An installation for sorting postal parcels or packets, has a carousel sorting conveyor having transport bins that are moved around a closed loop over a plurality of sorting outlets formed by respective storage receptacles, a feed magazine in which bulk stored parcels are put into series and then injected into the transport bins of the conveyor while it is moving, and a monitoring and control unit that acts on the bins of the sorting conveyor so as to open each of them over a receptacle that corresponds to a delivery address of the article following a sorting plan, includes a first sorting pass to sort parcels into first receptacles that are of high bulk storage capacity, and a subsequent sorting pass where the parcels are sorted into second receptacles that are smaller than the first receptacles.