Abstract: The present invention relates to a machine for filling bags with a granular product comprising a filling station, a welding station, and a cooling station. The machine comprises a supporting device for supporting the bags below the stations. The device comprises a supporting surface assembled in a pivoting manner on a pivot shaft, and actuating means. The supporting surface has a first supporting segment for supporting the bags of the filling and welding stations on one side of the pivot shaft and a second segment for supporting the bag of the cooling station on the opposite side of said pivot shaft. The supporting surface can pivot in an alternating manner around said pivot shaft for moving the base of the bag which, in operation, is located in the filling station during filling. The invention also relates to a filling method.