The invention has in particular as an object the synchronization of a local clock of an equipment item in a communication network according to synchronization frames emitted by a reference equipment item and transmitted via a switch. After it has received (700) a synchronization frame emitted by the reference equipment item and including its time point of emission, the switch transmits (730) the said received synchronization frame after a delay that is fixed, at least on average, counting from the reception of the said synchronization frame by the said switch (725). The local clock of the equipment item, after reception of the said synchronization frame by the equipment item, is synchronized according to the said time point of emission, to the time point of reception of the said synchronization frame and to the said delay.