The 1984 cyberpunk novel, written by William Gibson, centers on Henry Dorsett Case, a disgraced computer hacker living in Japan who was punished for stealing from his employer by being rendered unable to access The Matrix, a worldwide virtual reality network.
Simon Kinberg will be producing the project, according to The Hollywood Reporter.
A writer has not yet been attached.
Miller made his directorial debut last year with Fox's "Deadpool". He dropped out of its follow-up in October over creative differences.
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