The release of the Edward Albee classic will be available as a 2-CD-R set as well as via digital download.
The three-time Tony nominee will appear alongside Sinéad Cusack, Peter Egan, Clare Higgins, and Daniel Lapaine.
Tony-winning director Michael Mayer made the announcement at last night's event.
The new musical is created by Matt Gould and Griffin Matthews.
Patrons can now purchase tickets for the Public Theater's upcoming productions.
Performers will also include Stephanie J. Block, Judy Kuhn, and Len Cariou.
Tony-winning Newsies choreographer Christopher Gattelli jumps on board the new musical.
The new musical will be directed by Robert Bartley, with musical direction by Carl Haan.
The production is set to welcome five new cast members later this month.