The 20-year-old children’s classic by JK Rowling smashed its £30,000 estimate at Bonhams' Fine Books and Manuscripts Sale in London.
It was inscribed to a friend and her family: 'For Meera, Donnie, Nastassia and Kai, with lots of love from Jo (also known as J.K. Rowling)".
JK Rowling and Meera met when their daughters Jessica and Nastassia were attending the same nursery in Edinburgh.
The inscription is dated one month and a day after the book was published on 26 June 1997. It was one of the first copies supplied to Rowling by the publisher.
Matthew Haley, Bonhams head of books and manuscripts, said: "There is always a great deal of interest when first editions of Harry Potter books come to auction, especially, of course, in the very first one in the series.
"This particular example was not only in excellent condition, but it had the added attraction of a very personal inscription from the author herself."
The previous record for a first edition of Harry Potter and the Philosopher's Stone was £60,168, set earlier this year in Texas, USA.
How to tell if your Harry Potter book is a ‘first edition’
1. The publisher must be listed as Bloomsbury on the title page (at the bottom)
2. The LATEST date listed in the copyright information must by 1997
3. The print line on the copyright page must read “10 9 8 7 6 5 4 3 2 1”
4. There is a mistake on page page 53, ‘1 wand’ appears twice in the list of school supplies Harry receives from Hogwarts. This error was corrected in later print runs.