A hydraulic damper, comprising: a main tube filed with working liquid and extending along an axis between an open end and a closed end; a piston assembly slidably disposed inside the main tube, attached to a piston rod that extends outside the hydraulic damper through a sealed piston rod guide located at the open end, dividing the main tube into a rebound chamber and a compression chamber and configured to generate a damping force; a base valve assembly located at the closed end of the compression chamber and configured to control a flow of the working liquid between the compression chamber and a compensation chamber; and at least one compression stop assembly (8p, 8b) cooperating with a compression valve assembly (41, 91) and comprising a pin disposed slidably within the piston rod and biased to project an activating tip towards the compression chamber to increase damping of said compression valve assembly (41, 91) upon sliding inside the piston rod and to generate an additional damping force with said piston assembly at an end of a compression stroke; wherein said compression valve assembly (41, 91) comprises: at least one deflectable or floating disc (412, 912) covering compression flow passages (413, 913) and biased by a piston member (414, 914) slidable along said axis and abutting a retaining surface (415, 915), and a pressure chamber (416, 916) having one surface defined by a surface of said piston member (414, 914) abutting said retaining surface (415, 915); and wherein said pin, upon sliding inside the piston rod, facilitates a flow of the working liquid from the compression chamber into said pressure chamber (416, 916) to generate a pressure on said surface of said piston member (414, 914) to increase a biasing load on said at least one deflectable or floating disc (412, 912). a main tube filed with working liquid and extending along an axis between an open end and a closed end; a piston assembly slidably disposed inside the main tube, attached to a piston rod that extends outside the hydraulic damper through a sealed piston rod guide located at the open end, dividing the main tube into a rebound chamber and a compression chamber and configured to generate a damping force; a base valve assembly located at the closed end of the compression chamber and configured to control a flow of the working liquid between the compression chamber and a compensation chamber; and at least one compression stop assembly (8p, 8b) cooperating with a compression valve assembly (41, 91) and comprising a pin disposed slidably within the piston rod and biased to project an activating tip towards the compression chamber to increase damping of said compression valve assembly (41, 91) upon sliding inside the piston rod and to generate an additional damping force with said piston assembly at an end of a compression stroke; wherein said compression valve assembly (41, 91) comprises: at least one deflectable or floating disc (412, 912) covering compression flow passages (413, 913) and biased by a piston member (414, 914) slidable along said axis and abutting a retaining surface (415, 915), and a pressure chamber (416, 916) having one surface defined by a surface of said piston member (414, 914) abutting said retaining surface (415, 915); and wherein said pin, upon sliding inside the piston rod, facilitates a flow of the working liquid from the compression chamber into said pressure chamber (416, 916) to generate a pressure on said surface of said piston member (414, 914) to increase a biasing load on said at least one deflectable or floating disc (412, 912). at least one deflectable or floating disc (412, 912) covering compression flow passages (413, 913) and biased by a piston member (414, 914) slidable along said axis and abutting a retaining surface (415, 915), and a pressure chamber (416, 916) having one surface defined by a surface of said piston member (414, 914) abutting said retaining surface (415, 915); and wherein said pin, upon sliding inside the piston rod, facilitates a flow of the working liquid from the compression chamber into said pressure chamber (416, 916) to generate a pressure on said surface of said piston member (414, 914) to increase a biasing load on said at least one deflectable or floating disc (412, 912).