Griffiths became an accomplished coach after the end of his professional playing career in 1997, inspiring stars such as Stephen Hendry, Mark Williams and Mark Allen – and also regularly commentated on snooker for BBC Sport.
Three-time world champion and fellow Welshman Williams was among the first to pay tribute on social media, describing him as a “mentor, coach, friend, legend”.
Northern Ireland’s Allen added: “What a legend of a man, who helped shape my career and life both on and off the table. Absolutely heartbroken. He wasn’t just a coach, he was family.”
Speaking after beating Barry Hawkins 10-8 in the final of the UK Championship in York on Sunday, current world number one Judd Trump also paid tribute to Griffiths.
“It is very, very sad news,” said the 2019 world champion. “It is tough for the family and they have such a history in snooker.
“Terry was a witty guy. He was always very funny and quick, and a legend of the game. He was someone that, when I went to the Welsh Open he’d always come over and make a joke.
“I think because of the people that went to him you could tell he was a great coach. I had a good connection. It is incredibly sad news and a sad day for Welsh sport in general.”
BBC snooker presenter Jason Mohammad also added on social media: “So sad to hear this news tonight.
“Thank you Terry for putting Wales on the sporting map – for your elegant commentary, chats and warmth in studio.
“Will never forget how you welcomed me to the snooker family when joining the BBC TV team. Prayers with all family and friends.”