
Greene was a native of Nashville, North Carolina. He graduated from Shaw University and then enrolled in the law school at the University of North Carolina at Chapel Hill. He was the only African American in his class at the law school. After serving in the Korean War, he returned to Chapel Hill to complete his law degree. After being admitted to the bar in 1957, he practiced law for 17 years before being elected a judge in 1974. He retired from the bench in 1995.

