The personal photos, which will remain unaltered, will sit alongside other images of celebrities XVALA has collected from Google over the last seven years. In particular, it features those who have had their privacy compromised by the internet or by paparazzi.
They include Britney Spears' shaved head and shoulders shot and the leaked naked photographs of Scarlett Johansson that saw hacker Christopher Chaney sentenced to 10 years in jail in 2012.
"In today's culture, everybody wants to know everything about everybody. An individual's privacy has become everyone else's business," XVALA added. "It has become cash for cache."
The exhibition, No Delete, is set to open on 30 October 2014.
More than 100 household names have been the target of online thieves, who have stolen scores of naked photographs andintimate videos and posted them on the website 4Chan.
Several of the images - in particular, two of Hunger Games star Lawrence - quickly circulated on Twitter.
Among others the list includes Ariana Grande, Jessica Brown Findlay, Mary E Winstead, Rihanna, Kim Kardashian, Mary Kate Olsen, Mary E Winstead, Cara Delevingne, Kate Bosworth, Selena Gomez, Vanessa Hudgens, Kate Upton, Kirsten Dunst and Kaley Cuoco.
The FBI and Apple are both conducting investigations into the apparent widespread invasion personal accounts thought to be connected to the iCloud service.
A spokesperson for Lawrence said: "This is a flagrant violation of privacy. The authorities have been contacted and will prosecute anyone who posts the stolen photos of Jennifer Lawrence."
Justice and Grande have both said that the pictures are fake, although Lawrence's spokesperson verified their authenticity.
Meanwhile, representatives for Upton said they were "looking into" the authenticity of the indecent images.
Ricky Gervais went on a back tracking spree on the social media site after he was criticised for "victim blaming," while Emma Watson also took to Twitter to voice her condemnation of the breach.
The FBI and Apple are both conducting investigations into the apparent widespread invasion personal accounts thought to be connected to the iCloud service.
- Independent