Her one-person exhibit is called "The Maybe," and it features the "Moonrise Kingdom" star snoozing in a glass box.
There's no published schedule for the piece, which will occur about a half dozen more times through the end of the year.
Swinton first performed the piece at the Serpentine Gallery in London in 1995. In 1996, she performed it in the Museo Barracco in Rome.
She is best known for her best supporting actress role in "Michael Clayton."
The Associated Press contributed to this report.
