An objective of the present invention is to provide a lithium secondary battery which can achieve a higher capacity and a longer life without reduction in a lower voltage in the battery. In the present invention, a compound represented by general formula (I) described below is used as a cathode active material, and a compound represented by general formula (II) described below is used as an anode active material; Lia1(Nix1Mn2-x1-y1M1y1)O4  (I) wherein the M1 is at least one of Ti, Si, Mg and Al, the a1 satisfies 0≦a1≦1, the x1 satisfies 0.4≦x1≦0.6, and the y1 satisfies 0≦y1≦0.4; and Lia2M21-y2M3y2Oz2  (II) wherein the M2 is at least one of Si and Sn; the M3 is at least one of Fe, Ni and Cu, the a2 satisfies 0≦a2≦5, the y2 satisfies 0≦y2