The invention relates to a device for filling a container with solid particles, the device having annular ducts for passing particles, which ducts are defined by a plurality of vertical nozzles arranged coaxially relative to one another, and a diaphragm arranged upstream from the annular ducts for regulating the flow rate of particles in the annular ducts, the diaphragm has a plurality of shutter flaps for shutting off the annular ducts, each flap shutting off an angular sector of a single annular duct and the diaphragm having control means for controlling movement of the shutter flaps that are configured to be capable of partially shutting off any one of duct independently of the other ducts. The invention also relates to a method of shutting off a filler device.