The 31-year-old actor has taken to his Instagram account to announce the news.
The new father has shared a series of pictures featuring the baby girl whom the couple named Bowie.
One close-up picture has his child looking cozy in a squirrel blanket. He captions the cute snap with "welcome to the world Bowie Rose DeHaan."
Another picture shows the actor's wife Anna outdoors as she holds the new bundle of joy. "Yas queens. Yas," the "Valerian and the City of a Thousand Planets" star wrote alongside the photo that sees the newborn baby snuggling inside the new mom's jacket.