The superhero film, starring Robert Pattinson, only recently returned to filming near London following a six-month hiatus due to the coronavirus pandemic.
A Warner Bros spokeswoman said: “A member of The Batman production has tested positive for Covid-19, and is isolating in accordance with established protocols.
“Filming is temporarily paused.”
They did not confirm the identity of the person.
Filming on the Warner Bros and DC Comics feature began in Glasgow earlier this year but was halted due to the pandemic.
It was initially due for release in June 2021 but was delayed to October 1st 2021.
Directed by Matt Reeves, The Batman will see British star Pattinson follow in the footsteps of Christian Bale, Ben Affleck, Val Kilmer and George Clooney in playing the Dark Knight.
The film also stars Zoe Kravitz as Catwoman, Andy Serkis as Alfred Pennyworth and Jeffrey Wright as Gotham City’s police chief Commissioner Gordon.
Last month, a trailer saw Twilight star Pattinson debut as a darker, brooding Bruce Wayne.
Fans speculated on social media as to whether a glimpse of a character in heavy prosthetics was Colin Farrell in his role as Penguin.