Abstract: A clear ice making apparatus includes: a freezing space; a tray placed in the freezing space and having a lower temperature at a bottom part thereof than at an upper part thereof; and a water supply unit of supplying water to the tray from the top thereof, in which an ice is made at an ice making rate of 5 &mgr;m/s or lower, a part of a liquid-phase section of water in the tray which part is in contact with atmosphere is frozen to complete the ice making, the liquid-phase section of water is not entirely supercooled before the ice making is completed, and the concentration of air in the liquid-phase section of water in the tray is equal to or lower than an excessive concentration of air.