NOVELTY - A mixed positive active material comprises first lithium-composite oxide component having concentration gradient in which concentration of the metal ion gradually changes from composition of core part to composition of shell part, and second lithium-composite oxide component in which concentration of the metal ion is constant, where the core part comprises lithium-nickel-cobalt-manganese-oxide component, and the shell part comprises lithium-nickel-cobalt-manganese-oxide component.    USE - Mixed positive active material for use in anode of lithium secondary battery that is utilized in medium and large-size device such as commercial electric vehicle, electrical golf cart, electric truck, electric two-wheeled vehicle or power storage, E-bike, electric vehicle, E-scooter with power tool, electric vehicle, hybrid electric vehicle and plug-in hybrid electric vehicle (all claimed).    ADVANTAGE - The material has high energy density, high stability, excellent lifetime property, high-rate characteristic, and increased mixing ratio of the high stability complex oxide and mixing ratio of the high-conductivity complex oxide.    DETAILED DESCRIPTION - A mixed positive active material comprises first lithium-composite oxide component having concentration gradient in which concentration of the metal ion gradually changes from composition of core part to composition of shell part, and second lithium-composite oxide component (Lix3Niy3Mnz3Co1-x3-y3-z3M1sO2) in which concentration of the metal ion is constant, where the core part comprises lithium-nickel-cobalt-manganese-oxide component (Lix1(Ni-1-y1-z1-w1Coy1Mnz1Mw1)O2), the shell part comprises lithium-nickel-cobalt-manganese-oxide component (Lix2(Ni-1-y2-z2-w2Coy2Mnz2Mw2)O2), x1, x3 is 0.9-1.3, y1 is 0-0.3, z1 is 0-0.3, w1 is 0-0.1, (1-y1-z1-w1) is 0.7-1, M is magnesium, barium, zinc, calcium, strontium, copper, zirconium, phosphorus, iron, aluminum, gallium, indium, chromium, germanium and tin, x2 is 0.9-(1+z2), y2 is 0-0.33, z2 is 0-0.5, w2 is 0-0.1, (1-y2-z2-w2) is 0.3-0.7, y3 is 0.3-0.8, z3 is 0.01-0.4, s is 0-0.3, and M1 is magnesium, titanium, boron, aluminum, chromium, iron, molybdenum, phosphorus, strontium and zirconium.