Alexander Blackburn Bradford (June 2, 1799 - July 10, 1873) was a prominent Confederate politician. He was born in Jefferson County, Tennessee and served in the Tennessee state legislature in 1837. He later moved to Mississippi, where he also served in the legislature. Was a Major in the United States Army in the Mexican War. Represented Mississippi in the Provisional Confederate Congress from December, 1861 to February, 1862, replacing Alexander Mosby Clayton, who had resigned.