NOVELTY - A lithium ion secondary cell (1) has an anode (2) containing an anode active material, a cathode containing a cathode (3) active material, and a non-aqueous electrolyte. The anode active material consists of specific metal phosphate, and the cathode active material consists of hardly graphitized carbon or easily graphitized carbon. The non-aqueous electrolyte is formed by dissolving an electrolyte in an organic solvent, and comprises an anion compound (1).    USE - As battery for hybrid motor vehicles.    ADVANTAGE - The lithium ion secondary cell has high output, excellent charging-and-discharging cycle characteristics and minimum internal resistance, even in high temperature environment.    DETAILED DESCRIPTION - A lithium ion secondary cell has an anode containing an anode active material, a cathode containing a cathode active material, and a non-aqueous electrolyte. The anode active material consists of compound of formula: LixMePO4, and the cathode active material consists of hardly graphitized carbon or easily graphitized carbon. The non-aqueous electrolyte is formed by dissolving an electrolyte in an organic solvent, and comprises an anion compound of formula (1).    Me=iron, cobalt, nickel and/or manganese;    x=0.85-1.15;    M=transition metal, group III element, group IV element or group V element;    b=1-3;    m=1-4;    n=0-8;    q=0 or 1;    R1=1-20C alkylene, 1-10C halogenated alkylene, 6-20C arylene or 6-20C halogenated arylene optionally having substituent and hetero atom;    R2=halogen, 1-10C alkyl, 1-10C alkyl halide, 6-20C aryl, 6-20C halogenated aryl, or X3R3;    X1-X3=oxygen, sulfur or NR4;and    R3,R4=H, (1-10C alkyl, 1-10C alkyl halide, 6-20C aryl or 6-20C halogenated aryl) optionally having substituent and hetero atom.    DESCRIPTION OF DRAWING(S) - The figure shows the explanatory drawing of the structure of lithium ion secondary cell. (Drawing includes non-English language text).    Lithium ion secondary cell (1)    Anode (2)    Cathode (3)    Separator (4)    Battery case (6)    Gasket (59)