A closure cap (1) for a medical container (4), for example a medical bag or a medical bottle, which comprises an injection port (10) and a withdrawal port (30). The withdrawal port (30) is designed as a tapering cone (32) which reaches into the interior of the closure cap (1) and, in the region of its tip, has at least one predetermined breaking point (35) which can be opened by a customary spike. Furthermore, a sealing lip (40) is provided on a region on the inner surface of the cone (32), said sealing lip securing the closure cap (1) against the bag contents (5) escaping while the spike (50) is being driven in (51). In particular, the closure cap (1) can be used with various spikes (50), such as are customary in clinical-medical use.