Bedford is a home rule-class city in Trimble County, Kentucky, in the United States. The population was 599 at the 2010 census. It is the county seat of Trimble County.
It is located at the junction of U.S. Routes 42 and 421. The town was founded in 1816 and first incorporated in 1850. Following its loss of city status, it was reincorporated in 1946.
Bedford is located at 38°35′31″N 85°19′02″W.
According to the United States Census Bureau, the city has a total area of 0.4 square miles (1.0 km2), all land.
At the 2000 census there were 677 people in 282 households, including 183 families, in the city. The population density was 1,690.3 people per square mile (653.5/km2). There were 297 housing units at an average density of 741.5 per square mile (286.7/km2). The racial makeup of the city was 97.93% White, 0.15% African American, 1.77% from other races, and 0.15% from two or more races. Hispanic or Latino of any race were 2.36%.
Of the 282 households 35.8% had children under the age of 18 living with them, 40.4% were married couples living together, 20.6% had a female householder with no husband present, and 35.1% were non-families.