A printing device for printing sheet elements (2) that are serially fed to the printing device, in particular product labels made of temperature-sensitive paper or paper substitute materials, comprises at least two separate feed devices (3a, . . . , 3f) for each liner strip (1) comprising the sheet elements (2), wherein each feed device (3a, . . . , 3f) comprises a peeling-off device (4a, . . . , 4f) for peeling the sheet elements (2) from the liner strip (1), and wherein the feed devices (3a, . . . , 3f) are associated with a print head (5a, . . . , 5f) with a thermal slat (6a, . . . , 6f) for printing a sheet element supported by a counterpressure surface (7a, . . . , 7f), and comprising an application device (8) for removing the printed sheet element from the print head (5a, . . . , 5f) and for applying the printed sheet element to a product.