The film's director Luca Guadgnino confirmed that Yorke would provide the score for the film, a "reimagining" of Dario Argento's 1977 horror classic.
"Thom's art transcends the contemporary. To have the privilege of his music and sound for Suspiria is a dream come true," Guadgnino said in a statement.
"The depth of his creation and artistic vision is so unique that our Suspiria will sound groundbreaking and will deeply resonate with viewers. Our goal is to make a movie that will be a disturbing and transforming experience: for this ambition, we could not find a better partner than Thom."
Yorke, with Massive Attack's Robert Del Naja, previously contributed some atmospheric music to the documentary UK Gold, but Suspiria marks the singer's first time composing as a solo artist for a feature film.
Yorke joins Radiohead bandmate Jonny Greenwood in creating music for the big screen: Greenwood has composed the music for four Paul Thomas Anderson films – There Will Be Blood, The Master, Inherent Vice and the upcoming Phantom Thread – as well films like We Need to Talk About Kevin, Norwegian Wood and the Joaquin Phoenix film You Were Never Really Here.
The Suspiria remake – which stars Dakota Johnson, Tilda Swinton and Chloe Grace Moretz and revolves around young women at a Berlin dance company in 1977 – recently concluded filming. No release date for the picture has been set.