In the future, the airport power supply system will incorporate a variety of distributed power sources and gradually develop towards the airport microgrid. In order to improve the operating economy of the airport microgrid, the airport microgrid needs a more effective dispatching strategy. Under the background, an improved sparrow search algorithm is proposed to improve the speed and accuracy of the traditional dispatching strategy. Firstly, the typical airport microgrid is considered as the research object and an optimized dispatching model for the airport microgrid is established. Then, the improved sparrow search algorithm is proposed which adds a non-linear change weight factor to prevent the algorithm from entering local convergence. At the end, the proposed algorithm is employed to solve the optimal dispatching of airport microgrid and it is compared with the basic sparrow search algorithm. The comparative analysis results show that the proposed algorithm has the advantages of fast convergence and high optimization accuracy, which can effectively reduce the operating cost of airport microgrid.