A positive electrode active material for a non-aqueous electrolyte
secondary battery, comprising a lithium-containing composite oxide,
wherein the composite oxide is represented by the general formula:
Li.sub.zCo.sub.1-x-yMg.sub.xM.sub.yO.sub.2, the element M included in the
general formula is at least one selected from the group consisting of Al,
Ti, Sr, Mn, Ni and Ca, the values x, y and z included in the general
formula satisfy: (i) 0.ltoreq.z.ltoreq.1.03; (ii)
0.005.ltoreq.x.ltoreq.0.1; and (iii) 0.001.ltoreq.y.ltoreq.0.03, the
composite oxide has a crystal structure attributed to a hexagonal system
in an overcharged state having a potential over 4.25 V relative to
metallic Li, and a maximum value of an oxygen generation peak in a gas
chromatograph mass spectrometry measurement of the composite oxide in the
overcharged state is in the range of 330 to 370.degree. C.