Bedford is a home rule-class city in Trimble County, Kentucky, in the United States. The population was 677 at the 2000 census. It is the county seat of Trimble County.It is located at the junction of U.S. Routes 42 and 421. It was named for Bedford, Virginia, former home of the first settler, Richard Bell, who built a house near what he called Bedford Spring in 1805. The town was founded in 1816 and first incorporated in 1850. Following its loss of city status, it was reïncorporated in 1946.