The Russian model delivered their first child two weeks ago, People reported Sunday, citing an unnamed source.
Us Weekly “confirmed” the birth with an anonymous source as well ― but no word on whether the couple welcomed a boy or a girl.
Ellen DeGeneres, who has hosted Cooper on her show, posted a fun congratulations to Cooper and Shayk.
The 42-year-old Cooper, a three-time Oscar nominee for “Silver Linings Playbook,” “American Hustle” and “American Sniper,” and Shayk, 31, have been together since 2015.
Reports of Shayk’s pregnancy emerged last November.
The Huffington Post reached out to a rep for Cooper and didn’t immediately hear back.