In a non-aqueous electrolyte secondary battery provided with a positive
electrode, a negative electrode, and a non-aqueous electrolyte solution,
a positive electrode active material is a mixture of lithium-manganese
composite oxide and at least one of lithium-nickel composite oxide
represented by a general formula LiNi.sub.aM1.sub.1-aO.sub.2 and
lithium-cobalt composite oxide represented by the general formula
LiCo.sub.bM2.sub.1-bO.sub.2, and said non-aqueous electrolyte solution
contains at least a saturated cyclic carbonic acid ester and an
unsaturated cyclic carbonic acid ester having double bond of carbon where
content by amount of said unsaturated cyclic carbonic acid ester having
double bond of carbon is in a range of 1.0.times.10.sup.-8 to
2.4.times.10.sup.-4 g per positive electrode capacity 1 mAh.