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. 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.