A rotary parlour for milking of animals, comprising an annular rotary platform (20) adapted to form a support surface (18) for the animals (22), and teat cup storing devices (11) for holding parked teat cups (2, 2') in predetermined storing positions. The teat cup storing devices (11) are arranged in positions such that an animal (22) standing in a milking position has a teat cup storing devices (11) on each side and that at least one teat cup (2') from each of the storing devices (11) arranged on the different sides of the animal (22) are adapted to be attached to said animal (22), the teat cup storing devices (11) are adapted to hold the teat cups (2, 2') in storing positions such that an end surface (2a) of the teat cups comprising a recess for receiving a teat of an animal (22) is located at a lower level than an opposite end surface (2b) of the teat cups.
