The invention relates to a facility that includes a plurality of compartments, the volume of which is greater than 1000 cubic meters, and sealed separation means that are located between said compartments and can be covered by a sealed cover. Each compartment includes means for capturing the gas fraction resulting from the decomposition of the waste, and means for circulating the liquid fraction present from an accumulation zone to the top of the treated waste mass. The waste treatment method associated with the facility includes, for each compartment: an individual cycle starting with the filling phase, followed by the anaerobic digestion phase (together with capturing biogas materials for recovery), then ending with the phase for removing the remainder of the waste, thus making a new treatment cycle possible in the compartment in question. The entire unit is controlled in accordance with a sequence made up of the cycles from the various compartments, starting consecutively with a lag therebetween that is ca