Cove is a town in Polk County, Arkansas, United States. The population was 382 at the 2010 census. According to the United States Census Bureau, the town has a total area of 4.5 km², all land. As of the census of 2000, there were 383 people, 150 households, and 102 families residing in the town. The population density was 85.5 people/km². There were 1…Cove is a town in Polk County, Arkansas, United States. The population was 382 at the 2010 census. According to the United States Census Bureau, the town has a total area of 4.5 km², all land. As of the census of 2000, there were 383 people, 150 households, and 102 families residing in the town. The population density was 85.5 people/km². There were 181 housing units at an average density of 40.4 units/km². The racial makeup of the town was 94.78% White, 3.92% Native American, 0.26% from other races, and 1.04% from two or more races. 1.04% of the population were Hispanic or Latino of any race.