Rihanna, 34, gave birth on May 13 in Los Angeles, TMZ said, citing sources with knowledge of the matter. It is their first child.
Representatives for the musicians did not respond to requests for comment. The couple announced Rihanna's pregnancy in January.
The Barbados-born "Diamonds" singer, whose birth name is Robyn Fenty, has won nine Grammy awards and also developed the Fenty makeup and fashion lines.
Rihanna and A$AP Rocky, 33, were friends for many years before they began dating.
The rapper told GQ magazine in May 2021 that she was "the love of my life" and that he "absolutely" wanted to be a father.
