A system for compacting rubbish, including a frame having a front wall, a carrier to be moved in a forwards-backwards direction relative to the frame, an upper scoop pivotably mounted on the carrier about a first horizontal axis and having an upper face for milling rubbish, and a lower scoop pivotably mounted on the upper scoop about a second horizontal axis, and having a lower milling face rubbish. The upper and lower scoops are to take a downwardly deployed position when their respective milling faces face the front wall. The carrier is to be moved forwards when the upper and lower scoops are in deployed position, in such a way as to compact the rubbish between the milling faces and the front wall. In the deployed position, a projection of the upper milling face in a transverse plane has a surface greater than or equal to a projection of the lower milling face in the transverse plane.