Tichenor was a member of the Federalist Party; when that party dominated the federal government in the 1790s many leading politicians in Vermont joined the Democratic-Republican Party and opposed a strong federal government at the national level. Despite dominating the Governor's office for a decade, Tichenor's elections reflected the decline of the Federalist Party as a whole, as he won by increasingly narrow margins. After his last consecutive victory in 1806, he lost in 1807, won narrowly won 1808, and lost in 1809, 1810, and 1817 by increasing margins.