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Due to its agility, flexibility and accuracy, airborne repeat-pass Interferometric Synthetic Aperture Radar (InSAR) is capable of overcoming the disadvantages of long revisit time and low resolution in space-borne SAR interferometry, and play an irreplaceable role in monitoring the deformation of landslides, volcanoes, earthquakes, etc. In this paper, the history and status in the world wide about the technology of airborne repeat-pass SAR interferometry are reviewed detailedly. Then after the accuracy of this technology is analyzed, its key problems in practice are presented, and the related researches in this field are also introduced comprehensively. The development trend and the prospect of this technology are also described in this paper. Finally, it is pointed that several problems still need to be studied further for accurate parameter inversion.