Ali, 43, shared a sweet snap of his wife cuddling their newborn on Instagram, which he captioned: "Bari (Bar-ee) Najma Ali 2/22/17 #pisces."
The Oscar-nominated star and Sami-Karim, who wed in 2003, first announced they were expecting in December.
The actor is in the running for Best Supporting Actor for his role in "Moonlight" at the Oscars.
Ali, who plays a drug dealer mentor in the critically acclaimed film, gave a moving speech about his conversion to Islam and called for tolerance amid the current political climate when he won the SAG Award for Best Supporting Actor in Los Angeles last month.