The invention relates to a connecting device, which connects two cylindrical parts at a junction surface (42) and is suitable for connecting an engine of an aircraft nacelle and an air intake pipe. The connecting device has multiple through holes (38, 44) which are formed in parts to be connected and are perpendicular to the junction surface. The junction surface (42) is provided with holes arranged in a straight line. Each of connection elements (46) in the through holes (38, 44) has a rod portion (48) having ends provided with supports (50, 52), so as to keep the parts to be connected in a bonded manner. The connecting device is characterized in that each of the through holes (38, 44) at least has a reduced section adjusted to a section of the rod portion (48) near the corresponding support (50, 52), and a section with a large clearance at the junction surface (42) so that the rod portion (48) is subjected to weak shearing forces at the junction surface during relative deformation of the connection parts.