The 76-year-old "The Shawshank Redemption" star will play the role a professor, who is the only man to help Lucy before drugs kill her, reported Digital spy.
Johansson's titular character gains precognition, telekinesis and the ability to disregard pain after coming into contact with a highly-specialised drug.
The Production on "Lucy" will start after Johansson wraps up "Captain America: The Winter Soldier".