A connection device, to connect two ends of respective ducts to another flexible duct in the field of the peritoneal dialysis including a closed container containing two nozzle-like terminal ends of a Y-shaped branch of a flexible duct a removable connection member configured to be engaged/disengaged on the closed container, containing the ending portions of the respective ducts shaped to couple/uncouple with the nozzle-like terminal ends, a distal end of the container and the connecting member are shaped to couple according to a guiding scheme with prismatic joint a closure with mobile walls on the closed container is actuated in opening and closing by the contact of a projecting septum of the connection member upon the connection/disconnection between the closed container and the connection member and a closure with removable tear film arranged at the ending portions of the ducts to close the respective sections opened inside the connection member.