The former England forward led the line for Bill Nicholson’s Spurs side in the early 1970s, winning two League Cups and the UEFA Cup.
A statement from Tottenham said: "It is with immense sadness that we announce the passing of our legendary former striker Martin Chivers.
"We extend our deepest sympathies to Martin’s family, friends and former team-mates at this incredibly sad time.
"Our players will wear black armbands during this evening’s fixture against AFC Bournemouth.
"Rest in peace, Martin. One of the all-time greats."
Chivers began his career at Southampton, helping the Saints win promotion to the top flight in 1966 under Ted Bates.
He moved to White Hart Lane in January 1968 for a then-club and British record fee of £125,000.
Despite a serious knee injury, Chivers became a central figure in a Spurs team that reached four finals in as many years.
He scored both goals in the 1971 League Cup final win over Aston Villa and played a key role in securing a third-place finish in the First Division that same season.
Chivers was pivotal in Spurs' 1972 UEFA Cup victory, scoring a memorable long-range goal in the first leg of the final against Wolves.
The 1972-73 season saw him score 33 goals as Spurs lifted the League Cup again and reached the semi-finals of the UEFA Cup, losing to Liverpool on away goals.
For England, Chivers scored 13 goals in 24 appearances.
His final appearance was the 1-1 draw against Poland at Wembley, which saw England miss out on the 1974 World Cup.
Chivers made 367 appearances for Tottenham, scoring 174 goals before moving to Swiss club Servette ahead of the 1976-77 season.
He later played for Norwich, Brighton, and had a brief player-manager spell at Southern League Dorchester.
He also spent time at Norwegian club Vard and finished his playing days with 10 appearances for Barnet in 1982-83.
In retirement, Chivers ran a hotel and restaurant in Hertfordshire and worked in media, including a stint with BBC Radio.
He remained a familiar face at Tottenham matches, regularly appearing as part of the club’s matchday legends hospitality team.