Reveley received his A.B. from Princeton University in 1965. At Princeton, he was elected to Phi Beta Kappa and rowed on the lightweight crew for two years. Reveley went to law school at the University of Virginia, receiving his J.D. in 1968. During the United States Supreme Court's 1969 term, he clerked for Justice William J. Brennan, Jr.
Reveley has extensively studied and written about the constitutional division of the war powers between the President and Congress. In 1972-73, he spent 13 months studying the war powers while an International Affairs Fellow of the Council on Foreign Relations in New York City and a Fellow of the Woodrow Wilson Center for Scholars in Washington, D.C. He is the author of War Powers of the President and Congress: Who Holds the Arrows and Olive Branch? (University of Virginia Press, 1981).