Hydraulic braking device for a vehicle, comprising a master cylinder and a servo-device, wherein - a hydraulic piston of the master cylinder defines a pressure chamber which is adapted to contain a pressurized liquid and in which a control pressure is generated that is transmitted to one or more brake(s) of the vehicle; - a plunger of the servo-device defines a first chamber and a second chamber of the servo-device, said chambers being associated with communication means (44, 45, 46) adapted to establish, when the braking device is in a rest condition, a hydraulic communication between the first chamber and the second chamber and to interrupt said communication when the braking device is actuated; - a shuttle piston, connected to a thrusting rod associatable with a brake pedal, is mounted to be sealingly slidable in a plunging piston movably integral to the plunger of the servo-device, characterized in that it comprises - a hydraulic coupling connected in a movably integral manner to the thrusting rod and comprising an inlet aperture opening into an rear inner cavity of the hydraulic coupling and hydraulically connected to a solenoid valve, - a stem associated, on the side of a first end thereof, to the hydraulic coupling and having, on the side of its second end, the shape of a spherical tip; - a distributor block sealingly received within the plunging piston and adapted to abut against the shuttle piston, wherein the spherical tip of the stem is associated, in an articulated manner, to the distributor block, and wherein the rear inner cavity of the hydraulic coupling is in hydraulic communication with a through-channel formed within the stem, said through-channel being in turn in hydraulic communication with a driving duct formed in the distributor block, said driving duct opening into a region comprised between the distributor block and the shuttle piston. - a hydraulic piston of the master cylinder defines a pressure chamber which is adapted to contain a pressurized liquid and in which a control pressure is generated that is transmitted to one or more brake(s) of the vehicle; - a plunger of the servo-device defines a first chamber and a second chamber of the servo-device, said chambers being associated with communication means (44, 45, 46) adapted to establish, when the braking device is in a rest condition, a hydraulic communication between the first chamber and the second chamber and to interrupt said communication when the braking device is actuated; - a shuttle piston, connected to a thrusting rod associatable with a brake pedal, is mounted to be sealingly slidable in a plunging piston movably integral to the plunger of the servo-device, characterized in that it comprises - a hydraulic coupling connected in a movably integral manner to the thrusting rod and comprising an inlet aperture opening into an rear inner cavity of the hydraulic coupling and hydraulically connected to a solenoid valve, - a stem associated, on the side of a first end thereof, to the hydraulic coupling and having, on the side of its second end, the shape of a spherical tip; - a distributor block sealingly received within the plunging piston and adapted to abut against the shuttle piston,