Green was born in Salt Lake City, Utah.
He received a Bachelor of Arts degree from the University of Utah in 1952.
He attended the University of Utah College of Law and received a Juris Doctor in 1955.
Greene was in private practice in Salt Lake City for much of the period from 1955 to 1985, and.
[1] On March 7, 1985, Greene was nominated by President Ronald Reagan to a new seat on the United States District Court for the District of Utah created by 98 Stat.