The present invention provides a lithium-containing composite oxide for a positive electrode for a lithium secondary battery, which has a large volume capacity density and high safety, and excellent durability for charge and discharge cycles and charge and discharge rate property, and its production method.The lithium-containing composite oxide is represented by the general formula LipNxMyOzFa (where N is at least one element selected from the group consisting of Co, Mn and Ni, M is at least one element selected from the group consisting of Al, Sn, alkaline earth metal elements and transition metal elements other than Co, Mn and Ni, 0.9≦p≦1.2, 0.965≦x