The 51-year-old actress will take part in the production created by Paris-based photographer and artist Katerina Jebb, reported Contactmusic.
Swinton will don a white laboratory coat complete with white gloves and high heels for the production, entitled "The Future Will Last a Very Long Time", which will be screened on a loop during each night of the Paris Fall Festival starting from September 29 to October 1.
The Scottish actress is known for her love of eccentric designer clothes and recently said that she is fortunate to have people who want to dress her.
"For me, it's just a matter of having a box cutter to open the dress box. I turn up in a pair of old corduroy trousers and I'm very fortunate to have friends who send me boxes with gowns. It's like the Cinderella complex. It's the friends that make the effort, not me," she said.