Method of lateral control of a taxiing aircraft, said aircraft being equipped with an orientable nose wheel provided with an orientation system, characterized in that, in the event of breakdown of the nose wheel orientation system, said method implements emergency automatic asymmetrical braking, comprising at least the steps of: a) receiving command orders relating to the command of the orientation of said nose wheel; b) on the basis of said command orders, automatically determining braking orders for a brake assembly of the aircraft, which comprises braking means for at least one left main landing gear and braking means for at least one right main landing gear and which is capable of generating a lateral movement of the aircraft about a vertical axis by means of an asymmetrical action, said braking orders being determined in such a way as to generate on the aircraft, when they are applied to the brake assembly, a lateral movement which is substantially identical to the lateral movement which would have been generated by the application of said command orders to said nose wheel; and c) automatically applying said braking orders to said brake assembly, characterized in that it also comprises sub-steps of the step b) consisting of: b1) automatically verifying, in the event of activation of the emergency automatic asymmetrical braking, whether conditions for turning of the aircraft are met; and b2) if these conditions for turning of the aircraft are met and so long as they are, automatically applying a braking value, known as a symmetrical braking value, at said brake assembly, then in the course of the turn automatically distributing this symmetrical braking value in differential braking between the braking means of the left main landing gear and the braking means of the right main landing gear, as a function of current directional command orders, in such a way as to maintain a constant overall braking level, at least for directional command orders below a predetermined threshold. a) receiving command orders relating to the command of the orientation of said nose wheel; b) on the basis of said command orders, automatically determining braking orders for a brake assembly of the aircraft, which comprises braking means for at least one left main landing gear and braking means for at least one right main landing gear and which is capable of generating a lateral movement of the aircraft about a vertical axis by means of an asymmetrical action, said braking orders being determined in such a way as to generate on the aircraft, when they are applied to the brake assembly, a lateral movement which is substantially identical to the lateral movement which would have been generated by the application of said command orders to said nose wheel; and c) automatically applying said braking orders to said brake assembly, b1) automatically verifying, in the event of activation of the emergency automatic asymmetrical braking, whether conditions for turning of the aircraft are met; and b2) if these conditions for turning of the aircraft are met and so long as they are, automatically applying a braking value, known as a symmetrical braking value, at said brake assembly, then in the course of the turn automatically distributing this symmetrical braking value in differential braking between the braking means of the left main landing gear and the braking means of the right main landing gear, as a function of current directional command orders, in such a way as to maintain a constant overall braking level, at least for directional command orders below a predetermined threshold.