Abstract: A device for reducing the jitter caused by pointer adjustments in a digital telecommunication network comprising of a circuit inserting in the vicinity of each phase step caused by a pointer adjustment, a plurality of smoothing phase steps in accordance with a deterministic smoothing pattern in order to eliminate, after having passed through a conventional desynchronizer, the quantifying effects of the phase steps. Provision also is made, for the case in which each phase step caused by a pointer adjustment comprises a plurality of bits, in that a control circuit is present to resolve the step into a plurality of elementary steps and to control the insertion of these steps in a manner matched to the rate of occurrence of pointer adjustments. In particular, the device applies to networks based on Synchronous Digital Hierarchy.