As a non-diffractive beam with self-accelerating characteristics, Airy beam has application potentials in many fields such as optical tweezers, optical filamentation, imaging and surface plasma excitation. The introduction of vortex on Airy beam can enrich the characteristics of light field. Taking advantage of the characteristics of both Airy beam and vortex phase, greater flexibility for the tuning of light field distribution could be achieved, as well as more interesting dynamic evolution features. Starting with the characteristics and applications of Airy beams, the parameter tuning and evolution characteristics of a single Airy vortex are systematically introduced, including its evolution characteristics, generation ways, derived light field and applications, and also the peculiar properties of the superposition beams of Airy vortex in rectangular and polar coordinates respectively, which provides a reference for the systematic understanding of Airy vortex parameters and dynamic characteristics, lays a foundation for the generation of light field with richer properties, and has guiding significance for expanding the practical application field of Airy vortex.