Variety reports that the 12-year-old actress, who recently played a key role in The Dark Knight Rises, will be the daughter of Channing Tatum's Secret Service agent.
King's character is taken captive in the Roland Emmerich-directed action thriller, which sees Tatum's agent struggling to defend the US president (Jamie Foxx) after the White House is taken hostage on his first day.
Maggie Gyllenhaal, James Woods and Richard Jenkins are co-stars in the film, which was written by James Vanderbilt (The Amazing Spider-Man, Zodiac).
King recently finished shooting a role in Sam Raimi's Oz: The Great and Powerful.
White House Down will be released on November 1, 2013.
Watch a trailer for The Dark Knight Rises below: