Kate's frock was inspired by one actress Grace Kelly wore for her wedding, and was praised for it's classically simple yet chic design.
Members of the public will be able to see Kate's dress with their own eyes when the exhibition opens this weekend, where visitors will also be able to watch a film of Burton talking about the now iconic dress.
In the film, Sarah reveals that Kate desired a gown with "presence and of historical importance" adding that the 29-year old also wanted it to be contemporary.
Burton states: "We wanted to look to the past, yet look to the future as well. There were a lot of references to Victorian corsetry - the padded hip, the tiny cinched-in waist - and also to the arts and crafts movement with all of the hand-work on the lace of the dress and also the bustle inside to create the shape of the back of the dress."
"It has an essence of Victorian but we cut the dress in a very modern way... I think what we wanted to achieve was something that was incredibly beautiful and intricately worked."
The designer added: "A lot of it is in the subtlety of the detail, the handcrafted lace, and the cuts and the shapes and the folds involved in the construction of the dress, yet we still had to remember it was in Westminster Abbey so it still had to have a presence."