Upon closing, the production will have played 23 previews and 17 performances.
No reason was given for the quick closing.
"In 'The Anarchist,' LuPone plays the title character and Winger plays a prison official -- these actresses will make theatrical fireworks as one character, put away for life, wants out while the other wants to make sure she stays inside," a synopsis said.
Notable deaths of 2014 [PHOTOS]
Kelly Ripa's penthouse sells for $20M