear side. On the underside of its two lateral cover edge sections, the housing cover has a respective centring strip projecting downwards, wherein these centring strips protrude into the housing lower part when closing the housing cover in such a way that, via transverse support occurring relative to the housing lower part, they ensure that the housing cover is guided into a closed position that is centred relative to the housing lower part.