Device for equipping containers with glued labels, comprising: - holders for the containers, which holders circulate on a transport means and can rotate themselves; - a supply unit for supplying a label tape; - a cutting apparatus comprising a rotor and comprising a rotatable counter-cutting cylinder, for dividing the label tape into label segments by means of transverse perforation; and - a rotatable application cylinder by means of which the label tape can be placed on the containers circulating on the transport means, characterised in that the holders can be rotated in a controlled manner in such a way that, in relation to the conveying movement of the label tape, they move faster than the application cylinder during and/or after the placement of a leading label segment, in order to tear off the label segment at a transverse perforation and transfer it to a container, the counter-cutting cylinder is designed as a transfer cylinder for transferring the label tape in contact with the side thereof that is glued or is to be glued, and the cutting apparatus is designed in such a way that at least one cutting edge which is formed on the rotor and interacts with the transfer cylinder is moved tangentially together with the label tape running over the transfer cylinder. - holders for the containers, which holders circulate on a transport means and can rotate themselves; - a supply unit for supplying a label tape; - a cutting apparatus comprising a rotor and comprising a rotatable counter-cutting cylinder, for dividing the label tape into label segments by means of transverse perforation; and - a rotatable application cylinder by means of which the label tape can be placed on the containers circulating on the transport means, characterised in that the holders can be rotated in a controlled manner in such a way that, in relation to the conveying movement of the label tape, they move faster than the application cylinder during and/or after the placement of a leading label segment, in order to tear off the label segment at a transverse perforation and transfer it to a container, the counter-cutting cylinder is designed as a transfer cylinder for transferring the label tape in contact with the side thereof that is glued or is to be glued, and the cutting apparatus is designed in such a way that at least one cutting edge which is formed on the rotor and interacts with the transfer cylinder is moved tangentially together with the label tape running over the transfer cylinder. characterised in that the holders can be rotated in a controlled manner in such a way that, in relation to the conveying movement of the label tape, they move faster than the application cylinder during and/or after the placement of a leading label segment, in order to tear off the label segment at a transverse perforation and transfer it to a container, the counter-cutting cylinder is designed as a transfer cylinder for transferring the label tape in contact with the side thereof that is glued or is to be glued, and the cutting apparatus is designed in such a way that at least one cutting edge which is formed on the rotor and interacts with the transfer cylinder is moved tangentially together with the label tape running over the transfer cylinder.