Morena gave birth to the couple's daughter earlier this month on 2 March, it has been confirmed.
According to USA Today, reps for Morena and Ben announced the arrival of the pair's new addition, as well as revealing their daughter's name.
They 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."
So far, the couple are yet to address the birth of their daughter Frances on social media.
Ben confirmed he and his Gotham co-star were expecting back in September last year. Reports emerged detailing the pair's baby news, just days after it came to light Morena and Ben were dating.
He then revealed such reports were true by tweeting a message of congratulations sent by his sister on Twitter. The tweet read: "Couldn't be happier for @ben_mckenzie and @missmorenab. Welcome to the family, Morena! Also... I'M GONNA BE AN AUNT."
While Frances is Morena's second child (she is already mum to son Julius from a previous marriage), she is Ben's first.
He and Morena met on the set of thriller TV show Gotham, but have made sure to keep their relationship relatively private - only going public with their romance at last year's Emmy Awards. The pair were spotted holding hands on the red carpet.
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