A riveting device for mutual assembly of two parts each including a bore, where the device includes a non-deformable external rivet having a tubular body suitable for being inserted into said bores and provided on one of the longitudinal ends thereof with a lip, and an internal rivet having a solid deformable cylindrical body and issuing substantially perpendicular from a flange, said tubular body having an external diameter slightly less than the diameter of said bores and a length D between the rear face of the lip thereof and the opposite end thereof at most equal to the sum of the thicknesses of the parts, said cylindrical body having an external homothetic transverse cross-section slightly less than the internal transverse cross-section of the tubular body, and a length slightly greater than that of the tubular body.