The drama, written by Jez Butterworth, is slated to open Nov. 16 at Circle in the Square for 13 weeks.
Co-starring in the play is Laura Donnelly and Cush Jumbo, both appearing on Broadway for the first time. Ian Rickson is directing.
Jackman's previous Broadway work includes The Boy from Oz in 2003, A Steady Rain in 2009 and Back on Broadway in 2011.
His latest film, X-Men: Days of Future Past is set to open in theaters May 23.