The invention discloses a microgrid energy storage apparatus and a control method in combination with a storage battery and a supercapacitor, and belongs to the technical field of microgrid control. A power dispatching instruction of the microgrid is decomposed into a high frequency part and a low frequency part; then the high frequency part of the power dispatching instruction is output by the supercapacitor; the low frequency part of the power dispatching instruction is output by the storage battery; and a variable proportion droop controller, virtual impedance, energy storage unit end voltage feedforward and other control ways are introduced, so that the stable operation of the microgrid is ensured, and the power quality of the system is improved consequently.