The ex-Stone Roses guitarist and visual artist presents the works at London's Idea Generation Gallery from June 10 to July 3.
Squire said of the exhibition: "It's a brief respite from the endless bombardment of celebrity images. It asks, 'How often do we really need to see copies of complete strangers' faces, and why do we collectively choose those particular people?'."
The former musician uses symbols inspired by the ancient eight-pointed star from across various cultures. The paintings consciously echo the focus on pattern and geometry of Islamic art, which sought to avoid depictions of Allah and Mohammed to protect against idol worship.
Squire continued: "I applied this concept to the gods chosen by modern Western culture. Those whose stories have been told and retold and whose images have been mass produced to such an extent that they are granted a kind of immortality."
Cheryl Cole, David Beckham, Lady GaGa, Lindsay Lohan and Rihanna are among the portrait subjects in the exhibition, as well as the likes of Joseph Fritzl and Harold Shipman.
In 2009, Squire made a new work titled Statement, confirming his lack of desire to reform The Stone Roses. The band again rejected comeback rumours earlier this year.
Move through our gallery of some of the images from John Squire: Celebrity below: