Bryson is a city in Jack County, Texas, United States. As of the 2020 census, its population was 430. Bryson is located in western Jack Co…Bryson is a city in Jack County, Texas, United States. As of the 2020 census, its population was 430. Bryson is located in western Jack County and is situated 14 miles southwest of Jacksboro, the county seat, along U.S. Highway 380. US 380 continues southwest 13 miles to Graham, the county seat of Young County.