Amazon sold more than one million Kindle ebook readers a week during December, making various Kindles the first, second and third most popular products in the entire Amazon US catalogue.

The Kindle Fire tablet took the top spot, while the Kindle Touch and regular Kindle came second and third respectively. The huge success of the Kindle brand was replicated across Europe, where the regular Kindle was the most popular item for Amazon's British, French, Spanish, German and Italian stores.

The Kindle Fire - a 7-inch tablet only available in America - is the best-selling and most-"gifted" product in Amazon's 13-year history.

Amazon's co-founder and CEO Jeff Bezos said: "We are grateful to our customers worldwide for making this the best holiday ever for Kindle.

"And in a huge milestone for independent publishing, we'd also like to congratulate Darcie Chan, the author of 'The Mill River Recluse,' and Chris Culver, the author of 'The Abbey,' for writing two of the bestselling Kindle books of the year."

While a million units per week is impressive - especially for a range that has been on sale for a couple of months - Amazon has failed to say how many of each device it has sold.

The $199 Kindle Fire - seen by many as a smaller, cheaper alternative to the $499 iPad - sold more units than the much cheaper regular Kindle, which retails for $79.

In the UK, Amazon announced that the Kindle and Kindle Keyboard were the two most popular products to be sold by the retailer, beating considerably cheaper rivals such as albums, films and video games.