Keach has won numerous awards, including Obie Awards, Drama Desk Awards and Vernon Rice Awards. In the early 1980s, he starred in the title role of the national touring company of the musical "Barnum", composed by Cy Coleman. In 1991 and 1996 he won Helen Hayes Awards for Outstanding Actor for his work in "Richard III" and "Macbeth" with the Shakespeare Theatre Company. In 1998, he was one of the three characters in a London West End production of Art with David Dukes and George Wendt.