NOVELTY - The positive electrode active material for a non-aqueous electrolyte secondary battery, comprises primary particles of a lithium-metal complex oxide powder, and secondary particles formed by aggregating of the primary particles. The shape of the secondary particles is spherical or spheroidal. The secondary particles (95%) have diameters of 20 microns. A mean particle diameter of the secondary particles is 7-13 microns. A tap density of the particles are 2.2 g/cm3. The primary particles in the secondary particles are arranged radially from a center of the secondary particles.    USE - Useful for a non-aqueous electrolyte secondary battery, which is useful in electric car.    ADVANTAGE - The positive electrode active material is cost effective, and provides high power and a high life of the battery obtained due to a drop in the internal resistance of the battery.    DETAILED DESCRIPTION - The positive electrode active material for a non-aqueous electrolyte secondary battery, comprises primary particles of a lithium-metal complex oxide powder, and secondary particles formed by aggregating of the primary particles. The shape of the secondary particles is spherical or spheroidal. The secondary particles (95%) have diameters of 20 microns. A mean particle diameter of the secondary particles is 7-13 microns. A tap density of the particles are 2.2 g/cm3. The primary particles in the secondary particles are arranged radially from a center of the secondary particles. In a pore distribution measurement using a nitrogen adsorption method, a mean volume of pores having a diameter of 40 nm or less in average is 0.001-0.008 cm3/g, and a mean crushing strength of the secondary particles is 15-100 MPa. In the lithium-metal complex oxide, the lithium ions are arranged in a layered rock-salt structure of lithium-nickel complex oxide, on the 3a sites, and a site occupancy of metal ions other than lithium ion is 2% or less. The lithium-metal complex oxide powder represented by LizNi1-wMwO2, and Liz-Nii-x-yTxLyO2, where T, L and M are a metal element, x and w are 0-0.25, y is 0-0.1, x+y is 0-0.25 and z is 1-1.1. INDEPENDENT CLAIMS are included for:    (1) a non-aqueous electrolyte secondary battery; and    (2) a manufacturing method for a positive electrode active material for a non-aqueous electrolyte secondary battery.    DESCRIPTION OF DRAWING(S) - The diagram shows a crystal structure of lithium nickelate of a layered rock-salt structure.