He was President and CEO of the EastWest Institute (EWI) in New York from 2015 to 2019, directing conflict resolution projects in Russia, China, the Middle East, South Asia, and the Balkans.

He is currently a senior fellow of the CEVRO UNIVERSITY in Prague and the Atlantic Council in Washington, and serves on a number of corporate and nonprofit boards.

A career Foreign Service Officer, Munter was Deputy Chief of Mission at the U.S. Embassy in Prague, Czech Republic, from August 2005 to June 2007.

His other domestic assignments include serving as Country Director for Czechoslovakia at the Department of State (1989–1991), Dean Rusk Fellow at Georgetown University's Institute for the Study of Diplomacy (1991), and Staff Assistant in the Bureau of European Affairs (1988–1989).

He retired from the diplomatic service in 2012 and taught international relations at Columbia Law School (2012) and Pomona College (2013–2015) before coming to EWI.