The general field of the invention is that of the graphical representation of a synthetic three-dimensional view of the exterior landscape in an on-board visualization system for aircraft, said graphical representation being displayed on a visualization screen comprising the piloting and navigation information of said aircraft superposed onto said three-dimensional synthetic representation of the exterior landscape, said synthetic representation being computed up to a first determined distance, characterized in that said three-dimensional synthetic representation is tilted at a tilt angle about an axis positioned at the level of the terrain in a substantially horizontal plane, and substantially perpendicularly to an axis between the flight direction and the heading of the aircraft, said axis moving with the aircraft.