A method for transmitting a broadcasting message by an access network intended for a group of terminals. The terminals are configured to recurrently and asynchronously transmit polling messages intended for the access network. An instant for transmitting the broadcasting message is determined on the basis of information relating to the recurrence of the polling messages transmitted by the terminals of the group. Before transmitting the broadcasting message and for each polling message received from a terminal of the group, a response message including one or more parameters relating to the transmission of the broadcasting message is transmitted. The response message needs to be received by the terminal during a listening window with a predetermined duration following the transmission of the polling message. The broadcasting message is transmitted over the broadcasting channel at the determined transmission instant.