The Cloud Atlas star and her husband Olivier Martinez welcomed their first child into the world last Saturday, October 5.
According to People magazine, a representative for the Halle Berry has confirmed the happy news.
It is said Halle’s five-year-old daughter Nahla has already visited her newly born baby brother at Cedars Sinai Medical Center in Los Angeles.
A source added: "Olivier hasn’t left Halle’s side. Nahla visited her baby brother earlier today."
When Halle revealed the couple were expecting a boy earlier this year, she explained her daughter was excited for the "miracle" of a brother.
She previously said: "[Nahla’s] really happy. Not long ago she asked God for a little sister, but I tried not to get her hopes up.
"At 46, I didn’t know if I’d be able to get pregnant again.
"Olivier and I have always wanted to be parents. But I didn’t want to get my hopes up... God made the dream come true.
"This pregnancy is like a miracle for me, an amazing gift, because this child was as wished for as it was expected.
"It’s like a renewal of life ... Good things happen too."