A communication method is implemented in an on-board network between a master station (M) and a plurality of slave stations (S1, S2, S3, S4), of the type of those compatible with the standard Local Interconnect Network (LIN) protocol in which data frames are sent by the slave stations on a serial bus in response to the sending by the master station of identifiers representative of the required content of the frames. All or part of each of the specific data frames attached to the same predetermined identifier is formed sequentially by each of the slave stations. This enables an optimisation of the load on a LIN network, thus enabling use of this economical standard for all “passenger compartment functions”, and in particular for the management of AFS type advanced lighting systems.