Abstract: In order to be able to simultaneously fill with a liquid, gaseous or solid flowable medium, without it being necessary to measure and monitor the filling volume or weight of each container, the filling plant has a pipeline system (10) for conveying the medium to be filled with a plurality of drawing-off lines (13, 113, 213) leading to the filling valves (20, 120, 220) and in which are arranged volume chambers (40, 140, 240) with rotors rotated by the medium flowing through the same, arranged jointly on a shaft (40) with a system pressure-dependent controlled brake (45). A balance (50) is only associated with a single filling valve (20) of the valves controlled by a control cylinder (25) and is used for controlling said cylinder (25). A feed pump (15) connected upstream of the filling valve (120) associated with balance (50) ensure a uniform exit velocity of the medium in the container when pressure fluctuations occur in the pipeline system (11, 13, 113, 213).