The Danish filmmaker previously wrote and directed the Pusher crime trilogy; 2009 biopic Bronson, starring Tom Hardy; and this year's Viking warrior fantasy Valhalla Rising, starring Mads Mikkelsen.
In a BBC interview, he revealed: "I guess one of the aims I am having, but at the very early stage, is that I always wanted to do Wonder Woman as a feature film.
"I would say that Wonder Woman is probably something that, to me, would be not just a satisfaction, but almost a catharsis and I was born to make it."
He's already illustrated that he can tackle ancient culture and mythology with Valhalla Rising, which does have a sci-fi/supernatural element, although it's very bleak and bloody.
He added: "After Valhalla Rising I thought the most surprising thing for me would be to go to Los Angeles and do a studio movie.