A milking arrangement for animals includes rotary platform (2), a driving mechanism (12) adapted to provide a rotary motion of the platform (2), milking stalls (3) adapted to house the animals (1) to be milked on the platform (2), a blocking system (11, 20, 25) for blocking selected milking stalls (3) on the platform (1) temporarily such that the animals (1) do not have access to the blocked milking stalls (3) during a period of time and the remaining non-blocked milking stalls will be used more frequently.