NOVELTY - Non-aqueous electrolyte secondary battery has anode plate (2), cathode plate (3), non-aqueous electrolyte and separator (4). The anode active material of anode plate is lithium-nickel complex oxide. The non-aqueous electrolyte contains mixed solvent of cyclic carbonate and linear carbonate, and lithium salt. The separator has a layer containing filler fine particles, and a shutdown layer. The moisture content of separator layer, is 1000-6000 ppm.    USE - Non-aqueous electrolyte secondary battery such as lithium ion secondary battery used as main power supply for portable electronic devices such as mobile telephone and notebook personal computer, electrically driven tools, electric vehicle and motor vehicle.    ADVANTAGE - Non-aqueous electrolyte secondary battery has high capacity and improved cyclic characteristics. The balance of polarization of anode plate and cathode plate is improved, when charging and discharging of battery is repeatedly carried out.    DETAILED DESCRIPTION - Non-aqueous electrolyte secondary battery has anode plate, cathode plate, non-aqueous electrolyte and separator. The anode active material of anode plate is lithium-nickel complex oxide. The non-aqueous electrolyte contains mixed solvent of cyclic carbonate and linear carbonate, and lithium salt. The separator has a layer containing filler fine particles, and a shutdown layer. The moisture content of separator layer, is 1000-6000 ppm. The layer containing filler fine particles is a heat-resistant porous membrane containing heat-resistant resin and filler fine particles. The filler fine particles are chosen from alumina, titanium oxide, zirconium oxide, magnesium oxide, zinc oxide and/or silicon dioxide. The cyclic carbonate is chosen from ethylene carbonate, propylene carbonate and/or butylene carbonate. The linear carbonate is chosen from dimethyl carbonate, diethyl carbonate, ethylmethyl carbonate, di-n-propyl carbonate, methyl-n-propyl carbonate, ethyl-n-propyl carbonate, methyl-i-propyl carbonate and/or ethyl-i-propyl carbonate.    DESCRIPTION OF DRAWING(S) - The drawing shows expanded sectional view of non-aqueous electrolyte secondary battery.    Anode plate (2)    Cathode plate (3)    Separator (4)    Electrode group (5)    Battery case (6)