Gylfi Einarsson's first goal for Leeds gave them victory over 10-man Burnley.
Leeds had the best of the chances before they broke through in the 66th minute with Einarsson's bullet header.
Burnley then had Frank Sinclair sent off for a second yellow card but the hosts went on to create the best chances of the game.
Ian Moore was brought down in the area but saw his penalty saved by Neil Sullivan and the Leeds keeper pulled off a superb stop from Moore's header.
Burnley manager Steve Cotterill agreed Sinclair deserved to be sent off:
"No complaints with that. Frank's had a nibble at him and I've got no complaints.
"The last 20 minutes, we played like we can play, but it's amazing that when you go down to 10 men how everything kicks on, something sparks it off.
"We should have had two more penalties after that but that would have only been for 20 minutes for pinning them in there. We didn't play well enough for an hour."
Leeds manager Kevin Blackwell:
"It was three deserved points. I'm just slightly annoyed that we didn't finish the game off and, my word, we had some chances to finish the game off.
"If you don't finish teams off when you have the chance to do so it can also come back to bite you and that nearly happened.
"For 80 minutes we were a different class and the last 10 minutes was a little bit of backs to the wall."
Burnley: Jensen, Roche, McGreal, Sinclair, Camara, Oster (Valois 69), Grant, Hyde, Cahill, Branch, Moore.
Subs Not Used: Coyne, O'Neill, Pilkington, Scott.
Sent Off: Sinclair (78).
Booked: Cahill, Sinclair.
Leeds: Sullivan, Kelly, Carlisle, Butler, Gray, Lennon, Wright, Gregan, Einarsson (Pugh 87), Deane (Ricketts 87), Healy.
Subs Not Used: Richardson, Spring, Johnson.
Goals: Einarsson 66.
Ref: C Webster (Tyne & Wear).