Abstract: A method of connecting a pipe to a pressure conveying element, especially a pipe plate, a pressure container, and a collector, according to which the pressure conveying element is within the region of its intended connection with the pipe provided with lips. After the pipe provided on its inside and outside with a lip has been introduced into the pressure conveying element, the pipe is at its outer lip connected to the lip of the element by a complete through weld. Subsequently a centering bushing is introduced into the pipe and is clamped therein so that the outer surface of the centering bushing together with the inner surface of a bore in the conveying element--which bore is substantially coaxially arranged with regard to the pipe--forms a flat annular trough, whereupon the space between the outside surface of the centering bushing and the inner surface of the trough is filled with welding material.