An apparatus for the longitudinal stretching of a film web includes at least one heater in which the film web can be heated, at least one cooling device in which the film web can be cooled, and at least a stretching unit in which the film web is stretched in its longitudinal direction. The stretching unit has a first transport roller having a first peripheral speed in the stretching operation, followed by a second transport roller having a second peripheral speed along the transport path of the film web from the first transport roller, with the second peripheral speed being greater than the first transport roller speed. The apparatus includes a pressing device with which the film web is pressed against the first transport roller along a line which is in the area of the release line of the film web from the first transport roller.