Avon is an unincorporated community and census-designated place in Dare County in the U.S. state of North Carolina. As of the 2010 census, it had a permanent population of 776. Avon is located on the North Carolina Outer Banks at latitude 35°21'7" North, longitude 75°30'39" West. The village is south of Salvo and north of Buxton on Hatteras Island. The …Avon is an unincorporated community and census-designated place in Dare County in the U.S. state of North Carolina. As of the 2010 census, it had a permanent population of 776. Avon is located on the North Carolina Outer Banks at latitude 35°21'7" North, longitude 75°30'39" West. The village is south of Salvo and north of Buxton on Hatteras Island. The United States Postal Service has assigned Avon the ZIP Code 27915.