A system for excluding a faulty satellite measurement in a satellite positioning system, said system comprising: • a plurality N of first hybridisation filters (PFH 1,...PFH N) each receiving at least one satellite positioning measurement carried out on the signals received by all of the satellites within the visibility of said system, with the exception of one satellite, which is different for each first different hybridisation filter, and one inertial positioning measurement, and delivering a corrected positioning measurement, called hybrid measurement (MH P1,..MH PN); • a detection module able to deliver a detection instant of a fault of at least one satellite positioning measurement; • a module for excluding a faulty satellite positioning measurement, said system being characterised in that: • it comprises a plurality M of second hybridisation filters (SFH 1,...SFH M) each receiving at least one satellite positioning measurement carried out on the signals received by all of the satellites within the visibility of said system and one inertial positioning measurement, and delivering a corrected positioning measurement, called hybrid measurement (MH S1,..MH SM), the second hybridisation filters being updated, at a constant temporal rhythm, successively at periodically shifted temporal instants; • the exclusion module is configured to: ∘ select the oldest hybrid measurement, relative to the detection instant of a fault, among the M up-to-date hybrid measurements (MH S1,..MH SM) delivered by the M second hybridisation filters; ∘ compare the selected hybrid measurement, called reference hybrid measurement (MH REF), to each of the hybrid measurements (MH P1,..MH PN) delivered by the N first hybridisation filters; ∘ deduce therefrom the identification of the faulty measurement. • a plurality N of first hybridisation filters (PFH 1,...PFH N) each receiving at least one satellite positioning measurement carried out on the signals received by all of the satellites within the visibility of said system, with the exception of one satellite, which is different for each first different hybridisation filter, and one inertial positioning measurement, and delivering a corrected positioning measurement, called hybrid measurement (MH P1,..MH PN); • a detection module able to deliver a detection instant of a fault of at least one satellite positioning measurement; • a module for excluding a faulty satellite positioning measurement, said system being characterised in that: • it comprises a plurality M of second hybridisation filters (SFH 1,...SFH M) each receiving at least one satellite positioning measurement carried out on the signals received by all of the satellites within the visibility of said system and one inertial positioning measurement, and delivering a corrected positioning measurement, called hybrid measurement (MH S1,..MH SM), the second hybridisation filters being updated, at a constant temporal rhythm, successively at periodically shifted temporal instants; • the exclusion module is configured to: ∘ select the oldest hybrid measurement, relative to the detection instant of a fault, among the M up-to-date hybrid measurements (MH S1,..MH SM) delivered by the M second hybridisation filters; ∘ compare the selected hybrid measurement, called reference hybrid measurement (MH REF), to each of the hybrid measurements (MH P1,..MH PN) delivered by the N first hybridisation filters; ∘ deduce therefrom the identification of the faulty measurement. ∘ select the oldest hybrid measurement, relative to the detection instant of a fault, among the M up-to-date hybrid measurements (MH S1,..MH SM) delivered by the M second hybridisation filters; ∘ compare the selected hybrid measurement, called reference hybrid measurement (MH REF), to each of the hybrid measurements (MH P1,..MH PN) delivered by the N first hybridisation filters; ∘ deduce therefrom the identification of the faulty measurement.