A method of flight management of an aircraft aimed at reaching a constrained point on a predetermined lateral trajectory assumed to be followed by the aircraft, at a required time of arrival RTA to within an absolute tolerance. The method including calculating a flight plan to be followed and a homing flight plan and when the estimated time of arrival ETA based on the homing flight plan strays from an absolute tolerance with respect to the calculation required time of arrival RTAc, calculating a new calculation required time of arrival NRTAc dependent on the calculation required time of arrival RTAc and a function f of the difference between the calculation required time of arrival RTAc and the estimated time of arrival ETA, and replacing the calculation required time of arrival RTAc with the new calculation required time of arrival NRTAc, before recalculating a flight plan to be followed.