The invention provides an electric braking system for a road vehicle equipped with wheels (1) having all-electric control, these wheels each being rotationally connected to at least one rotating electric machine (2) specific thereto, an electronic wheel control module (23) which controls the electric machine or machines of one and the same wheel, each electronic wheel control module making it possible to selectively impose on the wheel in question a defined control torque in terms of amplitude and sign, such that the wheel in question imposes on the vehicle a driving force or a braking force according to said defined control torque, the system comprising a central processing unit (3) which manages the movement of the vehicle, said central processing unit (3) controlling all the electronic wheel control modules (23),; said central processing unit having a vehicle braking operating mode activated by a vehicle braking control signal having a given amplitude representative of the total braking force desired for said wheels having all-electric control, wherein, in the braking mode, whatever the amplitude of the braking control signal, said central processing unit controls all the electronic wheel control modules such that the sum of the longitudinal forces of all the wheels is a function of said amplitude of the braking control signal, which function is, for example, proportional in the simplest implementation.