"And to those who have asked for a sequel, Robert fully intends to keep writing the series, although he will probably continue to turn down personal appearances," she added.
One reviewer described The Cuckoo's Calling as a "scintillating debut", while another praised the male author's ability to describe women's clothes.
A clue that Rowling was behind the novel was that she and "Galbraith" shared an agent and editor.
The book was published by Sphere, part of Little, Brown Book Group which published her foray into writing novels for adults, The Casual Vacancy. Crime writer Peter James told the Sunday Times: "I thought it was by a very mature writer, and not a first-timer."
While crime author Mark Billingham, who reviewed the book ahead of its publication in April, said he was "gobsmacked" at the revelation. Rowling also caught out others with her new guise.
Kate Mills, fiction editor at Orion Books, admitted she had turned down the crime novel, which she described as "well-written but quiet".
"So, I can now say that I turned down JK Rowling. I did read and say no to Cuckoo's Calling. Anyone else going to confess?" she tweeted.Sales of the novel have rocketed since the true identity of its author was revealed. The "Movers and Shakers" section of Amazon, which charts gains in sales by the hour, says sales of the book are currently up by more than 507,000%.
A spokesman for Waterstones booksellers said: "This is the best act of literary deception since Stephen King was outed as Richard Bachman back in the 1980s." In a tweet, its Oxford Street branch joked: "SPECIAL OFFER: For today only, ALL of our books were written by JK Rowling!" Others also took to Twitter to react to the news.
Comedian Michael Moran posted: "Idea for publishers: 1: Reveal that ALL books were written by JK Rowling. 2: Sales of all books soar by 150,000%. 3: Industry saved."Author Ian Rankin wrote: "So a debut novelist, garnering good quotes from famed authors for the cover plus good reviews, can expect to sell only a few hundred copies."
Sales of the book are soaring at online outlets, while bricks-and-mortar booksellers replenish their stocks
While an account named Dumbledore's Beard TM posted: "JK Rowling is a genius and proper badass."
And another named the Dark Lord tweeted: "JK Rowling secretly wrote a book under a different name. How very Half-Blood Prince of her."
The fictitious Galbraith was supposed to have been a former plain-clothes Royal Military Police investigator who had left the armed forces in 2003 to work in the civilian security industry. In previous interviews, Rowling has said she would prefer to write novels after Harry Potter under a pseudonym.
Another Cormoran Strike book by Robert Galbraith is in the pipeline, to be published next year. Story by: BBC New