A method for continuously replicating a hologram by a device having a coating module, a lamination module, an exposure module and a fixing module involves coating a first carrier film with a liquid photopolymer using the coating module, applying a second carrier film to the coated first carrier film using the lamination module to obtain a photopolymer composite including a liquid photopolymer layer between two carrier films, bringing a region of the photopolymer composite in contact with an axially rotatable master element including a master hologram to be replicated in the exposure module, and exposing the region of the photopolymer composite to a light source, such that the master hologram is replicated on the photopolymer composite, and curing a replica hologram contained in the liquid photopolymer in the fixing module.