The invention relates to a device (1) for labelling individual products (2), in particular packages or goods, with a feed device (3) for transporting a respective product (2) along a transporting path, with a label application device (4) with a blower head (5) for applying a label (6) to the surface of the product (2), wherein the blower head (5) has holding means (7) for fixing the label (6) in a blow-off position (II) and blow-off means (8) for producing a blast of compressed air directed in a blow-off direction (A) from the blow-off position (II) to the feed device (3), and with a label dispensing device (9) for providing a label (6) in a dispensing position (I). In order to precisely transfer labels (6) to a surface of a product (2) to be labelled in the simplest way possible the invention proposes that the label application device (4) comprises a conveying unit (11) for transporting the respective label (6) from the dispensing position (I) to the blow-off position (II), wherein the conveying unit (11) has a transporting element (12) and pressing force generation means (14). The invention also relates to a method of labelling individual products (2).