A coated nickel hydroxide powder that has improved dispersibility in a paste to inhibit agglomeration and can be densely packed in a three-dimensional metal porous body in the preparation of a positive electrode for alkaline secondary battery includes nickel hydroxide particles having a coating layer made of a cobalt compound formed on a surface of the nickel hydroxide particles, wherein when 10 mL of water is added to 10 g of the coated nickel hydroxide powder to prepare a suspension, the suspension has a pH of 10.2 or higher (as measured at 25° C.). The coated nickel hydroxide powder obtained through a crystallization step and a coating step is washed in a washing step until an amount of ammonium ions eluted into a suspension obtained by adding 10 mL of water to 10 g of the coated nickel hydroxide powder becomes 0.35 mmol/L or less.