Arrangement of bags under the luggage compartment cover of a motor vehicle

The system, comprising one or more containers (S1, S2, S3) located beneath a panel (24) with openings (O1, O2, O3) and hinged lids (V1, V2, V3), has fastenings on the open upper ends of the containers to engage with the underside of the panel and allow the containers to be removed at will. Each fastening comprises a rigid frame (50) surrounding each container's open end and equipped with lateral edges (52, 54) that fit into sliders underneath the panel and move until they reach transverse stops.