A transport device for transporting containers with a plurality of pucks, each designed for receiving a container and for standing transport of the container, the transport device having an intermediate starwheel and a container lifting device to adjust the vertical position of the containers, and the transport device permitting the containers to be transported by the pucks to an inlet of a treatment machine and away from an outlet of the treatment machine. The container lifting device of the transport device is integrally formed with or attached to the intermediate starwheel and is formed and arranged in operation such that it lifts the containers, for removing the containers from the pucks, before they pass through a treatment section of the treatment machine and lowers the containers, for inserting the containers into the pucks, after they have passed through the treatment section.