NOVELTY - The non-aqueous air battery useful in electronic device e.g. cell phone, comprises a negative electrode (14) for which a material, which absorbs and releases lithium ions is used as a negative electrode active material, a positive electrode (16) for which oxygen is used as a positive electrode active material, and a non-aqueous electrolyte disposed between the negative electrode and the positive electrode. The positive electrode contains a donor-acceptor molecule (16a) and nickel. An electron-donating donor of the molecule having a porphyrin ring is connected to an electron-accepting acceptor.    USE - The non-aqueous air battery is useful in electronic devices such as cell phones, hybrid cars and electric cars.    ADVANTAGE - The non-aqueous air battery has high discharge capacity, and provides high energy density to a power storage device.    DETAILED DESCRIPTION - The non-aqueous air battery useful in electronic device e.g. cell phone, comprises a negative electrode (14) for which a material, which absorbs and releases lithium ions is used as a negative electrode active material, a positive electrode (16) for which oxygen is used as a positive electrode active material, and a non-aqueous electrolyte disposed between the negative electrode and the positive electrode. The positive electrode contains a donor-acceptor molecule (16a) and nickel. An electron-donating donor of the molecule having a porphyrin ring is connected to an electron-accepting acceptor composed of a fullerene derivative with a conductive spacer. The fullerene derivative constituting the acceptor is a fullerene derivative in which a pyrrolidine ring is fused to a fullerene skeleton of C60, C70, C74, C76, C78, C80, C82, C84, C90 or C96. The spacer is composed of thiophene rings bonded to each other and connects the pyrrolidine ring to the donor. An INDEPENDENT CLAIM is included for a catalyst.    DESCRIPTION OF DRAWING(S) - The diagram shows a non-aqueous air battery.    Negative electrode (14)    Positive electrode (16)    Donar-acceptor molecule (16a)    Conductive material (16b)    Binder. (16c)