The play is by Australian writer Andrew Upton, husband of Hollywood star Cate Blanchett. The production will star Scottish actor John Hannah, whose films include "Four Weddings and a Funeral" and "The Mummy" series.
Hoffman is co-artistic director of New York's LAByrinth Theater Company. He won a best-actor Oscar in 2006 for "Capote."
Producers announced Friday that "Riflemind" will open September 18th at London's Trafalgar Studios.