A connection between a drill pipe (1) made of carbon- or glass fiber-reinforced plastic and a tubular, preferably metal connector (2) that is partially held in one end (3) of the drill pipe (1) and is cemented to it is characterized in that a thrust element (8) that is positively connected to the connector (2) in the region of the end (3) of the drill pipe (1), in which the connector (2) is held, presses on the outside of the end (3) of the drill pipe (1).