Hybrid energy storage has superior power controllability and is often used as a power buffer in island microgrids to compensate for the power output of distributed powers and loads. To address power response issues， a power control method for hybrid energy storage is proposed， and an adaptive power allocation strategy with multi-objective coordination for subunits is developed. Firstly， a master-slave parallel power control scheme is developed by analyzing the balance mechanism of bus power supply and demand. Secondly， the scheme achieved autonomous power distribution of subunits by utilizing the zeroing characteristic of the integrator. Based on this， a hierarchical management system for SOC and a power coordination method with multi-objective optimization of subunits are designed by analyzing the maximum power response of subunits under different SOCs. The simulation results indicate that the proposed method yields a power distribution effect that aligns with the power response characteristics of subunits. As the SOCscn offset increases， the proposed strategy provides a stronger optimization ability for SOCscn， as the performance can be improved by 10.1% when the initial SOCscn is 97%， which ensures that the power output capacity of the supercapacitor as a voltage source is guaranteed. The proposed strategy reduces the output strength of the battery under the normal condition of the supercapacitor as the maximum power depth of the battery is reduced by 46.7%. This improvement prolongs the service life of the battery.