PCT No. PCT/DE96/00917 Sec. 371 Date Feb. 23, 1998 Sec. 102(e) Date Feb. 23, 1998 PCT Filed May 25, 1996 PCT Pub. No. WO97/02971 PCT Pub. Date Jan. 30, 1997The vibration damper has a sleevelike shaped part comprising an elastomer as a diaphragm. The shaped part is received tightly on the opening end of a bore of a housing and surrounds an extension of a support body disposed in the bore. Provided on a side face of the extension is a groove, which communicates with a chamber in the extension. The shaped part, which on its outside is exposed to the brake fluid, with the inside of its jacket wall defines a hollow chamber, formed toward the extension of the support body and having atmospheric pressure. The vibration damper can be used in a slip-controlled hydraulic brake systems of motor vehicles.