Braking system for vehicles comprising - a pilot pump equipped with a manual actuation means , a lever and/or pedal, which is fluidically connected, through a first hydraulic conduit , to a sorbing device that simulates the actuation resistance offered by a hydraulically operated braking device , wherein along said first hydraulic conduit is arranged a first shut-off valve , - a second hydraulic conduit operatively connected to at least one braking device associated with a wheel of said vehicle, said second hydraulic conduit being connected to the first hydraulic conduit through a second shut-off valve , - the system comprising a processing and control unit operatively connected to the pilot pump and motor means for actuating said at least one braking device , the processing and control unit being programmed so as to actuate the braking device via the motor means as a function of the actuation of the pilot pump through the manual actuation means , in a "by-wire" operating condition, - in said "by-wire" operating condition, the first shut-off valve being selectively opened and the second shut-off valve being closed, characterised in that the processing and control unit is programmed to oversee the operation of the braking system so as to correct the braking action requested by the user via the manual actuation means , by actuating the motors means so as to avoid the locking of one or more wheels or the onset of instability of the vehicle during braking, said processing and control unit being programmed to induce on the manual actuation means at least a vibration when it corrects the braking action requested by the user, wherein the processing and control unit is programmed so that, during the correction of the braking action requested by the user, it alternately opens and closes the first shut-off valve so as to create a pressure variation on the manual actuation means , wherein the system comprises means for varying the pressure in the first hydraulic conduit operatively connected to the processing and control unit so as to change the pressure in said first hydraulic conduit to induce at least a vibration on the manual actuation means , during the correction of the braking action requested by the user, wherein said means for varying the pressure in the first hydraulic conduit comprise an axial or radial piston pump fluidically connected with said first hydraulic conduit . - a pilot pump equipped with a manual actuation means , a lever and/or pedal, which is fluidically connected, through a first hydraulic conduit , to a sorbing device that simulates the actuation resistance offered by a hydraulically operated braking device , wherein along said first hydraulic conduit is arranged a first shut-off valve , - a second hydraulic conduit operatively connected to at least one braking device associated with a wheel of said vehicle, said second hydraulic conduit being connected to the first hydraulic conduit through a second shut-off valve , - the system comprising a processing and control unit operatively connected to the pilot pump and motor means for actuating said at least one braking device , the processing and control unit being programmed so as to actuate the braking device via the motor means as a function of the actuation of the pilot pump through the manual actuation means , in a "by-wire" operating condition, - in said "by-wire" operating condition, the first shut-off valve being selectively opened and the second shut-off valve being closed, <EOS>