The defender and midfielder, who played 799 games for the Hammers between 1967 and 1988, holds the club’s all-time record for most appearances.
As well as captaining the east London side to FA Cup victories in 1975 and 1980, he also managed them from 1990 to 1994.
During his tenure, the club was promoted to England’s top division, relegated, and then promoted again.
In a statement on West Ham’s website, his family paid tribute, saying: “We are heartbroken to announce that we lost our beloved Dad today.
“He was devoted to his family and was the most kind, loyal, selfless, and loving person.
“Dad loved West Ham United and its wonderful supporters with all his heart and treasured every moment of his time at the club.”
West Ham announced a period of appreciation to honour Bonds before Sunday’s Premier League home game against Liverpool.
Bonds was appointed an MBE (Member of the Order of the British Empire) in January 1988.
The east stand at West Ham’s London Stadium home is named in his honour.
