Y-connector for medical lines, comprising a tubular body (1) provided with a first inlet (2) coaxial to the tubular body (1) and containing a valve device formed by an elastic element (6), and a second inlet (4) arranged obliquely to the tubular body (1) and communicating therewith between the first inlet (2) and the outlet (3). The tubular body (1) is formed with an inner septum (10) for deviating the flow coming from the second inlet (4) towards the hollow elastic element (6) prior to directing it to the outlet (3).