The invention aims to provide a positive electrode active mateiral for a high-cyclic-property lithium ion secondary battery, a positive electrode for the lithium ion secondary battery, and a lithium ion secondary batery using the positive electrode. The positive electrode active mateiral includes a lithium-nickel composite oxide represented as the formula (1) and a phosphate compound, wherein a coating layer is formed on at least a part of the surface of granules of the lithium-nickel composite oxide by means of a high-heat-conductive substance being more than 500 W/m*k in heat conductivity. At least one part of the coating layers are connected to each other in a manner that the coating layers are contacted with each other directly or is connected to each other through the high-heat-conductive substance, in sheet or rod shapes, being more than 500 W/m*k in heat conductivity. LixNi<1-y>MyO2 (1), wherein M includes at least one metal of Co, Fe, Ti, Cr, Mg, Al, Cu, Ga, Mn, Zn, Sn, B, V, Ca and Sr, wherein 0.05 <= x <= 1.2 and 0 <= y <= 0.5.