The X-Men actor beat competition from actors including Jack Huston and Toby Kebbell to win the coveted part, reported Deadline.
Scottish star James, 34, is currently negotiating his deal to star in director Paul McGuigan's film.
He will join former Harry Potter star Daniel Radcliffe, who has already signed up to play the character Igor.
Little is known about the new sci-fi take on Mary Shelley's classic tale, but Igor is thought to be a hunchback who assists Frankenstein in creating his monster.
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Sorting out and organising your surroundings should be your first priority. As a general rule, you don't mind an untidy workspace. As far as you're concerned, messiness is a sign of genius. There comes a point when even the most talented person has to make order from chaos. It may take a few hours to sort through all the papers that have accumulated, but take heart. Once you dispose the junk, you'll be able to zip through chores like a hot knife through butter.More