The present invention provides a hydraulic shock absorber. A solid main piston is designed to slide in a damping cylinder parallel to the movement generated when the shock absorber is subjected to a compression or a rebound stroke, the main piston dividing the damping cylinder into a first damping chamber containing the piston rod and a second damping chamber which does not contain the piston rod. A pressurization reservoir is pressurized by a force acting on a moving piston. The pressurization reservoir is arranged outside the damping cylinder and oriented at an angle relative to the damping cylinder. Two separate, adjustable valves generate a damping force acting in opposition to the stroke movement by restricting a damping medium flow between the damping chambers. A fourth defined chamber is hydraulically connected via separate flow paths to both the first and the second damping chamber and the pressurization reservoir.