Abstract: The compensator consists of at least one flexible and preferably elastic braiding (8), fitted up outside onto the cylinder (1) of the shock absorber, seal-fastened with its own ends onto said cylinder by means of suitable fastening means (19, 10) and carried out in such a way as to contain a chamber with variable volume (C) occupied by oil and communicating with at least one of the inside chambers of the shock absorber, for instance with the chamber with the larger volume, by means of holes provided on said cylinder.