A system and a method for time synchronization on a wireless network, based on the exchange of Chirp Spread Spectrum information. Time signals are broadcast from a master (40) to a plurality of slave devices (101, 102, 103). The modulation used includes a compensation of offsets in the master's system clock by symbol-wide frequency shifts that is particularly precise, fine and simple to implement. The system and method of the invention are particularly suitable for synchronizing a telecommunication cell network.