The gas-hydraulic shock absorber assembly comprises a sleeve member and a ram member movable relative to the sleeve member. In the interior of the ram member, a gas chamber is provided that is pressurized by means of a gas. In the interior of the sleeve member, an oil chamber is provided that is filled with a hydraulic medium and which decreases in volume the more the ram member is moved relative to the sleeve member. Between the two chambers, a gas-hydraulic control assembly is provided. Upstream of the control assembly, there is a bleeding assembly, comprising a transfer channel opening into a portion of the oil chamber remote from the control assembly. Further provided is a bleeding channel, opening into an upper portion of the oil chamber and connecting the transfer channel to the control assembly when the shock absorber assembly is at rest. The bleeding assembly comprises several channels connecting the oil chamber to the control assembly and comprising each a V-shaped valve flap to close the channels. Even if the ram member is moved slowly relative to the sleeve member, any gas collected in the oil chamber can escape through the transfer channel and/or the bleeding channel. At high relative moving velocities, the two legs of the valve flaps are moved towards each other such that the oil can flow through the channels of the bleeding assembly, whereby the collected gas can escape through the transfer channel and the bleeding channel.