A process for producing a lithium aluminum complex hydroxide carbonate salt, which comprises reacting amorphous or pseudo-boehmite hydrated alumina gel and a lithium carbonate or bicarbonate in an aqueous medium under such a condition that the concentration of aluminum, calculated as alumina (Al.sub.2 O.sub.3), based on the total amount of the aqueous medium and the materials added to the aqueous medium, becomes 1 to 5% by weight, and the pH at the termination of the reaction becomes 7 to 11,
- wherein the hydrated alumina is reacted with the carbonate or the bicarbonate so that the amount of the carbonic acid ion is at least 0.25 mole based on the total aluminum atoms and
- wherein the reaction is carried out at a temperature of 50 to 90.degree. C.