Stony Point is a census-designated place (CDP) in Alexander and Iredell counties in the U.S. state of North Carolina. The population was 1,317 at the 2010 census. It is part of the Hickory - Lenoir - Morganton Metropolitan Statistical Area.GeographyStony Point is located at .According to the United States Census Bureau, the CDP has a total area of 7.7sqkm, of which 0.02sqkm, or 0.30%, is water.DemographicsAs of the census of 2000, there were 1,380 people, 552 households, and 399 families residing in the CDP. The population density was 462.5 people per square mile (178.8/km²). There were 601 housing units at an average density of 201.4 per square mile (77.9/km²). The racial makeup of the CDP was 92.03% White, 3.77% African American, 0.72% Native American, 2.03% from other races, and 1.45% from two or more races. Hispanic or Latino of any race were 3.19% of the population.