A method for preventing vibration of a rudder of an aircraft may have, on a lateral aerodynamic surface of the aircraft's rudder, a protruding aerodynamic element capable of generating an aerodynamic effect tending to rotate the rudder about its articulation axis. An actuator of the rudder is controlled such that it counters the action of the protruding aerodynamic element and such that it imposes on the rudder a position of equilibrium in aerodynamic extension of the fixed vertical stabilizer.