Benham is a home rule-class city in Harlan County, Kentucky, in the United States. The city was formally incorporated by the General Assembly in 1961. The population was 500 at the 2010 census.GeographyBenham is located at .According to the United States Census Bureau, the city has a total area of 0.4sqmi, all of it land.DemographicsAs of the census of 2000, there were 599 people, 248 households, and 181 families residing in the city. The population density was 1,519.2 people per square mile (593.0/km²). There were 288 housing units at an average density of 730.4 per square mile (285.1/km²). The racial makeup of the city was 88.81% White, 9.85% African American, 0.33% Native American, 0.17% Asian, 0.33% from other races, and 0.50% from two or more races. Hispanic or Latino of any race were 0.50% of the population.There were 248 households out of which 31.0% had children under the age of 18 living with them, 59.3% were married couples living together, 9.7% had a female householder with no husband present, and 27.0% were non-families. 26.6% of all households were made up of individuals and 19.4% had someone living alone who was 65 years of age or older. The average household size was 2.42 and the average family size was 2.88.