The news was shared by the "Bodak Yellow" hitmaker on Instagram, who gave birth to the little one on July 10.
The couple have named their daughter Kulture Kiari Cephus.
"Kulture Kiari Cephus 07/10/18," she wrote.
Their daughter's name seems to be a nod to Offset's rap trio, Migos, who released highly successful albums titled 'Culture' and 'Culture II' in 2017 and 2018, respectively.
The baby girl is the 25-year-old rapper's first child, while Offset has three children from previous relationships.
Cardi B had revealed her pregnancy in a televised performance on "Saturday Night Live" in April.
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