Branch is a city in Franklin County, Arkansas, United States. It is part of the Fort Smith, Arkansas-Oklahoma Metropolitan Statistical Area. Th…Branch is a city in Franklin County, Arkansas, United States. It is part of the Fort Smith, Arkansas-Oklahoma Metropolitan Statistical Area. The population was 367 at the 2010 census. Branch is located in southwestern Franklin County at the junctions of Arkansas Highways 22 and 41. Highway 22 leads east 5 miles to Caulksville and west 5 miles to Charleston, while Highway 41 leads north 10 miles to Cecil and south 14 miles to Booneville. Fort Smith is 28 miles to the west.