Writing in her OK magazine column, the glamour model insisted that her ex-husband Peter Andre is aware of the famous figure's identity, despite his public dismissal of the suggestion.
Price announced: "A famous celebrity raped me and Peter knows who it was. It was years ago before I was with Pete, and my friends and family knew about it at the time."
The star added that she has "no idea" why Andre is claiming to be unaware of her past trauma.
She commented: "He's not the Pete I knew anymore. He's being really cruel when he knows exactly who did it."
Price first said that she had been raped "more than once" at the beginning of this month.
The 31-year-old was granted a 'quickie' divorce from Andre last week.