Elements for connecting a first end selection (3) of pipe elements to a second end selection (4) of pipe elements, the connecting elements including a sealing joint (20) interposed between the end faces (7, 8) of the first and second end sections and fixing elements (32, 44) which are mounted on the first and second end sections and are coupled to first and second axial abutting elements along the first and second end sections in order to hold the above together and compress the sealing joint between them. The first axial abutting elements include an external shoulder (9) formed on the first section near the end face and the second axial abutting elements include a fixed dowel (50) provided with elements (51)for axial fixing thereof along the second end section.