Abstract: The device for milking animals, in particular cows, is provided with a teat cup (10, 10A, 10C, 10D) having an outer sleeve (12) and an elastic teat-receiving tube (30). The teat-receiving tube (30) abuts the ends (14, 16) of the outer sleeve (12) in an air-tight manner. The teat-receiving tube (30) is surrounded by an annular space (46) which is divided in axial extension into at least two or three annular chambers (48, 50) which are separated from each other in an air-tight manner by a partition wall (52). Each annular chamber (48, 50) is in fluid communication with a pneumatic line via which the respective annular chamber (48, 50) can be selectively and independently of the respective adjacent annular chamber (48, 50) subjected to negative and/or positive pressure and atmospheric pressure in accordance with a predeterminable time-dependent pulsation pattern.