Global Navigation Satellite System (GNSS) spoofing causes the target receiver to generate incorrectpositioning results. Using Inertial Navigation System (INS)-aided, constructing chi-squared test statistics basedon the Kalman filter innovation sequence is an effective means to detect airborne GNSS spoofing. However, thealgorithm cannot give the spoofing duration, causing the INS/GNSS system could not to determine whether thecalculated positioning information is correct based on the algorithm. In this paper, a limited-memory chi-squared detection based on the reconstructed innovation sequence is proposed by using the Distance MeasuringEquipment (DME) system. The algorithm uses the existing INS, GNSS and DME data to construct aninnovation sequence that does not participate in Kalman filter, and then constructs the innovation sequenceinto a limited memory chi-square test statistic to detect spoofing interference. When the airborne GNSSspoofing causes a position deviation of 250 m and above, the designed algorithm can obtain a more accuratespoofing duration in simulation part. Finally, this paper gives the correct positioning information of the INS/GNSS/DME system based on the detection result of the proposed algorithm.