Officiating was Della Reese, Downey's "Angel" co-star and ordained minister, People magazine reported Sunday.
"It was wonderful to have shared our big day with our family -- Roma, myself, our children and our parents," Burnett, who produced "The Apprentice" and "Survivor," told People. "It was so meaningful and so intimate."
Burnett's sons from a previous marriage, James, 13 and Cameron, 10, were best man and ring bearer, respectively. Downey's daughter from a previous marriage, 10-year-old Reilly, was a bridesmaid.