A device, and related method for controlling the device, for labeling containers with a container conveyor, having at least one container rotation device to rotate a container in a first direction about an axis, in a second direction about this axis in the opposite direction or not to rotate this container, with at least two labeling stations each with a labeling assembly and a pressing-on device, with a control device generating control commands for the container rotation device based on activity information of the labeling stations. In the region of an inactive labeling station, the container rotation device is rotated in the first direction, so that a container of the container rotation device can roll onto the pressing-on device and in the region of an active labeling station, the container device is rotated in the second direction, so that a label applied to the container can be pressed on.