A lithium-containing complex oxide exhibits a high performance as a
cathode active material of a lithium secondary cell or the like and
having a high tap density. A granular lithium-containing complex oxide,
such as lithium manganese complex oxide, is made up of "complex oxide
grains produced by integrating lithium-rich material grains abnormally
grown during a firing reaction with the surfaces of the base grains by
sintering." The number of complex oxide grains is not more than 50 per
gram of the complex grains. A metal oxide such as manganese oxide and
lithium carbonate not more than 5 .mu.m in average grain size are mixed
by means of a mixer which grinds and mixes particles by using a shearing
force and heated and fired at a warming rate of not more than 50.degree.
C./h., thus producing the lithium-containing complex oxide.