Bob Torrance, who provided tuition to leading players such as former Open winner Padraig Harrington, died peacefully in his sleep yesterday, his son said in a statement.
Mr Torrance taught at the National Sports Training Centre in Largs, North Ayrshire, where the school of golf was named in his honour in 2009. During that time he had helped hundreds of amateurs and professionals improve their game.
His partnership with former world number one Harrington saw the Irishman win consecutive British Open wins, a PGA title and reach the top of the rankings in 2008.
Another Open winner, Paul Lawrie, said he was very "sad to hear the news of Bob Torrance passing away. What a character he was."
Ryder Cup star Ian Poulter added: "Really sad news Bob Torrance just passed away. An amazing man who coached so many great players. He will be missed."
Mr Torrance once criticised Scottish golfer Marc Warren for being more concerned with "big flats and Aston Martins" than developing his game.
Yesterday, Warren said: "It is a sad day for golf, a legend has passed away. It is a sad day for everyone involved. He changed my career massively. I still to this day - and will for the rest of my career - use his teaching and his words of wisdom, the great stories he had."