The singer-songwriter was just 9 years old when her dad died in 1977.
Lisa Marie, who has children Danielle, Benjamin, Harper and Finley, said that she makes sure they know everything about the Rock 'N' Roll legend and his incredible career.
The 44-year-old told The Sun: "I was like anybody else - fearless as a child and experimental as a teenager - but I had an angel looking over me, and music.
"I wasn't really paraded around as a child. Mum protected me really well when I was young.
"It hit home when I turned 42 as that was the age when my father died, and his mum too. I have moments when I wish he had lived to see my children, of course I do.
"And I speak to my little ones about him. I tell them who he was and we love his music."
Lisa Marie - whose mother is actress Priscilla Presley - also accepted that her father's music and iconic status has cast a shadow over her own singing career
"I just had to find my own way with it," said Lisa Marie, who released new album Storm & Grace this year. "I don't feel I have to prove anything anymore. I was comfortable and it felt natural.
"I am a singer-songwriter and that's what I do. And my dad was a singer. I guess it would be a lot easier on me if my father had been a builder or a painter or a plumber."
Watch the video for Lisa Marie Presley's 'You Ain't Seen Nothin' Yet' below: