A point-to-multipoint or multipoint-to-multipoint communications network includes remote traffic stations connected to a management center (CG) by radio links sharing resources. The management center (CG) includes a management module for determining a primary distribution of the resources, including assignment margins, between the radio links that it manages and previously set up between the traffic stations, as a function of first information data representing rates of occupancy per traffic type of the resources previously assigned to the radio links. Each traffic station can then determine a secondary distribution between its traffic types of the resources assigned to its radio link as a result of the primary distribution, taking account of its own rates of occupancy per traffic type.