NOVELTY - A lithium-ion secondary cell (7) comprises an anode (71) containing a lithium transition metal composite oxide which contains lithium and a transition metal as anode active material, cathode (72) containing cathode active material, and non-aqueous electrolyte formed by dissolving an electrolyte in the non-aqueous solvent.    USE - Lithium-ion secondary cell used as battery for information communication apparatus, personal computer, mobile telephone, electric vehicle and hybrid vehicle.    ADVANTAGE - The lithium-ion secondary cell suppresses fall of discharge capacitance, and has high internal resistance and charge density and excellent charging and discharging characteristics.    DETAILED DESCRIPTION - A lithium-ion secondary cell comprises an anode containing a lithium transition metal composite oxide which contains lithium and a transition metal as anode active material, cathode containing cathode active material, and non-aqueous electrolyte formed by dissolving an electrolyte in the non-aqueous solvent. The anode active material is high-voltage anode active material which shows flat portion of discharge curve in discharge potential of 4.5 V or more using lithium/lithium ion electrode as reference electrode. The non-aqueous electrolyte contains primary electrolyte which consists of lithium salt, and secondary electrolyte of formula (I) dissolved in non-aqueous solvent.    M=transition metal chosen from III, IV or V group element of periodic table, preferably Al, B, V, Ti, Si, Zr, Ge, Sn, Cu, Y, Zn, Ga, Nb, Ta, Bi, P, As, Sc, Hf or Sb;    A+=metal ion, proton or onium ion, preferably Li+, Na+, and K+;    b=1-3;    m=1-4;    n=0-8;    q=0 or 1;    R1=1-10C alkylene, 1-10C halogenated alkylene, 6-20C arylene or 6-20C halogenated arylene;    R2=1-10C alkyl, halogen, 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 and 6-20C halogenated aryl.    DESCRIPTION OF DRAWING(S) - The drawing shows the explanatory drawing of structure of the lithium-ion secondary cell.    Lithium-ion secondary cell (7)    Battery base (8)    Anode (71)    Cathode (72)    Separator (73)    Gasket (74)