Peaches Geldof said that she had not 'fully made peace with her childhood' and that her late mother 'lived through' her in one of her final interviews before she died.
The 25-year-old TV presenter - who was found dead at home in Kent last week - also spoke of her hope for the future with her two young children, Astala, 23 months and 11-month-old Phaedra.
In an interview with Aga Living magazine, published in the Sunday Times, Peaches said: "Now I am a mum, I can correct those awful parts of my childhood and it's a really healing process.
"Before, I was not at peace with myself about it because I was just traumatised... But now I have the kids I can heal the situation. It's so good in every single way."
She went on to describe how similar she was to her mother, the TV presenter Paula Yates, who died in 2000 from a heroin overdose.
"She had a really difficult time. There are so many parallels between us. Now I can understand everything.
I think you have to experience hardships and pain yourself to fully understand people who have been through it and also you can never really experience happiness unless you've had that down feeling, too.
"Sometimes it's enjoyable to be a bit depressive, I think."
Peaches also talked about how much she wanted another child, and was hoping for a girl, saying: "I would love to have a girl, purely to dress her up. My mum used to dress us in matching outfits to her own and I loved that."
Police are now continuing to investigate the death, and are waiting on the results of a toxicology report, which may take several weeks.