The Gossip Girl and You star, 33, and his singer wife, 36, who is also a doula and supports other women through birth, announced the arrival of their baby son after suffering two miscarriages.
Kirke revealed she gave birth in August in a post on Instagram in which she shared a painting made using the baby’s placenta.
She wrote: “His heart shaped home” and added the hashtags “#40dayspostpartum” and “#placentaart”.
Kirke, who is also mother to son Cassius Riley from a previous relationship, announced she was expecting again in February when she shared a photo of her baby bump and wrote: “On the road again… pregnancy after loss is a whole other thing.
“After two miscarriages in a row we were ready to call it. I stopped trusting my body and started to accept the fact that I was done.
“As a birth attendant, I’ve seen and heard it all. It takes everything I’ve got to detach lovingly from the losses I’ve been present for and be in my own experience.
“When I was pregnant at 25, I knew nothing. I had no community. I dove in blissfully unaware about birth and its mysteries.
“Now, with 10 years worth of experience to pull from, I treasure my birth community and the knowledge I have.
“You’re already teaching us how to stay in the day in a way we’ve never had to, little one. Thank you.”
The couple got married in February 2017 in a small ceremony attended by Kirke’s sisters, Girls actress Jemima Kirke and Mozart In The Jungle Star Lola Kirke.