Connection device for connecting an apparatus for medical use to an end unit of a distribution plant of compressed gases or of a vacuum distribution plant, wherein the connection device is adapted to be fixed to the end unit (14) by means of a bayonet clutch having a fixed part and a movable part, of which the end unit constitutes the fixed part, and wherein the connection device is of the type comprising a sleeve (18) having tubular body extended along a specific axis (X) between a first end (20) adapted to be associated with the end unit (14) and a second end (22) adapted to be associated with the apparatus for medical use (12) for the passage of the compressed gas or vacuum, and also having a fastening element (24) constituting the movable part of the bayonet clutch, and a handle element (26) associated with the fastening element (24). According to the invention, the fastening element (24) and the handle element (26) form a single body rotatably and idly mounted on the sleeve (18) and separately manoeuvrable with respect to the sleeve (18).