Disclosed is a process for producing a secondary battery cathode material by calcining raw materials. The process is characterized by calcining the raw materials together with one or more substances, which are selected from the group consisting of hydrogen, water and water vapor, and conductive carbon and/or a substance, which can form conductive carbon by pyrolysis, added thereto. As crystals of the secondary battery cathode material obtained by this process have been controlled fine sizes, the secondary battery cathode material promotes movements of ions of an alkali metal led by lithium between the interiors of grains of the cathode material and an electrolyte to suppress polarization in an electrode reaction, and further, increases an area of contact between the positive material and a conductivity-imparting material to provide improved conductivity so that improvements are assured in voltage efficiency and specific battery capacity.