William M. Green received his B.A. degree from John Hopkins University in 1963 and his M.D. at the Albert Einstein College of Medicine in 1967. He interned at Mount Zion Hospital and Medical Center in San Francisco and completed his residency at Columbia-Presbyterian Medical Center in New York City where he participated in an intensive diagnostic program which included nuclear medicine and ultrasound. From 1973-1976 he served as assistant professor of clinical radiology and associate director of the Division of Ultrasound at Columbia-Presbyterian Medical Center. Since 1976, he has been a member of Princeton Radiology Associates.

His teaching activities include lectures at the Thomas Jefferson School of Medicine in Philadelphia, the New York Roentgen Society and the New Jersey Institute of Ultrasound in Medicine. He has given seminars on the federal role in health care at three midwestern universities and has worked with students and faculty in the area of curriculum revision.

From 1980-1987, Dr. Green served as secretary of the New Jersey Institute of Ultrasound in Medicine. He was a member of the Radiography Advisory Commission at Mercer County Community College. He has also held the positions of president, secretary, and vice president of the Executive Committee and chairman of the Credentials Committee at University Medical Center at Princeton (UMCP). Since 1985, he has been a member of the Board of Trustees at UMCP and is a member of several professional committees. In addition, Dr. Green has presented a number of papers in the American Journal of Roentgenology, the Journal of Clinical Ultrasound, and the American Heart Journal.