The crew behind the movie, which focuses on women's fight for the right to vote, have been given permission to film scenes in the iconic building in London, marking the first time a commercial production will be shot in parliament.
The filming will take place while parliament is in recess over the Easter break in April (14).
Sir Alan Haselhurst, chairman of the cross-party administration committee, has revealed the move could lead to more movies being shot in the building, adding, "Films will only be allowed if their subject matter is appropriate."
Streep plays women's rights icon Emmeline Pankhurst in the new movie. The actress previously won an Oscar for playing former U.K. Prime Minister Margaret Thatcher in The Iron Lady. The drama featured numerous scenes set in the parliament building, but none were filmed in the real location.
Suffragette also stars Mulligan, along with Brits Helena Bonham Carter and Ben Whishaw, and is due for release in 2015.