The method of determination of the position of a mobile receiver using at least four satellites of which at least one first satellite transmits a first signal on one frequency, the broadcasting of the first signal being single-frequency, and of which at least one second satellite transmits second and third signals respectively on a first and a second frequency, the broadcasting of the signals being two-frequency, the receiver including means for reception of at least two frequencies, makes it possible to determine the position by a calculation of at least four pseudo-distances corresponding to the distances between each satellite and the receiver. The calculation of a pseudo-distance at the first frequency includes a step of estimation of the inter-frequency bias between the first and second frequencies.