A pipe coupling for connecting pipes having unprofiled end sections includes an elastomeric sealing gasket for holding the unprofiled pipe end sections in a sealed manner. A clamping clip surrounds the sealing gasket. The clamping clip includes a clip strap having a first end and a second end. A first clamping jaw is formed at the first end. A second clamping jaw is formed at the second end. The clamping jaws are drawn together by a tensioning device. The clip strap has radially inwardly directed projecting flanges on each of its axial ends. A first C-shaped clamping ring and a second C-shaped clamping ring are each disposed between the sealing gasket and one of the flanges. Each of the C-shaped clamping rings are supported on a radially inner side of the clip strap. Each of the C-shaped clamping rings have projections projecting from its radially inner face and, when said clip strap is tensioned, the projections of the C-shaped rings engage in the pipe material. The clamping rings are substantially made of plastic and approximately fill the space between the sealing gasket and one of the flanges. The clamping rings may be formed as a single part or from two ring parts. If formed of two parts, the radially inner part may be made of a brass alloy. The projections may be formed as encircling ribs.