The couple welcomed a baby daughter named Elsie Marigold on Friday, 13 September, but kept their new arrival under wraps until yesterday's big announcement.
Fantastic Four star Ioan and actress Alice told People they feel "very grateful and very blessed."
The British stars, who announced their pregnancy in May, are already parents to daughter Ella Betsi, four.
Ioan and Alice began dating back in 2000 when they met on the set of family movie 102 Dalmations. They married seven years later in Mexico.
Last year, Ioan spoke about his love of fatherhood during a chat on The Rachael Ray Show, saying little Ella accompanied him to Atlanta while he was filming his role in The Vampire Diaries.
"I had Ella the entire time, playing super dad. It's very exciting. I love it. I can't get over what great company [a child] can be."
Congratulations to Ioan and Alice!
More stars who have welcomed babies in 2013 below:
Copyright: Love & Lust London