This is the second child for the Oscar winner, who is also mom to 5-year-old Nahla, her daughter with ex Gabriel Aubry.
Martinez first revealed that he and his stunning wife were expecting a boy in June, with the Call star telling People, "My son will remain an American, but I will remain French."
“Extra” talked with Halle about how 4-year-old daughter Nahla wished for Berry’s “miracle” pregnancy.
Berry, 47, explained, “She now has supreme knowing that faith is real. That you can wish for something and you can want for something and make that manifest. So it's been a lovely way to teach her about the power of prayer, and now that she's made a baby come, I tell her all the time, ‘Think of what you can do!’”