Match ends, Luton Town 1, Leeds United 2.
Leeds moved up to second in the Championship as Matt Pearson's late own goal condemned Luton to a fifth successive league defeat.
The decisive moment in a tight game arrived just into added time when Pearson put Mateusz Klich's cross into his own net after a touch from Patrick Bamford.
The win sees Leeds extend their unbeaten run to six games and leapfrog Preston North End in the table.
Bamford opened the scoring for his sixth goal of the season from Ben White's through ball.
The home side were aggrieved, however, as Izzy Brown looked to have been fouled before the swift Leeds counter-attack.
But James Collins' powerful header from Brown's right-wing cross looked to have earned Luton a point just two minutes after Bamford had scored.
Hatters goalkeeper James Shea was the star of the first half, making decent saves to deny Bamford and Tyler Roberts, while the former also hit the post.
The Hatters should have left with a point, though, with Dan Potts heading a gilt-edged chance wide from the final passage of play before Luton slumped to another loss.
Luton Town boss Graeme Jones:
"I don't think I'm a biased manager, I think I try to be fair and try to be subjective with things.
"In my opinion, I've looked at the clips back, it's a foul on Izzy, taking his legs from him.
"We're playing Leeds United, the gulf is already big enough and when you don't get decisions like that going your way and your team has given absolutely everything they've got, it's a difficult one to swallow.
"These (Leeds) are the best team in the league, I've analysed them enough to say that. I see them cutting through teams and I mean at will, and they had more shots than us, they had possession, but we were always in the game, and that's the satisfying aspect."
Leeds manager Marcelo Bielsa:
"We had 15 chances to score, I don't link the possible foul with the possibility of scoring, you can interpret it like that, but the possible foul was 80 metres away from the opponent's goal.
"In those 80 metres, happened a lot of things that aren't linked with the beginning of the action and the development and the finish of the chance, but I can understand the opponent and maybe the supporters can link both situations.
"I think the result was fair, it was a good performance from the team.
"In the first half, it was a little bit easier for us, but in the second half we had to fight a little bit more.
"It's very difficult to win if you don't fight you don't have a good condition to play, and if you want to win, you have to right, if not you cannot."
- 11ShinnieSubstituted forBoltonat 90+1'minutes
- 24BrownSubstituted forLuaLuaat 75'minutes
- 14CornickSubstituted forMcManamanat 75'minutes
- 2AylingBooked at 53mins
- 28BerardiSubstituted forCooperat 59'minutes
- 11RobertsSubstituted forClarkeat 71'minutes
- 22HarrisonSubstituted forHélder Costaat 64'minutes
- 17Hélder Costa
- John Brooks
- Shots on Target
Second Half ends, Luton Town 1, Leeds United 2.
Attempt missed. Dan Potts (Luton Town) header from the centre of the box is high and wide to the right. Assisted by James Bree with a cross following a corner.
Corner, Luton Town. Conceded by Patrick Bamford.
Foul by Liam Cooper (Leeds United).
Dan Potts (Luton Town) wins a free kick in the attacking half.
Foul by Stuart Dallas (Leeds United).
Callum McManaman (Luton Town) wins a free kick in the defensive half.
Attempt blocked. Pablo Hernández (Leeds United) right footed shot from the centre of the box is blocked. Assisted by Hélder Costa.
Attempt saved. Mateusz Klich (Leeds United) right footed shot from the centre of the box is saved in the centre of the goal. Assisted by Pablo Hernández.
Substitution, Luton Town. Luke Bolton replaces Andrew Shinnie.
Own Goal by Matty Pearson, Luton Town. Luton Town 1, Leeds United 2.
Luke Ayling (Leeds United) wins a free kick on the right wing.
Foul by Dan Potts (Luton Town).
Attempt saved. Mateusz Klich (Leeds United) right footed shot from the centre of the box is saved in the centre of the goal. Assisted by Hélder Costa.
Corner, Leeds United. Conceded by James Shea.
Attempt saved. Mateusz Klich (Leeds United) right footed shot from a difficult angle on the right is saved in the top centre of the goal. Assisted by Hélder Costa.
Attempt missed. Stuart Dallas (Leeds United) right footed shot from long range on the left is too high. Assisted by Jack Clarke.
Corner, Leeds United. Conceded by Dan Potts.
Attempt saved. Pablo Hernández (Leeds United) right footed shot from the right side of the box is saved in the centre of the goal. Assisted by Mateusz Klich.