Born in Memphis, Tennessee in 1919, his singing at age 12 caught the attention of Lucie Campbell, who arranged for him to join her Good Will Singers quartet. After touring with them, he studied classical music in New York and London, where he lived for six years. For a number of years he gave classical concerts singing German Lieder, although he recorded none of his classical repertoire. He recorded his first record with Apollo Recordsin 1950. Apollo 211's sides were "Didn't My Lord Deliver Daniel" and "If Jesus Had to Pray." At the same session for Apollo, Bradley recorded the unreleased "Must Jesus Bear the Cross Alone," "Poor Pilgrim of Sorrow, Lord Hear my Plea," and a magisterial reading of "He's Got the Whole World in His Hands." Twelve years later Bradley recorded lp's for Battle Records (1962), Decca Records (1965) and Nashboro Records (1974). In 1997, he recorded several cuts for Tony Heilbut's collection All God's Sons & Daughters: Chicago Gospel Legends, which Heilbut's Spirit Feel label released in 1999. When Lucie Campbell died, he took her position as National Baptist Convention director of music. In 1975, he was knighted in Liberia.