A long integration detection method implemented by a radar system for detecting targets, the radar system being able to deliver measurements along at least one coordinate, said method using, as input, a plurality of detections resulting from a plurality of N successive sweeps of a same space by the radar system, and identifying, among said plurality of detections, the detections associated with a same target by applying a kinematic filtering criterion based on a kinematic movement model according to which the targets have a uniform rectilinear movement, characterized in that said method is implemented upon each new detection, called pivot detection (piv), and includes the steps consisting of: - grouping together, with the pivot detection (piv), a plurality of grouped detections (det_i) among the plurality of detections, a grouped detection being a detection that belongs to one of the N-1 sweeps preceding the sweep N of the pivot detection and which has a non-nil likelihood according to a grouping criterion associating the pivot detection and the considered detection; - kinematically filtering the grouped detections (det_i) in order to associate the grouped detections that are strictly kinematically coherent with the pivot detection, by: - Initializing a histogram, each dimension of the histogram being a temporal variation of a corresponding coordinate measured by the radar system; - Calculating an interval of potential values for the or each coordinate of the pivot detection; then, for each grouped detection, by: - Calculating an interval of potential values for the or each coordinate of the considered grouped detection; - Calculating a minimal temporal variation and a maximal temporal variation from intervals of potential values of the pivot detection and the considered grouped detection for the or each coordinate measured by radar systems; - Incrementing each class of the histogram whose index along each dimension is located between the calculated minimal and maximal temporal variations; and - Testing a kinematic coherence criterion according to which a target is detected once at least one class of the histogram reaches a predefined value (K-1). - grouping together, with the pivot detection (piv), a plurality of grouped detections (det_i) among the plurality of detections, a grouped detection being a detection that belongs to one of the N-1 sweeps preceding the sweep N of the pivot detection and which has a non-nil likelihood according to a grouping criterion associating the pivot detection and the considered detection; - kinematically filtering the grouped detections (det_i) in order to associate the grouped detections that are strictly kinematically coherent with the pivot detection, by: - Initializing a histogram, each dimension of the histogram being a temporal variation of a corresponding coordinate measured by the radar system; - Calculating an interval of potential values for the or each coordinate of the pivot detection; - Calculating an interval of potential values for the or each coordinate of the pivot detection; - Calculating an interval of potential values for the or each coordinate of the considered grouped detection; - Calculating a minimal temporal variation and a maximal temporal variation from intervals of potential values of the pivot detection and the considered grouped detection for the or each coordinate measured by radar systems; - Incrementing each class of the histogram whose index along each dimension is located between the calculated minimal and maximal temporal variations; and - Testing a kinematic coherence criterion according to which a target is detected once at least one class of the histogram reaches a predefined value (K-1).