A method and an apparatus are described for producing a volume transmission hologram and/or a volume reflection hologram from a film (10) having a backing foil (12) and a holographic layer (14). In said method, the film (10) is guided over a drum (18), on which the film (10) is brought in contact with the master hologram (22). The master hologram (22) and the film (10) are simultaneously moved through an exposure zone (20). In the exposure zone (20), the film (10) and the master hologram (22) are irradiated with a linearly expanding exposure laser beam (32) in order to reproduce the master hologram (22) in the photopolymer layer (14). Both volume reflection and volume transmission holograms can be produced in the polymer layer (14) of the film (10) that is guided over the drum by means of only one drum (18). For this purpose, two master holograms (22, 22′) are or can be associated with the drum and are moved in synchrony therewith while lying thereon, the film (10) being located radially below the first master hologram (22) and/or radially above the second master hologram (22′).