A brain cooling apparatus is provided that can circulate a fluid between a containing unit of a brain cooling device and the brain cooling apparatus while maintaining an appropriate pressure of the fluid in the containing unit, and a brain cooling device suitable thereto also is provided. A control device circulates a physiological saline solution between a storage tank and a cuff by driving a first pump in a direction in which the physiological saline solution flows toward the cuff, and driving a second pump in a direction in which the physiological saline solution flows toward the storage tank. In this state, the control device adjusts the rotation speed of at least the second pump, so that the pressure of the physiological saline solution in the cuff becomes a preset target pressure.