Abstract: A master cylinder having a body with a bore therein delimited by a piston into a work chamber and a supply chamber. The work chamber (16) is connected to wheel brakes, while the supply chamber is connected to a fluid supply, through a supply duct. The piston has a shank retained by a guide ring mounted in the bore and a head bears against a thrust ring in a rest position. A first end of the supply duct is connected to the fluid supply, while a end is connected to the supply chamber. A hydraulic damping arrangement that dampens movement of the piston toward the thrust ring and includes structure for shutting off the second end of the supply duct such that brake fluid flows at a reduced flow rate from the supply chamber to the supply duct through at least one exhaust duct.