A film stretching system having the following features: a stretching oven having a plurality of treatment zones through which a plastic foil film can be guided from a feed side to an outlet side through the stretching oven in the drawing-off direction, supply air can be supplied to the respective treatment zone and exhaust air can be discharged therefrom, the ventilation system for the treatment zones is constructed in such a way that exhaust air extracted from the last treatment zone in the drawing-off direction of the plastic foil film is supplied to at least two upstream treatment zones in the drawing-off direction of the plastic foil film, wherein a volume fraction of the exhaust air extracted from the last treatment zone is supplied to only one of the at least two treatment zones and another volume fraction is supplied to only one other of the at least two treatment zones.