[2] Bjarke Ingels and Julien De Smedt established the company PLOT in Copenhagen in January 2001, as a focus for their architectural practice.

Since then, BIG has completed more than 60 projects across the world, including a waste-to-energy plant which doubles as a ski-slope in Copenhagen, Denmark; the West 57th Street mixed-use VIA 57 West in midtown Manhattan, nicknamed a court-scraper, for Durst Fetner Residential; the headquarters for the Shenzhen Energy Company in Shenzhen; The Plus furniture factory for Vestre in the Norwegian forest; and the new Dock A at Zürich Airport.

[3] In December 2009, the company's partnership was expanded to include Thomas Christoffersen, Jakob Lange, Finn Nørkjaer, Andreas Klok Pedersen, David Zahle, CEO Sheela Maini Søgaard, and Kai-Uwe Bergmann.

In 2010, BIG opened a branch office in New York City, where they were commissioned to design the VIA 57 West courtscraper for Durst Fetner Residential.

At a lecture at the Royal Academy in July 2015, BIG proposed turning the Battersea Power Station in London into "the world's tallest Tesla coils.

"[7] In 2015, BIG added four new partners: Beat Schenk and Daniel Sundlin in New York and Brian Yang and Jakob Sand in Copenhagen.

[22] BIG released a revision of its design proposal for the new Oakland Ballpark in February 2019, retaining its rooftop park with community access.

[25] In July 2021, BIG added seven additional partners for a total of 24: Andy Young, Lorenzo Boddi, João Albuquerque, Douglass Alligood, Lars Larsen, Giulia Frittoli, and Daria Pahhota.