It's interesting to note, that prior to that time the club had been a fairly modest outfit, flitting between the old First and Second Divisions.
But everything would change once Don Revie was installed as manager in March 1961.
First up they won the Second Division Championship in 1963/64, and the revolution continued claiming the League title five years later.
In Revie's time as manager, before he moved on to be England's coach in 1974, they also claimed the League Cup, Inter-Cities Fairs Cup twice, another League title, Charity Shield, and finally the golden prize of the FA Cup in 1972.
What is also incredible is that Leeds were runner-ups in various competitions on eleven different occasions during his reign. Five times in the League, and heartbreakingly, in three FA Cup finals!
It goes to show how competitive they were, as geniune contenders for every trophy on offer.
After Revie left though, things began to slide, despite a European Cup final against Bayern Munich in 1975 (Runners-up again!).
Two brief renaissances happened though, as Leeds won the League title again in 1992, the last proper season before the Premier League kicked-in the following season.
And under David O'Leary they got to a Champions League Semi-Final in 2001, but since then the club has struggled under various owners and many different managers.
But we are here to savour the glory days of Revie, and the endless names of legendary players that era produced.
Bremner, Hunter, Giles, Reaney, Clarke, Madeley, Jones, Charlton, Gray, Sprake, Lorimer ....
Take a look at the other teams I've done in my RETRO FOOTBALL series HERE