Abstract: A method and device is described for the numeric control of buffer and phase-locked loop for the recovery of the synchronism and the optimized management over communication networks having a high jitter like, e.g., networks in which the ATM mode (Asynchronous Transfer Mode), is used. The innovation resides in the buffer management which is carried out according to the input phase statistic characteristics (in part known a priori and in part measured by the system) as well as to its measured value (which is equivalent to the buffer filling level) thus introducing the concept of statistic pointers. This allows an optimal management thereof and also permits to control the buffer overflow and underflow probabilities. Moreover, by associating the present device with another phase locked device, it is possible to obtain a high frequency stability of the reconstructed sync signal, attenuating at a large extent the jitter introduced by the network, even at a very low frequency.