Fisher shot 11-under 61 in the final round of the Alfred Dunhill Links Championship - and that included a three-putt from the Valley of Sin at the par-4 18th.
Hatton put his second shot of the day into the Swilcan Burn but chipped in for par and birdied the second and third before holing a six-footer on the fourth and a tap-in on the par five fifth for a seven-shot lead.
Ross Fisher was his closest challenger as he fired 11 birdies on his way to a course record 61, although he will no doubt be disappointed that he failed to post the European Tour's first ever sub-60 round.
Tyrrell Hatton grabbed one bit of history while Ross Fisher lost the chase of his fellow Englishman but snatched an equally significant historical milestone in the final blows of the Alfred Dunhill Links Championship.
It caps a remarkable return to form for the Marlow man after he made just two of the nine cuts between the Masters Tournament in Augusta and the US PGA Championship.
Of the Irish, Paul Dunne finished on 13 under, 11 shots behind Hatton, after a closing round of 70 which was good enough for a tie of seventh place.
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Hatton's game stands up to that of any of his contemporaries, such as Tommy Fleetwood and Matthew Fitzpatrick, so if he can feel better on the course then it can only help him fulfil his potential. I think the format is helping me. "I felt like I saw the lines on the greens, had a really good score and knew obviously I was playing for second because Tyrrell was nearly too far in front". "Unfortunately I've got to sign for a 61 but I'll definitely take it!"
"So you know, fair play to Fish".
Victor Dubuisson, who'll want to be part of the team in his homeland, produced a fantastic last round of 63 to finish third. Grace was seven-under with three holes to go, but finished poorly with bogeys at 16, at 228m one of the longest par-3s in golf, and 17, which is one of the toughest par-4s on the course.
Another man who also made significant strides up the season rankings is Robert Rock.
Jack Nicklaus has spoken on the golf ball for years, with a strong opinion that today's version goes too far. I was just trying to get whatever points I could - and I played right to that level where you could just barely miss.
"I feel I'm a much better player than I was in 2011 and 2012, when I was able to win a couple of majors".