Brauntuch has exhibited his art work at the 2006 Whitney Biennial, and in 2000 at the Modern Art Despite Modernism exhibit at The Museum of Modern Art. His work was in two group shows in 1982: documenta 7, Kassel and the Venice Biennale. In 1977, his work was in the Pictures exhibition at Artists Space.
- 2010 Guggenheim Fellowship 
- National Endowment for the Arts Grants
- 1999 Joan Mitchell Foundation Grant
- Auping, Michael (2014). New york in the 1980's : urban theater. [S.l.]: Skira. ISBN 9780847844548.
- "TROY BRAUNTUCH", Art in America, Ara H. Merjian, 12/3/09
- "Darkness Rising", The New Yorker, Andrea K. Scott, October 12, 2009