Lead archaeologist Richard Buckley, from the University of Leicester, told a press conference to applause: "Beyond reasonable doubt it's Richard."
Richard, killed in battle in 1485, will be reinterred in Leicester Cathedral.
You can read much more in an article in the BBC News web site at http://www.bbc.co.uk/news/uk-england-leicestershire-21063882.
You can read several earlier articles providing background information if you start at http://goo.gl/Zl6rG.
My thanks to newsletter reader John Rees for telling me about this latest update.