Mr Horton, who was born on Merseyside but grew up in Jersey, played on the European Tour for many years but was even more successful as a senior, where he frequently topped the money list in the European Seniors Tour.
Awarded life membership of the European Tour in 2012, he won 15 pro events, including four on the European Tour, before excelling as a senior, winning 23 times on the European Seniors Tour.
He also represented Great Britain and Ireland in the Ryder Cups of 1975 and 1977.
In an email sent to members, Robbie Messervy, captain of the Royal Jersey Golf Club, said: 'It is with great sadness that I inform you that our former Head Professional and Honorary Life Member, Tommy Horton, passed away last night.
'Tommy arrived at the Club to attend the Annual General Meeting and shortly after became unwell and an ambulance was called. He died later in hospital.
'I would like to take this opportunity to thank those members and staff who attended to Tommy; Dr Guy Wildy, Dr Sally Sparrow and in particular our House Manager Bart and his assistant Piotr.'