The 'All For You' singer taped an interview this week to air on Anderson on February 20, where she expressed her sympathies for Houston's family and friends.
"It's very, very devastating and I pray for her and her family, even Bobby. I mean he's going through so much. They are all going through so much. The mother, it's very sad," she told Anderson Cooper.
Jackson went on to say that Houston's death brought back memories of her own brother Michael Jackson's tragic passing in 2009.
"It's a very, very tough time. Even though it's still a loss. I lost my brother, [Whitney's daughter Bobbi Kristina] lost her mother. There's still a difference, even though there's still a loss to a family, I don't know what that's like being so young," she explained. "It was hard for me. It was very, very difficult for me. I didn't want to accept it, it's very difficult."
Jackson continued: "You have to come to terms at some point, you have to actually give it up to God and it sounds so mean but you have to move on you can't hold onto that because it can be very devastating. But you have to go on with life.
"You figure out a way to move on. It's always right here. There's never a day, not one day has gone by where I don't think about my brother and my other brothers and sisters say the same thing."
The Jackson family previously offered sympathies to Bobbi Kristina and the Houston family in a press statement earlier in the week.
"We honour and celebrate the life of one of the world's most gifted vocalists and talented entertainers, Whitney Houston," the Jackson family said.
"Although we are all saddened by her sudden passing and will miss her, we respectfully ask everyone to consider her family at this time of difficulty by granting them the patience and comfort they need to mourn their loss in peace."
Houston died on Saturday in her room at the Beverly Hilton Hotel. Police have revealed that the singer was found underwater in the hotel bathtub, but they will not confirm a cause of death until a definitive toxicology report is completed.
The 'I Will Always Love You' singer's funeral takes place on Saturday (February 18) at the New Hope Baptist Church in Newark, NJ.
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Watch Whitney Houston and Mariah Carey's 'When You Believe' music video below: