Abstract: The apparatus includes a controlled deposition region constituted by a pit lined with an impermeable lining of heat-weldable polymeric material. Partitioning sheets made of polymeric material which are perimetrically welded to the lining, separate, in the pit, a plurality of superimposed sealed compartments in which the shredded waste is fed by means of a feed hose which can be switched to a vacuum source in order to compact the shredded waste fed into the compartment.