The invention relates to a rotary parlour for the milking of animals. The rotary parlour comprises a platform (3), a circular rail member (10) connected to a lower surface of the platform (3) and a plurality of rolling members (11) having a wear surface (11') adapted to be in contact with a wear surface (10b") of the rail member (10). The rail member (10) comprises a first part (10a) connected to the platform (3), a second part (10b) comprising the wear surface (10b") and a connection arranged between the first part (10a) and the second part (10b) of the rail member. The connection is adapted to allow angular tilting movements between the first part (10a) and the second part (10b) of the rail member (10).