A hydraulic damper for a vehicle including a main tube. A first piston assembly is slideably disposed in the main tube and axially divides the main tube into a rebound chamber and a primary compression chamber. A hydraulic compression stop assembly is disposed in the primary compression chamber and includes a narrowed section extending between an open end and a closed end. A second piston assembly is slideably disposed in the narrowed section and is coupled with the first piston assembly. The second piston assembly has a piston tube that extends between an opened end and a shut end. A displaceable partition is slideably disposed in the piston tube. A first auxiliary compression chamber is defined between the partition and the closed end of the narrowed section. A second auxiliary compression chamber is defined between the partition and the shut end of the piston tube.