Braking system for vehicles comprising - a first brake group, a second brake group and a third brake group, - each brake group (8, 12, 16) comprising a rotor, a braking device associated with said rotor, and an electro-hydraulic or electromechanical actuator of each braking device, - a first and a second control unit (32,36) for said brake groups (8,12,16), - wherein the first control unit is operatively connected to the first brake group by means of a piloting device for said electromechanical or electro-hydraulic actuator of the first brake group, - wherein the second control unit is operatively connected to the second brake group by means of a piloting device for said electromechanical or electro-hydraulic actuator of the second brake group, and is connected to the third brake group by means of a piloting device for the electromechanical or electro-hydraulic actuator of the third brake group, - wherein the first control unit is connected to and powered by a first power source, and wherein the second control unit is connected to and powered by a second power source, said first and second power sources (44,48) being independent and galvanically isolated from each other, - each control unit (32,36) being programmed to implement, via the corresponding piloting system, a standard braking strategy in case of absence of malfunctions for each brake group (8, 12, 16) and a fault braking strategy, if it detects an electrical fault of one or more of the brake groups (8, 12, 16), wherein the first control unit is operatively connected to the first brake group, the second brake group and the third brake group by means of three relative piloting devices, wherein the second control unit is operatively connected to the first brake group, the second brake group and the third brake group by means of three relative piloting devices, said piloting devices being independent of each other, wherein said first brake group, second brake group and third brake group are associated with wheels arranged on different axles of the vehicle. - a first brake group, a second brake group and a third brake group, - each brake group (8, 12, 16) comprising a rotor, a braking device associated with said rotor, and an electro-hydraulic or electromechanical actuator of each braking device, - a first and a second control unit (32,36) for said brake groups (8,12,16), - wherein the first control unit is operatively connected to the first brake group by means of a piloting device for said electromechanical or electro-hydraulic actuator of the first brake group, - wherein the second control unit is operatively connected to the second brake group by means of a piloting device for said electromechanical or electro-hydraulic actuator of the second brake group, and is connected to the third brake group by means of a piloting device for the electromechanical or electro-hydraulic actuator of the third brake group, - wherein the first control unit is connected to and powered by a first power source, and wherein the second control unit is connected to and powered by a second power source, said first and second power sources (44,48) being independent and galvanically isolated from each other, - each control unit (32,36) being programmed to implement, via the corresponding piloting system, a standard braking strategy in case of absence of malfunctions for each brake group (8, 12, 16) and a fault braking strategy, if it detects an electrical fault of one or more of the brake groups (8, 12, 16), wherein the first control unit is operatively connected to the first brake group, the second brake group and the third brake group by means of three relative piloting devices, wherein the second control unit is operatively connected to the first brake group, the second brake group and the third brake group by means of three relative piloting devices, said piloting devices being independent of each other, wherein said first brake group, second brake group and third brake group are associated with wheels arranged on different axles of the vehicle.