The invention relates to a connector for medical liquid-containing packages,in particular to infusion or transfusion bags comprising a connection element(1) provided with a channel-shaped opening (1c) in which a self-sealingmembrane (8) is arranged. A breakable part (17) which is connected to theconnection piece closes the channel-shaped opening. Above the membrane (8),said connection element is embodied in the form a connection piece (13)comprising an internal cone (14) and external thread (15), the membrane (8)being sealed for receiving a syringe cone shaft. The inventive connector makesit possible to inject an active substance by means of a conventional Luer locksyringe devoid of an injection cannula (needle).