A process of controlling an industrial robot includes the steps of calculating, in a calculation module, a control articular force setpoint of the axis controller module; calculating, in an articular converter, the articular conversion matrix from articular positions; providing the axis controller module with the multi-dimensional external forces exerted on the effector; calculating, in the axis controller module, the vector of the articular forces; calculating, in the axis controller module, the current loop control setpoints, taking into account the articular force vector and the articular force setpoint; and calculating, in the axis controller module, the control setpoints for the power units according to the control setpoints for the current loops.