From 1999 to 2010, he served as the "Coordinator of German-North American Cooperation" at the Foreign Office of Germany. He is a board member of the Atlantik-Brücke, an association which promotes German-American understanding.
From 1960–1969 Voigt studied history, German, and Scandinavian languages and literature at the universities in Hamburg, Copenhagen, and Frankfurt. From 1969–1972 he was chairman of the Jusos. In 1976 Voigt was elected to the Bundestag for the first time. In 1983, the SPD caucus made him their foreign policy spokesman; he held this office until leaving the parliament in 1998.