The couple's first child is named after his father and Ali's - Muhammad Ali.
Ali, 30, had planned to have a natural, home birth. But her publicist, Thea Ellis, said: "There were some surprises during labor that altered Laila's birth plan." She declined to elaborate, except to say: "Mom and baby are both healthy and happy."
"Mama and baby are resting," Ali wrote on her Web site, where she blogged throughout her pregnancy.