Abstract: A machine for packing by wrapping a load (1) comprises a device for supplying a pre-drawn film (3) propelled with respect to a longitudinal axis (6) of the load (1) to be packed with a relative helicoidal movement, and a device for handling of the free end of the film (3) between two wrapping cycles in accordance with the invention comprises a plate (10) for holding of the film (3) against the load (1), the length of which is at least equal to the width of the film (3) used, and near one of the long edges of this plate (10), a pair of jaws (13, 14) mobile with respect to one another along this edge are provided to crumple and grip between them the portion of the film contained between the plate and the film-supply device.