His principal areas of research are on political behavior in the United States, Canada, and the former Soviet Union, public policy and methodological work on scaling and dimensional analysis.
When he became President of the American Political Science Association, a number of his colleagues and co-authors contributed to his presidential biography entitled "Henry Brady, Big Scientist," discussing his work and the fields to which he has contributed and has also shaped.
He attended Union Theological Seminary for a year, assisted by a fellowship, then entered the doctoral program at Massachusetts Institute of Technology.
Earlier he directed the University of California Data Archive and Technical Assistance (now D-Lab) from 1992 to 2009, and served on its governing board.
His work on voting systems includes involvement with the 2000 presidential election in Florida, Butterfly Ballot Case,[8][9] and the 2003 efforts to get rid of punch card ballots, where he worked with the American Civil Liberties Union in California and Illinois to challenge their use.