"Colin Vearncombe 26/5/1962 - 26/1/2016 You'll Never Walk Alone", said the statement, which used the star's real name and was also posted on his official website.
The 53-year-old singer had spent two weeks in a serious condition in hospital following a crash near Cork, southern Ireland.
He was placed in an induced coma but his condition had deteriorated badly, according to a Facebook update posted on Sunday.
Black's best-known hit, "Wonderful Life", peaked at number eight in Britain's singles chart in 1987 and was also a big hit in a string of other European countries.
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