Turner will play Elizabeth Lavenza and will star opposite Andrew Gower (Victor Frankenstein) and David Harewood (the creature).
Leeds' Kirkstall Abbey will host the production, which will bring Mary Shelley's classic gothic tale to life through live drama and contemporary music. A total of 9,000 tickets for the show will be available to the public via the BBC Three website.
"This is a fantastic project to work on and a great story. I'm looking forward to it being live - it's definitely an adrenaline rush and I am already very excited about my makeover," said Turner.
Gower commented: "The sheer scale and challenge of the project was very attractive and to play a character as renowned as Victor Frankenstein is so exciting."
The show follows on from the success of Manchester Passion and Liverpool Nativity in recent years.
Harewood added: "As soon as I saw the idea on paper, I knew I wanted to do it. Combining so many different elements, live acting, dance, drama and of course the large audience at home and at the performance, was just too dazzling to turn down."
BBC Three's acting controller Harry Lansdown said: "The story of Frankenstein is as relevant today as it ever was. I'm delighted to be telling its story on BBC Three through this live drama, which has a great cast and fantastically ambitious audience participation at its very heart."