Freudenthal was re-elected to his second term on November 7 , 2006 , and announced on March 4 , 2010 , that he would not attempt to seek a third term as Governor of Wyoming . A Democrat , he was reelected to his second term on November 7 , 2006 , and announced on March 4 , 2010 , that he would not attempt to seek a third term as Governor .