An arrangement for connecting a tubular element to a body extending into the same using a tensioning ring, which, via its inner surface, embraces the outer wall of the tubular element, extends axially along the tubular element, and applies clamping forces thereto such that the tubular element acts via its inner wall on the body situated in the tubular element, clamping the same. The tensioning ring rests against the outer wall of the tubular element with only one axial partial section of its inner surface and exerts a clamping action thereon.