The father-of-three told Magic FM presenter Jo Parker that seven-year-old Princess is already thinking of changing her name.
"Princess is telling me she doesn’t want me to call her Princess," he said. "And she doesn’t like the colour pink anymore, all of a sudden she wants everything blue."
Peter has children Princess and Junior with his ex-wife Katie Price
Peter, 41, added that at the time of his eldest daughter's birth he and ex-wife Katie Price chose the name because she was 'their princess'.
Princess, whose full name is Princess Tiaamii Crystal Esther Andre, got the name Tiaamii when Peter combined the names of her grandmothers, Thea and Amy.
Since splitting from Katie in 2009, Peter has gone on to have another daughter with his fiancé Emily MacDonagh.
Peter Andre and Emily MacDonagh's romance in pictures
This time around the Mysterious Girl singer opted for the more traditional name of Amelia.
Peter with his children at the premiere of Mr Peabody and Sherman
Doting father Peter, who is also dad to nine-year-old Junior Savva Andre with Katie, recently spoke about how much he loves being a family man and described his approach to parenthood.
"I love being the strict dad and also the fun dad," he told The Express. "I think it’s really important that kids can feel that they're your mates, but still within boundaries.
"My parents had boundaries, there was no hanging out going to the movies eating chocolate and popcorn, it was a very strict upbringing," he added. "I want to be able do that with my kids but at the same time I’ve always said I don’t mind a child being spoilt but I don’t want them to be a brat."