The hydraulic shock-absorber comprises a hydraulic stop member having a cup-shaped body, which is adapted to be mounted in a compression chamber, and a plunger, mounted at an end of a rod of the shock-absorber so as to slide in the cup-shaped body when the shock-absorber moves towards the compression end-of-travel position. The cup-shaped body comprises a side wall and a bottom wall which define, along with the plunger, a working chamber in which a damping fluid of the shock-absorber is compressed by the plunger when the latter slides in the working chamber towards the bottom wall of the body. Axial channels are formed on the inner surface of the side wall of the body and allow the damping fluid to flow axially out of the working chamber when the plunger slides in the working chamber towards the bottom wall of the cup-shaped body. The axial channels extend parallel to a longitudinal axis (z) of the cup-shaped body and have a cross-section whose area decreases continuously along this axis (z) towards the bottom wall of the cup-shaped body.