NOVELTY - The battery has negative electrode (84) that is provided with an anode collector (82) and negative electrode compound material layer containing negative electrode active material. The porosity A of negative electrode compound material layer, the porosity B of separator base material (94) and porosity C of heat-resistant layer (96) that adjoins separator base material adjacent to negative electrode compound material layer, and not adjoins negative electrode compound material layer or separator base material are determined to satisfy predetermined condition.    USE - Non-aqueous-electrolyte secondary battery such as lithium ion secondary battery used as driving power supply of vehicle (all claimed) such as plug-in hybrid motor vehicle (PHV), hybrid vehicle (HV), fuel motor vehicle, and electric vehicle (EV). Can also be used in power supply for personal computer and portable terminal.    ADVANTAGE - The precipitation of the substance derived from electric charge support by providing the film of preferable aspect by the surface of negative electrode active material can be suppressed and the internal short circuit by heat shrink and the electroconductive foreign material of separator base material can be prevented.    DETAILED DESCRIPTION - The battery has film made of boron and sodium which is formed in surface of negative electrode active material in negative electrode compound material layer. A heat-resistant layer formed with inorganic filler is arranged among positive electrode (64) and negative electrode. The increase rate of resistance after repeating charging/discharging cycle of resting for 30 second is 10 % or less after performing charge for 0.1 second at the electric current rate of 30 C. The separator base material is provided with porous polyethylene layer (91) as internal layer, and porous polypropylene layer (92) stacked on both surfaces of porous polyethylene layer. The positive electrode active material is composed of dischargeable lithium containing compound about lithium ion.    DESCRIPTION OF DRAWING(S) - The drawing shows a sectional view of the winding electrode.    Positive electrode (64)    Anode collector (82)    Negative electrode (84)    Polyethylene layer (91)    Polypropylene layer (92)    Separator base material (94)    Heat-resistant layer (96)