Born on September 22 and weighing 6lbs 13oz, the newborn was happily welcomed by his parents.
“Here she is!” Hilaria Baldwin captioned the video on her verified Instagram account. “We are thrilled to present our little dream come true.”
She added that she and the baby were “happy and healthy”.
“His Baldwinito siblings spend the day bonding and welcoming him into our home,” Baldwin wrote. “Much love to all of you. We are so happy to celebrate this wonderful news with you.”
The video shows Hilaria Baldwin in the hospital with the newborn, Alec Baldwin with what appears to be the new baby’s footprint on his arm, and the rest of the family welcoming the newcomer with hugs and kisses.
Alec Baldwin also has an adult daughter, Ireland, with ex-wife Kim Basinger.