The former Leeds United and Wales midfielder passed away following a short illness, his children Gabby, Jordan and Louise announced in a statement on Thursday (08.01.26) morning.
They said: "To most he was a revered footballing hero, but to us he was Dad; a quiet, kind and gentle man.
"Our hearts are broken, but we take comfort knowing that he will be reunited with our brother, Daniel."
Terry's son Daniel tragically died at the age of 15 in 1992 from hypertrophic cardiomyopathy - a genetic condition in which the heart muscles get abnormally thick, causing great difficulty for the heart to pump blood.
The former professional footballer - who had Gabby, Louise, Jordan and Daniel with his ex-wife, designer Christine Yorath - was a grandfather to Reuben, Lois, Mila, Phoenix and Paloma.
Jordan, Louise and Gabby's announcement came hours after the latter was forced to stop hosting Wednesday's (07.01.26) episode of BBC's Match of the Day mid-show due to a family emergency.
Gabby opened the football highlights show with former professional footballers Danny Murphy, 48, and Stephen Warnock, 44, and set up the first package - Bournemouth vs Tottenham - and introduced the match between Manchester City and Brighton.
But when cameras returned to the studio, 52-year-old broadcaster Mark Chapman - who had just finished his job on BBC Radio 5 Live - swiftly replaced Gabby in the hosting seat after a night of gripping midweek Premier League action.
Addressing the change in presenter, he said: "We'll talk about that game [Manchester City v Brighton] in just a moment, sadly Gabby has got a family emergency which she's had to rush off and deal with. So she's gone to do that, and I've come from the radio to finish the show."
And on Thursday morning, Gabby announced - with her siblings - that her beloved dad Terry had died.
Born in Grangetown, Cardiff, Wales, on March 27, 1950, Terry scored 11 goals in 199 appearances for Leeds - his first professional club - over nine years, which began in 1967.
The star - who bagged the First Division title with the club in 1974, and achieved a runners-up medal in the FA Cup, European Cup and Cup Winners Cup - played 59 times for Wales as a captain.
Terry - who also played for Coventry City, Tottenham Hotspur, Vancouver Whitecaps, Bradford City and Swansea City - led Wales to almost qualifying for the 1994 World Cup, which ended in a 2-1 defeat by Romania in their final qualifier.
He served as player-coach at Bradford, and was an assistant coach when the Valley Parade fire - which claimed the lives of 56 fans and injured 270 - happened in May 1985.
After retiring, Terry managed Swansea, Wales, Bradford, Cardiff, Lebanon, Sheffield Wednesday and Margate.