In a nonaqueous electrolytic secondary battery according to the invention, hexagonal system lithium containing cobalt composite oxide having a crystallite size in a (110) vector direction of 1000 Å or more and having a halogen compound added thereto by burning at time of synthesis is used as a positive electrode active material. By measuring a pH value of a filtrate obtained by dispersing, in water, the lithium containing cobalt composite oxide having the halogen compound added thereto by the burning at time of the synthesis and a crystallite size in the (110) vector direction of 1000 Å or more, a value of 9.6 to 10.1 is obtained. By using the lithium containing cobalt composite oxide as a positive electrode active material, a high temperature cycle property can be enhanced.