The baby arrived recently, the "Dark Knight" star's rep confirmed Monday to People. Name, weight, length and the exact birth date, however, are under wraps.
Makes sense, given Bale's very private nature.
Blazic's pregnancy went public in March when she and her husband appeared on the red carpet at the 86th Academy Awards, where he was nominated for best actor for his work in "American Hustle." (The trophy went to Matthew McConaughey for "Dallas Buyers Club."
Blazic, 44, and Bale, 40, who've been married since 2000, are already parents to 9-year-old Emmeline.