An aircraft electromechanical braking system comprising a braking control unit 10 and at least one electromechanical brake 1, the brake 1 being fitted with at least one electromechanical actuator 4 having a pusher 6 suitable for being moved by means of an electric motor 7. The actuator 4 also has a blocking member 8 for blocking the pusher 6 in position. The control unit 10 is adapted to cause the braking system to operate in an additional braking mode referred to as “combined” mode, in which the motor 7 is activated to bring the pusher 6 into a position in which it exerts a given holding force, and then the blocking member 8 is activated, while activation of the motor 7 is maintained.