A filling device (100) for filling a container (1) with a liquid has a filling duct (15) which is connected to a storage tank. On a carrying means (10) there are arranged a deformable tube (20) which forms a throttle portion (22) in the duct (15), and a squeezing means (30) which is arranged along the tube and which is adapted to act on the sides of the tube (20) and which, when operated to close the duct, is adapted to move countercurrently to generate a subatmospheric pressure in the duct (15) downstream of the squeezing means (30). The filling device also has a meter for measuring a discharged amount of liquid. In a method of filling the container, the duct (15) opens by the squeezing means (30) being moved from a squeezing position and the amount of liquid transferred to the container (1) being measured, whereupon the squeezing means (30) is returned to the squeezing position, the squeezing means being moved countercurrently to generate a subatmospheric pressure in the duct (15) downstream of the squeezing means (30).