La Grange is located at . According to the United States Census Bureau, the city has a total area of, of which are land and is covered by water. An unusual feature of La Grange is the CSX Transportationstreet-running mainline track on Main Street.
As of the census of 2010, there were 8,082 people, 2,964 households, and 2,087 families residing in the city. The population density was 1131.4 people per square mile. There were 3,189 housing units at an average density of 446.4 per square mile. The racial makeup of the city was 87.3% White, 4.7% African American, 0.27% Native American, 0.62% Asian, 0.16% Pacific Islander, 4.6% from other races, and 2.3% from two or more races. Hispanics or Latinos of any race were 8.9% of the population. There were 2,964 households out of which 43.1% had children under the age of 18 living with them, 49.9% were married couples living together, 15.5% had a single female householder, 5.1% had a single male householder, and 29.6% were non-families. 25.3% of all households were made up of individuals and 11.5% had someone living alone who was 65 years of age or older. The average household size was 2.65 and the average family size was 3.17. The age distribution was 29.8% under 18, 7.2% from 18 to 24, 30.4% from 25 to 44, 20.4% from 45 to 64, and 11.7% who were 65 or older. The median age was 33.8 years. For every 100 females, there were 92.7 males. For every 100 females age 18 and over, there were 86.6 males.
Correctional facilities
The Kentucky Department of Corrections maintains four correctional facilities in La Grange. Construction began on the Kentucky State Reformatory, the largest prison in the state, in 1937, with the prison opening in 1939. Roederer Correctional Complex, which houses the Assessment and Classification Center where male inmates not sentenced to death enter the state prison system, was built in 1976. The Luther Luckett Correctional Complex and Kentucky Correctional Psychiatric Center, both built in the same facility but technically two separate prisons, opened in 1983. Approximately 4,000 inmates of various security levels are housed at these institutions.
The La Grange historic district contains numerous small businesses such as shops, eateries, and art galleries. Discover Downtown La Grange is a nonprofit organization dedicated to promoting business, history, and community in the city. La Grange hosts a Farmers and Artisan Market, a Kentucky Proud Market, where locally made items are sold. The market is open from mid-May through late October.
Clark McAllister, the main character in the historical novel A Witness to Gallantry, An American Spy in Poland 1939 is from La Grange, Kentucky and one chapter of the novel briefly involves the town as it was in 1939.