The 25 year old became the 18th player to shoot 60 on the European Tour – Darren Clarke has done it twice – and the fourth to do so on a Sunday on their way to lifting the trophy.
Stone’s scintillating ten under par effort was almost one better though – he missed from seven feet on the last for what would have been the first 59 in European Tour history.
He carded eight birdies and an eagle in his first 16 holes at Gullane and needed to play the last two in one under par to break the magical 60 barrier.
A clubhouse target of 20 under par never looked like being matched as Stone recorded his third European Tour title, and also claimed one of three places in the field at next week’s Open Championship.
The others went to runner-up Eddie Pepperell, who raced to the turn in 30 and briefly led by two shots before Stone’s barrage of birdies saw him overhauled, and Sweden’s Jens Dantorp.
A closing 64 saw England’s Pepperell finish on 16 under, with overnight leader Dantorp carding a 68 to finish alongside South Africa’s Trevor Immelman (65) and American Luke List (64) on 15 under.
List already had a spot in the field at Carnoustie, and Dantorp pipped 2008 Masters Tournament champion Immelman by virtue of his higher position in the Official World Golf Ranking.
Stone began the final round three shots off the lead but covered the front nine in 31 and picked up birdies on the tenth, 12th, 14th and 15th before holing a curling eagle putt from 30 feet on the par-five 16th to set up his shot at history.