Valved male luer connector including an elastic hollow element (12) enclosing a tubular member (6) having an inlet portion (7) and an outlet portion (8). A collar (19) is axially displaceable to cause a stretching deformation of the elastic hollow element (12) and open the flow passage between the inlet portion (7) and the outlet portion (8) of the tubular member. The inlet portion (7) is rotatable with respect to the casing (1) in both directions of rotation.