Frances McDormand, who embarks on a van journey through the American West after the financial crisis, was named Best Actress, while the film also picked up the cinematography award for Joshua James Richards.
Zhao, who is only the second director to win the direction award in 53 years, dedicated the best film to the "nomadic community who so generously welcomed us into their lives".
The ceremony was held at the Royal Albert Hall in London and stars who attended the live red carpet, such as Tom Hiddleston, took off their masks for the photographers but replaced them to enter the building. It was hosted by Edith Bowman and Dermot O'Leary.
None of the nominees at the Royal Albert Hall in person, with most giving