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 and a coating layer made of a cobalt compound and 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, a total amount of eluted ions except for oxonium ions, hydroxide ions, and carbonate ions in the suspension is 6.5 mmol/L or less. The coated nickel hydroxide powder obtained through a crystallization step, a coating step, and a washing step is dried in a drying step in a decarbonated atmosphere whose partial pressure of a carbon-containing gas is 15 Pa or less.