Writing under his own name, Charles Dodgson, the English author in the 1891 letter complains about the downside of fame to his friend Anne Symonds.
In the letter, Carroll writes that he hates "being pointed out to, and stared at, by strangers, and treated as a 'lion'".
Carroll was notoriously shy and he wrote that although he realised many people "like being looked at as a notoriety... we are not all made on the same pattern; and our likes and dislikes are very different".
The letter was expected to fetch between 3,000 and 4,000 pounds at the Bonham's London sale. It was bought by an anonymous British buyer who was present in the room during the bidding, 'BBC News' reported.
The letter was being sold as part of a books, manuscripts, maps and photographs sale - other lots included first editions of Jane Austen's 'Pride and Prejudice' and Charles Dickens's 'A Tale of Two Cities'.
Two photographs by Carroll also sold at the auction. One of a young girl at the seaside sold for 5,250 pounds and his portrait of a three-year-old girl on a couch went for 2,750 pounds.