Braking system for vehicles comprising - a first brake group , a second brake group and a third brake group , - each brake group 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 for said brake groups , - 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 being independent and galvanically isolated from each other, - each control unit being programmed to implement, via the corresponding piloting system , a standard braking strategy in case of absence of malfunctions for each brake group and a fault braking strategy, if it detects an electrical fault of one or more of the brake groups , 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 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 for said brake groups , - 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 being independent and galvanically isolated from each other, - each control unit being programmed to implement, via the corresponding piloting system , a standard braking strategy in case of absence of malfunctions for each brake group and a fault braking strategy, if it detects an electrical fault of one or more of the brake groups , 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. <EOS>