[Problem] By obtaining a compound
hydroxide that has a sharp particle
diameter distribution, the present invention aims to improve the cycle properties of a nonaqueous
electrolyte secondary
cell obtained using the
nickel-
cobalt compound
hydroxide as the precursor. [Solution] In the present invention, a
slurry contains a
nickel-
cobalt compound
hydroxide that is obtained by reacting and continuously feeding to a reactor an
aqueous solution containing at least
nickel and
cobalt, an
aqueous solution that serves as an
ammonium ion donor, and an aqueous caustic alkali solution. The
slurry is continuously extracted and the
slurry is separated by grading into
large particle diameter portions and
small particle diameter portions. The
small particle diameter portion is continuously circulated back to the reactor. The resulting nickel-cobalt compound hydroxide is represented by the general formula Ni1-x-yCoxMy (OH)2 (where 0.05 ≤ x ≤ 0.50, 0 ≤ y ≤ 0.10, 0.05 ≤ x + y ≤ 0.50, M is at least one
metal element selected from Al, Mg, Mn, Ti, Fe, Cu, Zn, and Ga), wherein the correlations of (D50-D10) / D50 ≤ 0.30 and (D90-D50) / D50 ≤ 0.30 are established between D10, D50, and D90.