The invention relates to a method for integrity monitoring of a primary set of measurements obtained from navigation signals sent by satellites and provided to an integrity control device comprising a plurality of Kalman filters, the method comprising the steps definition, for each Kalman filter, of a secondary set of measurements contained in the primary set, calculation by each Kalman filter of a navigation solution from a respective secondary set of measurements, wherein definition of the secondary sets respects the following principles: each measurement contained in the primary set is present in at least one of the secondary sets, for each p-uplet of measurements of the primary set, p being a predetermined integer greater than 1, at least one of the secondary sets does not contain said p-uplet of measurements, for each secondary set, at least one of the p-uplets is excluded from said secondary set, the method further comprising the steps of: detection, for each navigation solution, of at most p faulty measurements not present in the secondary set from which the navigation solution is prepared, and signalling of at most p faulty satellites in the primary set from respective results of detections.