The present invention provides a brain cooling apparatus 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 also provides a brain cooling device suitable thereto. A control device 48 circulates a physiological saline solution between a storage tank 32 and a cuff 4 by driving a first pump 41 in a direction in which the physiological saline solution flows toward the cuff 4, and driving a second pump 42 in a direction in which the physiological saline solution flows toward the storage tank 32. In this state, the control device 48 adjusts the rotation speed of at least the second pump 42, out of the two pumps 41 and 42, so that the pressure of the physiological saline solution in the cuff 4 becomes a preset target pressure.