A novel secondary battery with metal Cu positive electrode and metal Li negative electrode has been developed. Aqueous electrolyte used for Cu electrode and non-aqueous electrolyte used for Li electrode are connected together by a glassy state electrolyte film through which only lithium ions can pass. During the charge and discharge processes, the dissolution-deposition of Cu (or Li) electrode and lithium ions transfer between aqueous electrolyte solution and non-aqueous solution occur. The highly reversible dissolution-deposition process of Cu metal positive electrode results in a capacity of 843 mAh g^-1, which is much higher than those of conventional positive electrodes. The active electrode materials of this new type of Li-Cu secondary battery are recyclable.