Simmons announced the birth Saturday on her Twitter feed. A representative for Simmons says both she and her newborn son are doing great. No further details were immediately available.
The 34-year-old Simmons has two daughters with 51-year-old hip-hop mogul Russell Simmons, whom she divorced in 2008 after seven years of marriage.
Kimora Lee Simmons is CEO of Phat Fashions, a clothing design company that her ex-husband founded. She has also been the focus of a reality television show and has been a judge on "America's Next Top Model."
Benin-born actor Hounsou has been nominated for two Academy Awards, including for his role in "Blood Diamond."
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