The process uses the technique of carrier currents between the emitter-receivers (2, 3 . .) called slaves comprising each a microcontroller (4, 5 . .), and a master controller (6) comprising a microcontroller (7) whose memory contains addresses relating to the slaves and to the dwelling. According to the invention, during connection of a slave to the network there is activated the master controller (6) by typing a number on the programming keyboard of the master controller (6), one pushes a pushbutton (13) so as to trigger a subprogram (14) for production of a message (M1) containing the following information: general distribution; request for address allocation; slave address, there is sent (15) the message. One awaits (16) a second message (M2) from the master controller, then during reception of the second message M2, the applicant slave sends to the master controller (6) an acknowledgement AS comprising information on the allocation of the slave, this information being transmitted to the user by means of a display.