A method for filtering anti-collision alarms for aircraft, the said aircraft comprising means for calculating its speed and extrapolated positions on its trajectory, the said extrapolated positions being calculated over a fixed maximum time period, called extrapolation time, and a topographical database of the terrain, the said database comprising, within a given perimeter, data on the density of obstacles, comprises a calculation of a weighting coefficient for the extrapolation time of the calculated extrapolated trajectories of the aircraft as a function of the density of obstacles within a surface area included within the perimeter.