In the case of a pipe connection for connecting a first pipe end (1) to a second pipe end (6), with a sealing ring (13) sealing the intermediate space between the pipe ends (1, 6), and a tensible pipe clamp (14) which fits over the pipe ends (1, 6) and in which a toothed anchoring ring (9) is mounted, said anchoring ring pressing the toothed inside (10) of the anchoring ring (9) against the surface of an associated pipe end (6) when the pipe clamp (14) is tightened, simplified handling and a high compressive strength are achieved in that the first pipe end (1) is widened in a sleeve-shaped manner such that the second pipe end (6) can be pushed into the widened portion (2), in that the pipe clamp (14) has an internal contour which fits over the sleeve-shaped widened portion (2) of the first pipe end (1) in a form-fitting manner counter to a pull-out direction (A1) for releasing the pipe ends (1, 6) from each other, and in that the anchoring ring (9) is positioned to bear only against the second pipe end (6).