A communication process between two constitutive elements of the network of electricity distribution in a domestic or industrial premise including circuit breakers, electrical modules, switches, electrical plugs and light connection devices. The process including the following steps: assignment by a protocol such as DHCP, BootP or RARP of a first IP address to a first element of the power distribution network, assignment of a second IP address to a second element, and establishment of a communication between the first and second elements of the power distribution network.