The low-key couple welcomed their first child together two weeks ago, People reports.
No other details are known at the time — including the sex and name of the baby.
Shayk’s pregnancy news broke last November after she was photographed on the Victoria Secret runway with ensembles that covered her midsection.
The lingerie was less revealing than other models on the catwalk.
Shayk, 31, and Cooper, 42, were first linked together in April 2015 on a date to the Broadway show “Finding Neverland.”
Requests for comment from their reps weren’t immediately returned.
|Irina Shayk and Bradley Cooper. Getty|
Bradley Cooper and Irina Shayk Welcome Their First Child
The Oscar-nominated actor and his girlfriend of two years Irina Shayk welcomed their first child two weeks ago, a source tells PEOPLE.
The baby is the first child for the Russian supermodel, 31, and the Silver Linings Playbook star, 42, who have been dating since spring 2015.
A source confirmed the couple’s baby news to PEOPLE in November shortly after Shayk’s appearance on the 2016 Victoria’s Secret Fashion Show runway.
In February, the model’s baby bump was clearly visible under an all-black ensemble during a trip to Disneyland, where she sported a Minnie Mouse-ears headband and enjoyed a meet-and-great with Pluto.
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And although Cooper wasn’t in attendance for that particular day of magic, a source told PEOPLE in December that he seemed “more protective” of his girlfriend in her pregnancy.
“He has been spotted dropping her off at the airport with kisses as she is about to take off for another job,” the source explained. “They are just a very sweet couple.”
It’s likely that the Los Angeles digs the duo plan to raise their baby in has undergone quite the change since December, when a source told PEOPLE it wasn’t exactly baby-proof.
“It seems L.A. is now their home base,” the source said at the time. “When they are together in L.A., they are very low-key and mostly hang out at home.”
Shayk, who is active on Instagram, has stayed quiet about the baby’s birth over the past two weeks, instead focusing her social media posts on her friends and editorial work she has done.
Reps for Shayk and Cooper did not respond to requests for comment.
Baby joy for Bradley Cooper and Irina Shayk as couple welcome their first child
Bradley Cooper and Irina Shayk have welcomed their first child.
The baby was born two weeks ago, according to People magazine.
Russian model Irina, 31, and Bradley, 42, did not find out the baby's sex before the birth, instead opting for a surprise. They have yet to reveal the baby's name or gender.
Irina was photographed looking svelte while shopping with her mother on March 30, but kept the news of the birth quiet while she recuperated.
She was previously said to be relishing her first pregnancy.
A source explained: 'She has some major cravings and is indulging in all of them. She loves being pregnant and seeing her and Bradley's baby grow in her belly.'
And despite her growing bump, the dark-haired beauty kept up with her fitness regime.
The insider said: 'She's been exercising lightly and working with a trainer.'
What's more, the pregnancy has served to bring the couple closer together, with Bradley feeling excited about the prospect of becoming a dad for the first time.
The source told E! News: 'Irina and Bradley are doing really well. Bradley has been helping Irina and been going with her to doctor appointments and being by her side through this whole pregnancy. He is as excited as she is to be a parent.
'Bradley's mother and Irina have gotten even closer during this pregnancy, and his mother has been very helpful.'
Bradley and Irina were first publicly linked when they were seen kissing in New York back in May 2015.
The model's baby news emerged when she sported a bump while walking in last year's Victoria's Secret show.