Lockesburg is a city in Sevier County, Arkansas, United States. The population was 739 at the 2010 census.Lockesburg is located at 33°58′11″N 94°10′16″W / 33.96972°N 94.17111°W / 33.96972; -94.17111.According to the United States Census Bureau, the town has a total area of 3.5 square miles, all land.As of the census of 2000, there were 711 people, 276 households, and 197 families residing in the town. The population density was 201.1 inhabitants per square mile. There were 328 housing units at an average density of 92.8 per square mile. The racial makeup of the town was 92.55% White, 4.50% Black or African American, 2.25% from other races, and 0.70% from two or more races. 2.95% of the population were Hispanic or Latino of any race.There were 276 households out of which 37.3% had children under the age of 18 living with them, 56.2% were married couples living together, 10.9% had a female householder with no husband present, and 28.6% were non-families. 25.