"Where he was, I tried not to be," she said.
The deaths took place a year after Hudson, who rose to fame as a contestant on "American Idol," won an Oscar for her role in the movie "Dreamgirls."
In a recent interview with CNN's Piers Morgan, Hudson reflected on the life of her mother.
"My mother was a very wise and strong person. I feel like she raised us well, and she prepared me well, and so that's what I live by," she said.
Her career has continued to blossom and remains varied since her relatives' deaths.
Recent milestones include penning a memoir detailing her struggles with her weight; being cast as Nelson Mandela's ex-wife, Winnie, in an upcoming movie; releasing a new album; and singing a well-received tribute to Whitney Houston at the Grammy Awards in February.
CNN's Katherine Wojtecki contributed to this report.