To provide a lithium-nickel-cobalt-manganese composite oxide powder for a positive electrode of a lithium secondary battery, which has a large volume capacity density and high safety and is excellent in the charge and discharge cyclic durability.
A positive electrode active material powder for a lithium secondary battery characterized by comprising a first granular powder having a compression breaking strength of at least 50 MPa and a second granular powder having a compression breaking strength of less than 40 MPa, formed by agglomeration of many fine particles of a lithium composite oxide represented by the formula LipNixCoyMnzMqO2-aFa (wherein M is a transition metal element other than Ni, Co and Mn, Al or an alkaline earth metal element, 0.9≦p≦1.1, 0.2≦x≦0.8, 0≦x≦0.4, 0≦z≦0.5, y+z>0, 0≦q≦0.05, 1.9≦2−a≦2.1, x+y+z+q=1, and 0≦a≦0.02) to have an average particle size D50 of from 3 to 15 μm, in a weight ratio of the first granular powder/the second granular powder being from 50/50 to 90/10.