Abstract: In accordance with this invention, there is provided an elastomeric stopper for a medication container, the stopper being adapted to be pierced by a hypodermic needle or used in conjunction with standard luer nozzle fittings. In a preferred embodiment the stopper comprises an elastomeric plug adapted to make a friction fit in an opening of the medication container, the plug having an exterior surface, the exterior surface of the plug comprising a tear-away member formed integrally with the plug, the interior surface of the plug having a blocked passageway which opens away from the exterior surface of the plug and defines a conical taper, the passageway being blocked by the tear-away member. The tear-away member defines opposite faces of a thin diaphragm formed integrally with the plug, the diaphragm being of a thickness which permits the diaphragm to be ruptured by inserting a hypodermic needle therethrough.