A method of graphical manipulation of the trajectory of an aircraft comprises the steps of receiving an indication of a deformation point associated with the trajectory of the aircraft; determining a zone of local modification of the trajectory of the aircraft as a function of the deformation point; computing a modified trajectory and graphically restoring the modified trajectory. A parameter associated with the indication of the deformation point, notably a speed and/or acceleration value (for example of the contact point on the touch-sensitive interface, or else of a cursor), is received or determined. A modified trajectory is computed by selecting a computation algorithm from among a plurality of faster or slower predefined algorithms; the selection being performed as a function of the parameter. Various other developments are described (configurable selection, trajectory modification bounds, processing of an arbitrary deformation point, i.e. one other than a point of the flight plan, etc.).