"It is with immense sadness that we announce the death of our beloved Charlie Watts," a statement said.
"He passed away peacefully in a London hospital earlier today surrounded by his family."
It said he was "a cherished husband, father and grandfather" and "one of the greatest drummers of his generation".
The news comes weeks after it was announced that Watts would miss the band's US tour dates to recover from an unspecified medical procedure. Watts was previously treated for throat cancer in 2004.