A hydraulic damper for a vehicle, comprising: a main tube extending about and along an axis and having a first inner diameter and filed with working liquid; a first piston assembly disposed in said main tube and axially dividing said main tube into a rebound chamber and a primary compression chamber, and axially moveable in a compression stroke and a rebound stroke to generate a damping force; a hydraulic compression stop assembly disposed in said compression chamber, said hydraulic compression stop assembly including: a narrowed section disposed in said compression chamber of said main tube and extending between an open end and a closed end and having a second inner diameter being smaller than said first inner diameter of said main tube; a second piston assembly slideably disposed in said narrowed section and coupled with said first piston assembly for axially moving with said first piston assembly for generating an additional damping force during said compression stroke; said second piston assembly having a piston tube extending between an opened end and a shut end, with said shut end disposed opposite said closed end of said narrowed section; and a displaceable partition slideably disposed in said piston tube of said second piston assembly for providing an additional damping force during said compression stroke, said displaceable partition defining a first auxiliary compression chamber between said partition and said closed end of said narrowed section, and a second auxiliary compression chamber between said partition and said shut end of said piston tube, wherein said partition defines a pressure surface facing said closed end of said narrowed section providing sliding movement of said partition during a buildup of pressure in said first auxiliary compression chamber against said pressure surface, wherein a spring extends between said shut end of said second piston assembly and said partition to bias said partition toward said closed end of said narrowed section, or wherein the second auxiliary compression chamber is filed with gaseous medium under a predefined pressure, characterized in that said first and second auxiliary chambers (84, 85) are fluid tightly separated by said partition. a main tube extending about and along an axis and having a first inner diameter and filed with working liquid; a first piston assembly disposed in said main tube and axially dividing said main tube into a rebound chamber and a primary compression chamber, and axially moveable in a compression stroke and a rebound stroke to generate a damping force; a hydraulic compression stop assembly disposed in said compression chamber, said hydraulic compression stop assembly including: a narrowed section disposed in said compression chamber of said main tube and extending between an open end and a closed end and having a second inner diameter being smaller than said first inner diameter of said main tube; a second piston assembly slideably disposed in said narrowed section and coupled with said first piston assembly for axially moving with said first piston assembly for generating an additional damping force during said compression stroke; said second piston assembly having a piston tube extending between an opened end and a shut end, with said shut end disposed opposite said closed end of said narrowed section; and a displaceable partition slideably disposed in said piston tube of said second piston assembly for providing an additional damping force during said compression stroke, said displaceable partition defining a first auxiliary compression chamber between said partition and said closed end of said narrowed section, and a second auxiliary compression chamber between said partition and said shut end of said piston tube, a narrowed section disposed in said compression chamber of said main tube and extending between an open end and a closed end and having a second inner diameter being smaller than said first inner diameter of said main tube; a second piston assembly slideably disposed in said narrowed section and coupled with said first piston assembly for axially moving with said first piston assembly for generating an additional damping force during said compression stroke; said second piston assembly having a piston tube extending between an opened end and a shut end, with said shut end disposed opposite said closed end of said narrowed section; and a displaceable partition slideably disposed in said piston tube of said second piston assembly for providing an additional damping force during said compression stroke, said displaceable partition defining a first auxiliary compression chamber between said partition and said closed end of said narrowed section, and a second auxiliary compression chamber between said partition and said shut end of said piston tube, wherein said partition defines a pressure surface facing said closed end of said narrowed section providing sliding movement of said partition during a buildup of pressure in said first auxiliary compression chamber against said pressure surface, wherein a spring extends between said shut end of said second piston assembly and said partition to bias said partition toward said closed end of said narrowed section, or wherein the second auxiliary compression chamber is filed with gaseous medium under a predefined pressure, characterized in that said first and second auxiliary chambers (84, 85) are fluid tightly separated by said partition.