NOVELTY - A lithium ion secondary cell has an anode containing anode active material which is capable of charging and discharging lithium ion, a cathode containing active material comprising carbon system material which is capable of charging and discharging lithium ion, and a non-aqueous electrolyte formed by dissolving electrolyte into non-aqueous solvent. The non-aqueous electrolyte contains electrolyte chosen from hexafluorophosphate, lithium perchlorate, lithium tetrafluoroborate, lithium hexafluoroarsenate and/or lithium antimony fluoride.    USE - Lithium ion secondary cell is used for personal computer, mobile telephone and hybrid vehicle.    ADVANTAGE - The lithium ion secondary cell has excellent durability, capacity and charging/discharging characteristics.    DETAILED DESCRIPTION - A lithium ion secondary cell has an anode containing anode active material which is capable of charging and discharging lithium ion, a cathode containing active material comprising carbon system material which is capable of charging and discharging lithium ion, and a non-aqueous electrolyte formed by dissolving electrolyte into non-aqueous solvent. The non-aqueous electrolyte contains electrolyte chosen from hexafluorophosphate, lithium perchlorate, lithium tetrafluoroborate, lithium hexafluoroarsenate and/or lithium antimony fluoride, secondary electrolyte (I) containing lithium ion of formula (1 or 2), secondary electrolyte (II) containing potassium ion and/or secondary electrolyte (III) containing sodium ion. The non-aqueous solvent contains 0.1-20 wt.% of vinylene carbonate and/or vinylene ethylene carbonate.    M=transition metal or group III-V of periodic table;    b=1-3;    m=1-4;    n=1-8;    q=0 or 1;    R1=1-10C alkylene, 1-10C halogenated alkylene, 6-20C arylene or 6-20C halogenated arylene;    R2=halogen, 1-10C alkyl, 1-10C alkyl halide, 6-20C aryl, 6-20C halogenated aryl or X3R3;    X1-X3=O, S or NR4;and    R3,R4=H, 1-10C alkyl, 1-10C alkyl halide, 6-20C aryl or 6-20C halogenated aryl.