An ice tray is provided that prevents the overflow or splashing of water or thin ice out of the ice tray as water is supplied to the ice tray, or when the ice tray is shaken by an external force. The ice tray may include a plurality of receiving portions that receive water for freezing into ice pieces. An overflow preventing portion may extend upward from upper edges of the receiving portions to form a barrier to water flowing out of the ice tray. Alternatively, the receiving parts may be positioned within a corresponding plurality of location parts having water proofing walls extending upward therefrom to inhibit the unintentional flow of water or thin ice out of the receiving portions of the ice tray.