To mark the anniversary, we'll run stories with all the key players this week, plus an exclusive insight into the squad from manager, Keith Burkinshaw.
A number of the players from that glory, glory night will be back at the Lane for a 30th anniversary dinner on Friday.
There is only one place to start, the inspirational skipper, goalscorer on the night and the man who buried the first penalty in the shoot-out - Graham Roberts...
Graham Roberts lived the dream when he lifted the UEFA Cup in front of our ecstatic fans at the Lane.
Level at 1-1 after the first leg against top Belgian side Anderlecht, we lined-up for the return on May 23, 1984 without key players - skipper Steve Perryman suspended, Glenn Hoddle, Ray Clemence both injured, Ossie Ardiles only fit enough to take his place on the bench - yet the team dragged itself from going 1-0 down on the night to equalise and then famously win the penalty shoot-out.
And it was a captain marvel performance from 'Robbo', who forced home the equaliser before drilling home the first penalty in the shoot-out, the trophy secured when Tony Parks turned away Arnor Gujohnsen's spot-kick.
Thirty years on, the memories burn as brightly as ever for the midfield general.
"We went to Bayern Munich in the third round, lost 1-0 over there but beat them 2-0 back at White Hart Lane," he reflected.
"The season before we lost 4-1 against them, so we knew we’d improved.
"We then played Austria Vienna, 2-0 here, Ossie and Alan Brazil scored and then 2-2 away.
"The semi-final was a tough game. Hajduk Split were technically very good but we went 1-0 up, Mark Falco took a penalty, had it saved, had the rebound saved but Tony Galvin scored the second rebound.
"We lost 2-1 but we knew we had that vital away goal and Micky Hazard scored an early free-kick to take us into the final.
"Look at the players who didn’t play in the final – Clemence, Hoddle, Perryman, Ossie was sub – but that’s how good a squad we had.
"We knew we had that squad and there was no way I was going to walk off the pitch not having won that trophy.
"It was the best night, no doubt. To walk out here as captain, it felt there were 60,000 at White Hart Lane that night and that gave us the lift we wanted.
"When Keith asked me to be captain because Stevie P had two bookings and missed the game, I knew myself we had to win.
"It was emotional, but we had to put that to one side, Keith was leaving as well and we couldn’t let him go without winning the trophy. When we walked out that night, the supporters gave us that extra energy. It was a fantastic night."