Norfork is a city in Baxter County, Arkansas, United States. The population was 550 at the 2010 census. According to the United States Census …Norfork is a city in Baxter County, Arkansas, United States. The population was 550 at the 2010 census. According to the United States Census Bureau, the city has a total area of 2.5 square miles, of which 2.2 square miles is land and 0.3 square miles is water.