A transport device for transporting upright containers arranged in a single row, comprising a first clamping belt and a second clamping belt, between which the containers arranged in a single row are held and transported, and at least one first rotary cylinder and one second rotary cylinder, around which the containers held by the clamping belts are transported. The containers and the clamping belts are guided one after the other around the at least two rotary cylinders in such a way that the containers are each pressed against the respective rotary cylinder by the radially outer clamping belt.