Faith Margaret, who was born Dec. 28 at a Nashville hospital, is the biological daughter of the entertainment industry power couple.
"Our family is truly blessed, and just so thankful, to have been given the gift of baby Faith Margaret," the couple, both 43, said in a statement. "No words can adequately convey the incredible gratitude that we feel for everyone who was so supportive throughout this process, in particular our gestational carrier."
This is the second child for the couple, who married in 2006. Kidman gave birth to Sunday Rose in 2008. She also has two adopted children — Isabella and Connor — from her previous marriage to Tom Cruise.
Calls and e-mails to the couple's reps were not immediately returned Monday. Kidman and Urban were at the Golden Globes Sunday night.