Abstract: A connection element is provided and a process for connecting composite hoses is conducted in a weld-free, solder-free, as well as site-independent manner, which nonetheless leads to an outside pressure-tight interface. For this purpose, a composite hose having a spiral wound metal hose surrounded by an elastic outer casing is screwed onto a supporting sleeve having a terminal outer thread. The metal tube is then compressed axially so that the outer casing is exposed projecting beyond the end of the metal hose and is preferably fastened by pressing on a sealing surface arranged behind the outer thread. The pressing of the outer casing here does not impair the functional capacity of the wound metal hose, but nevertheless protects it from the surrounding medium, for example salt water.