The invention relates to assistance in the navigation of an aircraft in the cruising phase, particularly in an emergency rerouting situation. The invention relates to a method of assisting in the choice of rerouting airports for an aircraft having a position P and a speed V.: generating A first list LAC—1 of airport names Ai is generated. The first list LAC—1 has N airport names, with i being an index between 1 and N which uniquely identifies an airport that an organization operating the aircraft chooses as a relevant destination. A number m is determined which is a minimum between a predefined number M and the number N. M airport names are presented from the first list LAC—1 to an operator of the aircraft in a predefined order.