Kavieng is the capital of the Papua New Guinean province of New Ireland and the largest town on the island of the same name. The town is loc…Kavieng is the capital of the Papua New Guinean province of New Ireland and the largest town on the island of the same name. The town is located at Balgai Bay, on the northern tip of the island. As of 2009, it had a population of 17,248.