A source told People magazine that the couple's little bundle of joy arrived two weeks ago. They have yet to reveal the baby's name or gender.
The notoriously private couple - who started dating in April 2015 - initially kept their relationship under wraps and only went public a year ago.
Irina and Bradley are doing really well.
Congratulations to both Irina and Bradley!
Bayern breathe sigh of relief over Lewandowski injury ahead of Madrid clash
So far this season he has played in 31 of the team's 39 competitive games, contributing five goals and setting up four more. Max Meyer set up Guido Burgstaller to give the home side an early lead, and Leon Goretzka made it 2-0 in the 23rd minute.
"They see themselves spending their lives together and building a family with more than one child".
While Irina and Bradley tend to keep their relationship private, she couldn't hide her adorable bump at the 2016 Victoria's Secret Fashion Show in November. She loves being pregnant and seeing her and Bradley's baby grow in her belly'.
Shayk was spotted with what looked like an engagement ring in December, but they never confirmed the news.
An insider close to the duo said "It seems L.A.is now their home base". The American Hustle star has been helping Irina and accompanied her to doctor appointments while staying close to her during the entire pregnancy.
Before settling down with Irina, Bradley enjoyed a high-profile romance with Brit model Suki Waterhouse, who is 17 years his junior.