This disclosed invention is a composite closure for a hermetically sealed container consisting of an elastomeric liner cap and a metal convenience opening outer cap. The liner cap has a central vent aperture and surrounding the vent the outer surface of the liner cap is adhesively attached or bonded to the metal cap in an annularly banded area. In a pressure package, the sealed area around the vent is pressurized and upon opening, the tearing action of the tear strip device of the outer cap also separates the bond of the adhered band venting the container to atmosphere. In vacuum packages, the opposite is true, i.e. the area inside the bonded band is vacuumized and upon tear strip opening, the container is vented to atmosphere to release the vacuum.