A positive electrode active material for a non-aqueous electrolyte
secondary battery includes a particle of a composite oxide which contains
Li and Co, wherein: the composite oxide further contains an element
M.sup.1 and an element M.sup.2; the element M.sup.1 is at least one
selected from the group consisting of Mg, Cu and Zn; the element M.sup.2
is at least one selected from the group consisting of Al, Ca, Ba, Sr, Y
and Zr; the element M.sup.1 is uniformly distributed in the particle; and
the element M.sup.2 is distributed in the surface portion of the particle
more than in the inside thereof.