The statement adds: "Family members are devastated to hear the breaking news and have requested privacy at this very hard time".
Dolores O'Riordan of The Cranberries performs at L'Olympia on May 4, 2017 in Paris, France.
On stage, Dolores was in her element.
Forming in Limerick, Ireland in the late '80s, the band was originally fronted by singer Niall Quinn, who later exited the group and O'Riordan was brought in as the replacement.
They had to cancel several concerts and said at the time that this was because O'Riordan had a back problem. No other information about her death was immediately available.
Meeting her for the first time, then, in the early 1990s following the success of The Cranberries" debut album, "Eveybody Else Is Doing It, So Why Can't We?', was more than a little nerve-racking. She was member of the group from 1990 to 2003 before rejoining in 2009.
However, at the end of a year ago Dolores made a statement on The Cranberries' official Facebook page stating she was "feeling good" and was doing her "first bit of gigging in months".
Higgins described O'Riordan's death as a big loss to Irish music, saying her influence was "immense".
Dolores is survived by her three children Taylor, Dakota and Molly whom she had with her ex-husband of 20 years, Don Burton, former tour manager for Duran Duran.
"She was an inspiration to many across the world and had a truly unique voice".
Dave Davies of The Kinks posted a picture of himself alongside Dolores as he paid tribute.
Leaving the court, she said: "I don't really have much to say, just that I'm glad it's over".
She got into a war of words with fellow judge Jamelia at one point after the UK R&B star gave a low score to one of O'Riordan's proteges.