The couple have revealed their daughter was born on March 2, reported USA Today.
Representatives for the pair said, "Morena and Ben are so happy to welcome baby girl Frances Laiz Setta Schenkkan on March 2. All are happy and healthy and appreciate the well-wishes."
The couple's "Gotham" characters, James Gordon and Dr Leslie Thompkins, are also expecting a baby together on-screen with Baccarin explaining that it was "a total coincidence".
They were already planning on doing that with (our) characters when I got pregnant. When I told them they were like, 'Okay, great!' and I was like, 'What?' It worked out perfectly."