The two stars will join actor Anthony LaPaglia in the movie version of the 1955 play, according to Variety.
LaPaglia, who is producing the film, reportedly won the approval of Miller after starring in the 1998 Broadway production. He will reprise his role of Eddie in the film, while Farmiga will play his wife Beatrice.
Wasikowska will play their niece Catherine - the role actress Scarlett Johansson claimed for her Broadway debut last January (10) opposite Liev Schreiber as Eddie.
The film, directed by Robert Connolly and penned by Edge of Darkness writer Andrew Bovell, is scheduled to begin shooting in New York and Melbourne, Australia this summer (11).