The LixMn2O4 
powder for 
cathode active material of a 
lithium secondary battery of the present invention is prepared by a method of comprising the steps of mixing an acetate 
aqueous solution using Li acetate and Mn acetate as 
metal precursors, and a chelating agent 
aqueous solution using PVB, GA, PAA or GC as a chelating agent; heating the 
mixed solution at 70 DIFFERENCE 90 DEG C. to form a 
sol; further heating the 
sol at 70 DIFFERENCE 90 DEG C. to form a gel precursor; calcining the produced gel precursor at 200 DIFFERENCE 900 DEG C. for 5 DIFFERENCE 30 hours under 
atmosphere. The 
cathode active material, LixMn2O4 
powder for a 
lithium secondary battery in accordance with the present invention has a uniform 
particle size distribution, a high 
crystallinity and a pure 
spinel-phase, and a particle size, a specific surface area, a lattice of a cubic structure and the like can be controlled upon the preparing conditions. The present invention also provides a method of preparing LiNi1-xCoxO2 
powder, which comprises the steps of providing a gel precursor using PAA as a chelating agent and 
hydroxide, 
nitrate or acetate of Li, Co and Ni as 
metal precursors; heating the gel precursor at 200 DIFFERENCE 900 DEG C. for 5 DIFFERENCE 30 hours to form a powder. The LixMn2O4 and LiNi1-xCoxO2 powder of the present invention can be used for a 
cathode active material of a 
lithium secondary battery such as a 
lithium ion battery or 
lithium polymer battery.