A packaging machine and method for filling bulk materials into packages with a rotatable machine frame and a plurality of circumferentially arranged filling spouts. During frame rotation, bulk materials are filled into packages. A machine silo is configured at the machine frame which has a storage volume for storing a quantity of bulk materials for filling a plurality of packages. Bulk materials are filled into the attributed packages from the silo through the filling spout. The machine silo is connected with a material supply with a controllable closing member for feeding bulk materials to the machine silo. A controller controls the closing member of the material supply dependent on the fill level to reduce the height of fall of the bulk materials being fed into the silo, or to avoid a free fall of the bulk materials during the feeding of bulk materials into the machine silo.