Abstract: A wrapping machine for winding a web (1) of wrapping film from a roller (2) around an object to be packaged. The wrapping machine has a film dispenser (3) which comprises a frame (4) provided with at least one guide means (5, 11) in contact with the first side (1.sup.1) of the film 1 to guide the film; an openable gate section (7) provided with at least one guide means (8, 12) which is in contact with the opposite side (1.sup.2) of the film relative to the first side, the gate section (7) being pivoted on the frame (4) so that it can be moved between an open position (I) and a closed position (II); and a pre-stretching device (10) for preliminary stretching of the film. The pre-stretching device comprises a first pre-stretching roller (11) and a second pre-stretching roller (12).