The Dark Knight Rises actress is in line for the film alongside Chris Hemsworth, who is currently negotiating to star, according to The Hollywood Reporter.
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Steven Spielberg's project has also added Tom Rothman - who departs his role at Fox Filmed Entertainment on January 1 - as producer.
"If you are in politics, you dream of a call from the White House, in baseball, from the Yankees, in movies, from Steven Spielberg," Rothman said in a statement.
"Robopocalypse is the kind of important epic entertainment, a big movie with big ideas, that Steven does better than any filmmaker on earth. I am honoured beyond measure that he asked for my help on it and fired up to do whatever I can for him, Stacey, the outstanding DreamWorks team, and all of my friends at Fox.
"I enjoyed the idea of being unemployed for a week, but this will be way more fun."
Based on Daniel H Wilson's 2011 book, the film follows the fate of mankind after a robot uprising.
Hathaway will next be seen in Les Misérables.
Robopocalypse is scheduled for release on April 25, 2014.
