NOVELTY - Molybdenum salt solution and alkaline solution are added simultaneously to mixed aqueous solution of nickel salt and cobalt salt. Nickel hydroxide, cobalt hydroxide and molybdenum hydroxide are co-precipitated maintaining the obtained mixture at pH of 10-12.5 at 50-80degreesC, to obtain composite hydroxide of nickel-cobalt-molybdenum (I). The composite hydroxide is baked to obtain nickel-cobalt-molybdenum oxide, and mixed with lithium compound. The obtained mixture is heat processed at 650-850degreesC to obtain anode active material containing lithium metal complex oxide (II).    USE - For manufacturing anode active material for non-aqueous electrolyte secondary battery (claimed) used as power supply of portable device, electric vehicles and hybrid vehicles.    ADVANTAGE - The anode active material provides batteries with high initial stage capacitance, heat stability and improved safety.    DETAILED DESCRIPTION - Molybdenum salt solution and alkaline solution are added simultaneously to mixed aqueous solution of nickel salt and cobalt salt. Nickel hydroxide, cobalt hydroxide and molybdenum hydroxide are co-precipitated maintaining the obtained mixture at pH of 10-12.5 at 50-80degreesC, to obtain composite hydroxide of nickel-cobalt-molybdenum. The composite hydroxide is baked at 600-750degreesC to obtain nickel-cobalt-molybdenum oxide, and mixed with lithium compound. The obtained mixture is heat processed at 650-850degreesC to obtain anode active material containing lithium metal complex oxide powder. The composite hydroxide nickel-cobalt-molybdenum has composition of formula (I): Ni1-x-yCoxMoy(OH)2. The lithium metal complex oxide powder has composition of formula (II): Li1+zNi1-x-yCoxMoyO2, where x is 0.10-0.21, y is 0.01-0.10 and z is -0.05 to 0.10. INDEPENDENT CLAIMS are included for the following:    (1) anode active material for non-aqueous electrolyte secondary battery, which contains the powder of lithium metal complex oxide; and    (2) non-aqueous electrolyte secondary battery, containing the anode active material.    DESCRIPTION OF DRAWING(S) - The figure shows the sectional drawing of coin battery used for battery evaluation.    Lithium metal anode (1)    Separator (2)    Positive electrode (3)    Gasket (4)    Negative pole can (5)