The thin film of non-protonic electrolyte comprises the microporous polyolefin film impregnated with an immobilized non-protonic electrolytic solution, where the film is treated to have improved affinity for the non-protonic solution by graft polymerization of the film with a monomer which can dissolve the non-protonic electrolytic solution, coating of the film with terminal-modified polypropylene which can dissolve the non-protonic electrolytic solution or coating of the film with wax which can dissolve the non-protonic electrolytic solution. The electrolyte-immobilized liquid-film conductor comprises the microporous polyolefin film impregnated with an immobilized non-protonic electrolytic solution, where the film contains an electron-conductive substance and is treated to have improved affinity for the non-protonic solution. The thin film of non-protonic electrolyte comprising the microporous polyolefin film gives a polymer battery, such as lithium battery, when combined with an anode and cathode. The polymer battery comprising the thin film of non-protonic electrolyte and the electrolyte-immobilized liquid-film conductor which is used at least one of the anode and cathode is advantageous over the conventional lithium battery of polymer electrolyte in various aspects, such as higher discharging function at low temperature, lesser self-discharge at high temperature, and higher charge/discharge characteristics over extended periods.