NOVELTY - A positive electrode active material manufacturing method involves adding and mixing 0.5-150 ml alkaline solution in which tungsten compound is dissolved with respect to lithium metal complex oxide powder containing secondary particles. The tungsten compound is distributed on a surface of primary particles. Micro-particles containing lithium tungstate is formed on the surface of the lithium metal complex oxide powder, or the surface of the primary particles by heat-processing at 100-800 degrees C.    USE - Method for manufacturing a positive electrode active material that is utilized for a non-aqueous electrolyte secondary battery (all claimed) in portable electronic devices such as mobile telephone and notebook-type personal computer, and in electric vehicles and hybrid vehicles, gasoline engine, and diesel engine.    ADVANTAGE - The method enables allowing large scale industrial production of the positive electrode active material and improving initial stage discharge capacity, safety, thermal-stability, load characteristics, output characteristics and cycling characteristics of the battery.    DETAILED DESCRIPTION - A positive electrode active material manufacturing method involves adding and mixing 0.5-150 ml alkaline solution in which tungsten compound is dissolved with respect to lithium metal complex oxide (LizNi1-x-yCoxMyO2) powder containing secondary particles, where x is 0.1-0.35, y is 0-0.35, z is 0.97-1.20 and M is manganese, vanadium, magnesium, molybdenum, niobium, titanium or aluminum. The tungsten compound is distributed on a surface of primary particles. Micro-particles containing lithium tungstate (Li2WO4, Li4WO5 or Li6W2O9) is formed on the surface of the lithium metal complex oxide powder, or the surface of the primary particles by heat-processing at 100-800 degrees C. INDEPENDENT CLAIMS are also included for the following:    (1) a positive electrode active material    (2) a non-aqueous electrolyte secondary battery.    DESCRIPTION OF DRAWING(S) - The drawing shows a scanning electron microscope of a lithium metal complex oxide.