Abstract: With the rapid development of Global Navigation Satellite System（GNSS）, there are more and more researches on Receiver Autonomous Integrity Monitoring（RAIM） in the aircraft approach phase. Firstly, the integrity requirements of aircraft in different stages of approach and landing were introduced. Secondly, the RAIM algorithm commonly used in the aircraft approach phase was summarized, and the filtered Kalman Filter（KF） was proposed to solve the insufficient dectection ability problem of small faults and abrupt faults by the snapshot parity vector method, and the Particle Filter（PF） was proposed because KF couldn’t solve the nonlinear and non-Gaussian problems, and then the carrier-phase RAIM algorithm and the advanced RAIM algorithm were further proposed. Then, the RAIM availability determination method was introduced, and the current research status of RAIM availability for single system and multi systems integrated navigation in the aircraft approach stage were analyzed. It was found that most of the current research was mainly aimed at dual-system and three-system integrated navigation, and most of them were analyzed in APV-Ⅰ and APV-Ⅱ phases, but the more demanding CAT phase was hardly involved. Finally, the shortcomings of RAIM applied in aircraft approach were summarized, and the future research direction was prospected.