The invention relates to a milking arrangement for animals. The milking arrangement comprises a rotary platform (2), driving means (12) adapted to provide a rotary motion of the platform (2), and milking stalls (3) adapted to house animals (1) to be milked on the platform (2). The milking arrangement comprises a blocking system (11, 20, 25) which is able to block selected milking stalls (3) on the platform (1) temporarily such that the animals (1) do not have access to the blocked milking positions (3) during a period of time.