TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Process: The anionic functional group is introduced to a principal chain of polymer by co-polymerizing acrylic acid or maleic acid.    TECHNOLOGY FOCUS - POLYMERS - Preferred Property: The mean molecular weight of the polymer having anionic functional group is, 2x10 to the power 3 - 1.5x10 to the power 6.Preferred Composition: The amount of polymer having anionic functional group, contained in anode coating film, is 0.005-1 mass parts with respect to 100 mass parts of anode coating film.Preferred Binder: A main binder contained in the coating film, is polyvinylidene fluoride. EXAMPLE - N-vinyl-2-pyrrolidone (in mass parts) (80), acrylic acid (20), 2,2'-azobisisobutylnitrile (1.8) and 2-propanol (100), were mixed. 2-propanol (100) was added to the resulting solution for 2 hours and reacted at 70degreesC for 14 hours under nitrogen atmosphere, to obtain polymeric copolymer having anionic functional group and side chain of formula (1). Ketchen black as conductive support agent (3) having pH of water slurry of 9 and average primary particle diameter of 40 nm, polymeric copolymer (1.2) having molecular weight of 45000, and polyvinylidene fluoride as main binder (4.8), N-methyl-2-pyrrolidone (60) and lithium cobaltate as anode active material (191) having average particle diameter of 5.5 micrometer, were mixed to obtain an anode coating material paste. The obtained paste was applied on both surfaces of an electroconductive substrate consisting of aluminum foil with a thickness of 15 micrometer and dried, to obtain an anode having coating film. The anode and cathode were wound in a shape of coil through a separator consisting of microporous polyethylene film with a thickness of 25 micrometer. An electrolyte liquid was impregnated into anode, cathode and separator. The resulting product was vacuum-sealed and maintained at room temperature for 3 hours, to obtain a non-aqueous secondary battery. The obtained non-aqueous secondary battery had high capacity and excellent charging and discharging property.