In a microgrid, paralleling multiple bidirectional interface converters can effectively improve the power exchange capability on both sides of the microgrid. However, the power adaptive control problem of paralleling multiple bidirectional interface converters significantly increases the difficulty of microgrid control. The access to the energy storage system can buffer the power fluctuations of the microgrid and reduce the difficulty of power control. In order to ensure the stable operation of the microgrid and improve the power adaptive control accuracy, a hybrid energy storage multi-microgrid power adaptive control method based on edge computing is proposed. The structure of hybrid energy storage multi-microgrid is analyzed, and an automatic management platform for hybrid energy storage multi-microgrid is constructed based on edge computing technology. On this basis, the DC sub-network bus voltage regulation is introduced to adjust the frequency of the reference output voltage of the interface converter to complete the adaptive control of the power exchange on both sides of the AC-DC hybrid microgrid. It is considered to connect the energy storage system in the hybrid microgrid, and realize the power adaptive control of the hybrid energy storage multi-microgrid through power exchange control and autonomous power frequency division adaptive control. The experimental results show that the hybrid energy storage multi-microgrid power control effect of the proposed method is better, and the active power control error is small. It can effectively ensure the stable operation of the hybrid energy storage multi-microgrid and improve the power adaptive control accuracy.