A cooling system that cools a wafer in a vacuum chamber of a sputtering apparatus, includes a wafer cooling stage for cooling the wafer, a cooling mechanism for cooling the wafer cooling stage, cooling gas supply units which introduces a cooling gas to the wafer cooling stage, a wafer rotating mechanism which holds the wafer in a state separated from the wafer cooling stage by a predetermined gap, and is rotated while holding the wafer, and a driving mechanism which rotates the wafer rotating mechanism at a predetermined rotational speed.