A milking apparatus comprises a teat cup (2) with a liner (3), means (6-8, 9-11, 13-15) for subjecting the interior of the liner to a pressure which is lower than atmospheric pressure, and for subjecting the pulsation chamber (5) formed between the teat cup and the liner to a pulsating pressure varying between a low pressure and a high pressure, which high pressure is higher than the pressure in the interior of the liner. Means are provided (12, 16, 18) for controlling the respective pressures i...

In a method of milking an animal by using a milking machine having at least one teat cup (4) with a liner (5) and a pulsation chamber (6), the milking machine is operated to pressurize the pulsation chamber, such that during each pulsation the liner opens and/or closes at a slower rate during the beginning and/or ending periods (I, III, IV) of the milking operation than during the main milk extracting period (II) of the milking operation.