Williams' poignant 1945 memory play about an overbearing mother and her fragile daughter will begin performances Feb. 2, 2013, in Cambridge, MA, for a run through March 13, 2013.
In addition to staging Once, Tiffany is also the director of the acclaimed National Theatre of Scotland production of Black Watch.
Jones earned Tony Awards for The Heiress and Doubt.
The Glass Menagerie will have sound design by Tony Award-winning Once sound designer Clive Goodwin.
For tickets visit AmericanRepertoryTheater. A.R.T. is located at 64 Brattle Street in Cambridge, MA.