A method for checking the integrity of the estimation of the position of a mobile carrier, said position being established by a satellite positioning measurement system, said estimation being obtained by methods called "real-time kinematic" methods, said methods being based on the carrier phase measurements of the signals, called "GNSS" signals, originating from the satellites, said method verifying that a carrier phase measurement is consistent with a code pseudo-distance measurement, characterised in that said method comprises: - a first step (E1) of computing the initial position and time of the carrier, said first step being performed on the basis of the estimated pseudo-distances on the line of sight of the satellites, on the basis of the received time measurements carried by the spreader codes of the signals transmitted by the satellites; - a second step (E2) of verifying the integrity of the resolution of the initial position and time performed on the basis of the satellite pseudo-distances computed on the basis of a standard algorithm for monitoring satellite breakdowns of the "RAIM" type; - a third step (E3) of computing the speed of the carrier, at a plurality of observation instants, said third step being performed on the basis of the apparent Doppler measurements estimated on the line of sight of the satellites, on the basis of the carrier phase measurements of the satellite signals; - a fourth step (E4) of verifying that, at each of said observation instants, the short-term evolution of the carrier phase of the signals received on each of the satellite lines of sight is consistent with the speed computed in the preceding step; - a sixth step (E6, E7) of verifying that, at each of said observation instants, the filtered position obtained on the basis of the pseudo-distance measurements long-term filtered by the carrier phase is dependable. - a first step (E1) of computing the initial position and time of the carrier, said first step being performed on the basis of the estimated pseudo-distances on the line of sight of the satellites, on the basis of the received time measurements carried by the spreader codes of the signals transmitted by the satellites; - a second step (E2) of verifying the integrity of the resolution of the initial position and time performed on the basis of the satellite pseudo-distances computed on the basis of a standard algorithm for monitoring satellite breakdowns of the "RAIM" type; - a third step (E3) of computing the speed of the carrier, at a plurality of observation instants, said third step being performed on the basis of the apparent Doppler measurements estimated on the line of sight of the satellites, on the basis of the carrier phase measurements of the satellite signals; - a fourth step (E4) of verifying that, at each of said observation instants, the short-term evolution of the carrier phase of the signals received on each of the satellite lines of sight is consistent with the speed computed in the preceding step; - a sixth step (E6, E7) of verifying that, at each of said observation instants, the filtered position obtained on the basis of the pseudo-distance measurements long-term filtered by the carrier phase is dependable. <EOS>