To provide a process for 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 is excellent in the charge and discharge cyclic durability and low temperature characteristics.A process for producing a lithium-containing composite oxide represented by the formula LipNxMyOzFa (wherein 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, alkaline earth metal elements and transition metal elements other than N, 0.9≦p≦1.2, 0.95≦x≦2.00, 0