Braking system for vehicles comprising - a pilot pump (8, 108, 110) provided with a manual actuation means, a lever and/or pedal, which is fluidically connected to a hydraulic actuator device (12, 112, 114), - wherein said hydraulic actuator device (12, 112, 114) is operatively connected to a braking device (16, 116, 118) associated with a wheel (5, 6) of said vehicle, - wherein the hydraulic actuator device (12, 112, 114) delimits a first and a second actuation chamber (20, 24) separated fluidically from a movable septum along an axial direction (X-X), - wherein the first actuation chamber delimits a first volume that contains fluid pressurised by the pilot pump (8, 108, 110) by means of the manual actuation means, - wherein the second actuation chamber delimits a second volume that contains pressurised fluid and is provided with a delivery duct fluidically connected to said braking device (16, 116, 118), - the hydraulic actuator device (12, 112, 114) comprises a by-pass, offset axially with respect to said delivery duct and fluidically connected with the latter, - the movable septum is connected to motor means (48, 148, 150) so as to translate axially, independently of the braking action imposed by the pilot pump (8, 108, 110) by means of the manual actuation means, - the system comprising a processing and control unit operatively connected with said motor means (48, 148, 150) and programmed so as to pass from a standard operating or deactivation condition of the motor means (48, 148, 150), in which the movable septum connects the first actuation chamber with the by-pass to the second actuation chamber and the delivery duct, to a braking correction condition in which the motor means (48, 148, 150) are activated to translate the movable septum so that the first actuation chamber is fluidically separated from the by-pass and the second actuation chamber, and in a manner such that the second actuation chamber is fluidically connected to the delivery duct to control the actuation of the braking device by means of the pressurised fluid contained in the second actuation chamber, wherein said movable septum is configured in such a way that the pressure in the first actuation chamber is always greater than, or equal to, the pressure in the second actuation chamber, characterised in that said movable septum comprises a lip gasket elastically deformable so as to ensure said pressure difference between the first and the second actuation chamber (20, 24), and in that the motor means (48, 148, 150) is connected to the movable septum from the side of the second volume. - a pilot pump (8, 108, 110) provided with a manual actuation means, a lever and/or pedal, which is fluidically connected to a hydraulic actuator device (12, 112, 114), - wherein said hydraulic actuator device (12, 112, 114) is operatively connected to a braking device (16, 116, 118) associated with a wheel (5, 6) of said vehicle, - wherein the hydraulic actuator device (12, 112, 114) delimits a first and a second actuation chamber (20, 24) separated fluidically from a movable septum along an axial direction (X-X), - wherein the first actuation chamber delimits a first volume that contains fluid pressurised by the pilot pump (8, 108, 110) by means of the manual actuation means, - wherein the second actuation chamber delimits a second volume that contains pressurised fluid and is provided with a delivery duct fluidically connected to said braking device (16, 116, 118), - the hydraulic actuator device (12, 112, 114) comprises a by-pass, offset axially with respect to said delivery duct and fluidically connected with the latter, - the movable septum is connected to motor means (48, 148, 150) so as to translate axially, independently of the braking action imposed by the pilot pump (8, 108, 110) by means of the manual actuation means, - the system comprising a processing and control unit operatively connected with said motor means (48, 148, 150) and programmed so as to pass from a standard operating or deactivation condition of the motor means (48, 148, 150), in which the movable septum connects the first actuation chamber with the by-pass to the second actuation chamber and the delivery duct, to a braking correction condition in which the motor means (48, 148, 150) are activated to translate the movable septum so that the first actuation chamber is fluidically separated from the by-pass and the second actuation chamber, and in a manner such that the second actuation chamber is fluidically connected to the delivery duct to control the actuation of the braking device by means of the pressurised fluid contained in the second actuation chamber,