Abstract: In wrapping palletized loads with stretchable film having an elastic memory, when the wrapping is about completed, a distancing device is placed close to the wrapped load on which the last wrapping turn rests, so that a pocket is formed in the turn. The carriage of the wrapping machine is stopped in a predetermined angular position and the film tail is aligned and placed in a main clamp and a secondary clamp. Subsequently, a cutting device cuts the film between the two clamps, and the main clamp holding the leading end coming from the wrapping machine carriage moves backward at rest. The other clamp holding the tail end is introduced into the pocket and then opens and is drawn out from the pocket together with the distancing device , so that the wrapping tail gets caught and blocked by friction in the last turn which shrinks flat.