She leaves behind three children, Nigel, Simon and Elizabeth.
Brian died in 2004, aged 69.
"Our Mum sadly passed away on Saturday evening after a short illness. She will be greatly missed by everyone," read a statement for the Clough family released by Derby County.
"Our thanks go to the staff at the Royal Derby Hospital, especially those in the Nightingale MacMillan Unit.
"It is a sad time for the family and we would appreciate if our privacy could be respected at this time."
Nigel is the current Derby manager.
Clough took Derby into the top flight before winning the championship in 1972.
A statement from Nottingham Forest, the club Brian led to back-to-back European Cup wins in 1979 and 1980, read:
“Nottingham Forest have extended their deepest sympathy to the family of Barbara Clough, who passed away on Saturday.
“Mrs Clough, the widow of legendary Forest manager Brian, was widely regarded as a tremendously supportive figure to her husband and the club is immensely saddened by the news.”
Barbara and Lilian Taylor - widow of Clough's right hand man Peter Taylor – unveiled a bronze statue of their husbands outside Derby’s Pride Park ground in 2010 while Barbara unveiled one of Brian in 2008.
Lilian died two months ago.
- Death & Funeral
- Family & Relationships
- Royal Derby Hospital