The Daily Telegraph reports that there are over 180,000 Kindle exclusive books including War Brides by Helen Bryan which has been purchased or borrowed over 270,000 times.
Karen McQuestion’s books A Scattered Life, Easily Amused and The Long Way Home, have been purchased or borrowed more than 500,000 times.
The Kindle e-book lending service is not currently available in the UK but allows US readers with a Prime membership to borrow books, free, as frequently as once a month, with no return dates.
Other top-selling Kindle-exclusive titles include Debora Geary's, A Modern Witch which recently ranked number one on the Kindle best seller list.
It briefly unseated erotic romance novel Fifty Shades of Grey by EL James which earlier this month became the best-selling book in Britain since records began.
Earlier this month Amazon revealed that it is selling more e-books in the UK than print titles.
Digital books have been outselling printed books on the Kindle for the past few years in the US but this had yet to happen in the UK.
Part of the Kindle’s appeal to writers is that authors who have yet to sign a book deal can self-publish their stories as e-books. Authors also have the option of making their titles exclusive to Kindle
The Kindle faces stiff competition from Apple's iPad, the Kobo reader and Sony’s various e-book Readers.
In October the American bookshop chain Barnes & Noble will introduce its successful Nook e-readers to Britain alongside an online store offering more than 2.5M e-books, magazines and newspapers.
Pricing information has yet to be revealed but today Barnes & Noble revealed that retailers Argos, Blackwell's and Foyles will stock the product along with John Lewis.
The Nook range has emerged as the main rival to Amazon's Kindle range in the US.