The present invention relates to an electric energy storage apparatus having a configuration comprising at least a capacitor and an inductor, wherein the electric energy storage apparatus provides storage of charges generated from microbial fuel cells, and the inductor of the electric energy storage apparatus is capable of converting part of the alternative current power generated by the microbial fuel cell into a direct current power. This direct portion of electric power is a part of the electric power supplied to the energy storage apparatus. The storage of the energy storage apparatus also can be stabilized by the electromagnetically induced feedback mechanism. Therefore, the stabilization of energy storage of the microbial fuel cell can be achieved simultaneously. The present invention also provides a microbial fuel cell energy storage system comprising a microbial fuel cell and the apparatus.
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