According to the birth certificate of the 47-year-old singer's newest arrival, her name is Hendrix Estelle Sheba Brown, reported Entertainment Tonight.
Brown had earlier shared the news of his daughter's arrival on Instagram and wrote, "Just had a baby girl. 10 pounds. I'm grateful."
The musician is also father to four other children, from his past relationships.
His daughter from late wife Whitney Houston, Bobbi Kristina Brown, was found dead in the bathtub at her home. She was just 22.