A display method comprises a step during which an aircraft flight management computer sends display instructions to a display management system, to control the display of an aircraft flight plan window. The display method also comprises steps comprising acquiring a reference point and a vertical flight profile of the aircraft comprising the reference point, and computing, using the vertical flight profile, an altitude of the reference point. It also comprises steps comprising acquiring an information item relating to a flight phase associated with the reference point, acquiring an information item relating to a selected display range, determining a vertical centering coefficient of a display window relating to the vertical flight profile, as a function of the flight phase and transmitting, to the display management system, instructions for displaying the display window as a function of the altitude of the reference point and of the centering coefficient of the display window.