A device for lateral control of an aircraft includes a calculating unit for automatically applying, if conditions for turning of the aircraft are met, a symmetrical braking value at a brake assembly. Subsequently, in the course of the turn, the device automatically distributes this symmetrical braking value in differential braking between a braking device of the left main landing gear and a braking device of the right main landing gear of the aircraft. Distribution of the symmetrical breaking is performed as a function of current directional command orders in such a way as to maintain a constant overall braking level for, at least for directional command orders below a predetermined threshold.