A device (1) for selectively cooling the brain of a warm-blooded animal, in particular a human being, in a noninvasive manner, includes connectable self-contained cooling elements (4, 18, 19) and fixing elements for fixing in the head/neck area of the warm-blooded animal. The cooling device lowers the brain temperature in warm-blooded animals in a quicker and more effective manner without the need for especially trained medical personnel. This is achieved in that the fixing elements are designed such that the device (1) can be fixed to the warm-blooded animal in order to produce a heat-conductive connection (9, 15, 16) between the cooling elements (4, 18, 19) and at least one carotid artery of the warm-blooded animal.
