He reportedly died on the early hours of Tuesday, aged 75, at a London hospital.
Muneer Musdapher, a Facebook user believed to be his brother, disclosed the news Monday night via a post.
He, however, did not state the cause of his death.
“My elder brother Justice Dahiru Musdapher former CJN passed on tonight,” Muneer wrote.
Musdapher was appointed CJN in 2011 by ex-President Goodluck Jonathan.
He retired from the bench five years ago on attaining the mandatory retirement age of 70.
He served as chief judge of the Kano state judiciary from 1979 to 1985, and as a member of the court of appeal from 1985 till 2003.
The former CJN was honoured with the Commander of the Order of the Niger (CON) in 2003 and Commander of the Federal Republic (CFR) in 2008.