The actress announced the birth on her Facebook page. The couple's newest little girl, named Haven Garner Warren, was born on Saturday. SHe weighed in at 7 pounds and measured 19 inches long.
Alba said big sister Honor couldn't be more excited.
She concluded the post by thanking her fans, saying their support during her pregnancy meant the world to her.
Alba stars in the new movie "Spy Kids: All the Time in the World in 4D," in theaters Aug. 19.