Abstract: The present arrangement relates to a display a screen of a second device of an enriched content previously pushed by a computer server, in synchronism with the display of the content of a broadcast program reproduced by a first device. The method includes, the server pushing an item of information representative of the start (TREF) of the broadcasting of the program, then charged to the mobile device, via the execution of a specific software application, to begin listening to the audio band reproduced by the first device, to identify the program, by comparison with the audio signature received previously, to determine the instant (TC) of actual reproduction of the program by the first device, and to thus deduce therefrom the elapsed lag which must be taken into account so as to display the enriched content in a synchronized manner.