The couple have named their little one Revel James Makai Morrison.
The 38-year-old actor announced the news on Instagram, where he posted an adorable black-and-white photo of him giving his newborn son a fist bump.
Morrison wrote a cute note alongside the picture, "To my Newborn Child, Revel James Makai Morrison: Your Mama and Papa got this!! Trust in us to guide and protect you always. To lay the tracks so your choo choo train will run smoothly throughout this world.
"You will have all the tools to soar! We love you, and are so thankful for your arrival! The adventures are just beginning..."