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The movie is expected to hit theaters in March 2014 with Jolie playing villain Maleificent from animated classic "Sleeping Beauty."
Vivienne will portray a young version of Princess Aurora who is cursed to sleep until awoken by kiss from a handsome prince.
"Angelina Jolie's daughter Vivienne will play a minor role as the child version of Princess Aurora opposite her mother in "Maleficent," Disney said in a statement.
"The live-action film explores the origins of Disney's most iconic villain, Maleficent, and what led her to curse Princess Aurora."
No further details were available.
Vivienne Jolie-Pitt is the twin sister to brother Knox Leon. They were born in Nice, France, on July 12, 2008.