Disclosed is a motor vehicle twin-tube damper comprising: a tube filled with a working liquid, a piston assembly disposed slidably inside the tube divides the tube into a rebound chamber and a compression chamber. A compensation chamber is located outside of the tube. A base valve assembly including a rebound valve assembly and a compression valve assembly controls the flow of the working liquid between the compensation chamber and the compression chamber. The rebound valve assembly includes a number of rebound flow channels covered by a main deflective disc. To suppress vibrations generated by the deflective disc due to pressure fluctuations occurring during rapid changes of the damper stroke direction, the rebound valve assembly includes an additional deflective disc disposed over the main deflective disc and separated from it by an annular gap with a thickness (G) that is less than the thickness of the main deflective disc.