Yes, Ben Shalom Bernanke is a Jew.
He was named "Person of the Year" for 2009 by Time magazine, which said about him, "He didn't just reshape U.S. monetary policy; he led an effort to save the world economy."
Bernanke has been Chairman of the Board of Governors of the United States Federal Reserve since February 1, 2006.
Bernanke was born December 13, 1953, in Augusta, Georgia, and grew up in Dillon, South Carolina.
His family, one of the few Jewish families in the area, attended a local synagogue called Ohav Shalom. As a child, Bernanke learned Hebrew from his maternal grandfather Harold Friedman, who was a professional Torah reader and Hebrew teacher.
His paternal grandfather, Jonas Bernanke, immigrated to the United States from Austria after World War I and moved to Dillon from New York in the 1940s. (Reposted.)