The couple have not yet set a wedding date, Kolstad said.
Hudson won a best supporting actress Oscar in 2007 for her role in "Dreamgirls." Her film credits also include "Sex and the City" and the upcoming "The Secret Life of Bees." The "American Idol" alum will release her debut solo album Sept. 30.
Otunga appeared as a contestant nicknamed "Punk" on the VH1 reality dating show "I Love New York 2."
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