A method and device for calculating a safe path from a current position (P1) of an aircraft to an attachment point (P2) over a terrain. The current position (P1) of the aircraft is determined, and then the attachment point (P2) is defined. At least one attachment path connects he current position (P1) to the attachment point (P2) in safe manner over the terrain. The attachment path may be subdivided into a plurality of tracks (31-39). Each track (31-39) is situated at a safe altitude that is higher than the highest point of the terrain being overflown. In addition, the attachment path may be a return path defined by passage points (S1-S8) of the aircraft.