A valve connector (1) for medical lines comprising a tubular body (2) having a male inlet fitting (3) with external luer cone (14), which can be coupled to a female tubular fitting (5) with internal luer cone (8). The inlet fitting (3) comprises an internally threaded external tubular element (10) for screwed engagement with the female fitting (5), and an internal tubular element (12). The internal tubular element can be displaced axially from a retracted position of closing to an advanced position of opening the valve means that control the passage of flow through the connector (1). The internally threaded external tubular element (10) is free to turn with respect to the internal tubular element. The arrangement is such that when the threaded tubular element is screwed off the female fitting (5) the passage of flow is closed by the valve means while the external luer cone (14) and the internal luer cone (8) remain axially coupled to one another by friction.
