Abstract: A method of determining the position of a transmitting beacon transmitting a signal to certain satellites in a constellation of satellites, which satellites in turn retransmit retransmitted signals to at least one detection ground station, wherein each of said ground stations is provided with at least one antenna whose directional characteristics do not make it possible to identify which satellite retransmitted any given retransmitted signal, and wherein the method implements the following steps: a) computing position for all combinations associating signals with satellites that might correspond to retransmission of transmitted signals; b) computing the position of the beacon for at least some of the satellite combinations, using the least squares method; and c) determining the combination which presents the smallest computation residue by the least squares method, the position of the transmitting beacon corresponding to this combination then being considered to be the position of the transmitting beacon.