A method to maneuver an aircraft in flight, in which the center of gravity of the aircraft is shifted by transferring fuel from at least one first fuel tank to at least one second fuel tank of the aircraft. A system implementing this method, the system including: at least one first fuel tank and at least one second fuel tank, a flight control unit capable of sending out a maneuver command upon being handled. A computer capable, as a function of this command, of determining a quantity of fuel to be transferred from the first tank to the second tank, at least one means of transfer connecting the first and second tanks and being controlled by the computer, to transfer the fuel from the first tank to the second tank.