The superhero movie - starring real-life husband and wife Tom Holland and Zendaya - is only behind Avengers: Endgame, which took in more than $1.2bn in its opening weekend in 2019.
Brand New Day also set a second-best North American record, with box office takings of$335m.
Brand New Day, which opened in cinemas last week, picks up a few years after 2021's Spider-Man: No Way Home as Peter Parker continues to fight crime in a world that has forgotten he is the masked superhero.
Brand New Day made $572m from more than 73,000 screens outside the US, including $121m from China, distributor Sony Pictures said. That included $49m in UK ticket sales over the weekend.
Marvel Studios president Kevin Feige said the opening of Brand New Day was "truly phenomenal", adding that he was grateful to audiences for "coming out and experiencing our film the way it was meant to be seen."
The film is Marvel's last big-screen outing before Doomsday, the long-awaited culmination of multiple superhero story arcs after Avengers: Endgame.
Marvel films released since Endgame have struggled to attract the same broad audiences as they did at their peak.
Big budget films like The Marvels and Thunderbolts recouped their production costs but were among the studio's lowest-grossing films.
Spider-Man remains one of Marvel's most lucrative franchises, with No Way Home making nearly $2bn in ticket sales.
Cinema attendance has slowed since the Covid-19 pandemic, which accelerated the shift to home-streaming options like Netflix.
But the big screen has staged something of a comeback this year, with the North American box office takings on track to pass $10bn for the first time since 2019.
That was helped by blockbuster hits by including Toy Story 5, Michael, and The Super Mario Galaxy Movie - which have made more than $1bn each.
July releases Brand New Day and The Odyssey - director Christopher Nolan's take on the epic Greek poem - are also on track to top the $1bn mark.
Indie horror flicks Obsession and Backrooms emerged as surprise successes, bringing in more than $390m each despite their modest budgets.
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YOU HAVEN'T THE SEEN THE END OF MARVEL YET, MORE TO COME IN THE AVENGER'S DOOMS DAY MOVIE- ROBERT DOWNEY JR.
Hello World
Hello Jupiter
Hello Saturn
Hello Mars
Hello Neptune
Hello Venus
Hello Pluto
Hello Uranus
Hello Earth
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