Harris was born in Richmond, Virginia. Early in his career, Harris sang with groups such as The Charmers, The Teenagers, The Jarmels, and Nat Turner’s Rebellion, which also featured his songwriting brother, Joseph B. Jefferson, and recorded a few solo 7″ records on the Laurie and Okeh labels. In the early 1970s, he took over from Randy Cain as a member of The Delfonics; he quit the group to go solo in 1974. Signing with Atlantic Records, Harris scored a string of R&B hits in the United States, including the Top Ten single “Love Won’t Let Me Wait”, which peaked at #5 in the US Billboard Hot 100 chart and #37 in the UK Top 50. Written by Bobby Eli and Vinnie Barrett, “Love Won’t Let Me Wait” was awarded a gold disc by the R.I.A.A. on 25 June 1975.
When his success as a soloist subsided, Harris returned to the Delfonics, and continued to tour with one of two touring ensembles that used the name in the 1990s and 2000s. Major was a cousin to the late Philadelphia record producer and arranger, Norman Harris.
Harris died in a Richmond, Virginia hospital from congestive heart and lung failure at the age of 65