Leeds threatened from the outset and the Whites finally went ahead in the 58th minute as Georginio Rutter tapped home from close range after a brilliant Sam Byram header from a Dan James corner had been saved.
More chances then came United’s way but Daniel Farke’s side were then saved by an outstanding save from keeper Illan Meslier to keep out a Kiernan Dewsbury-Hall header with 95 minutes on the clock.
Leicester could have gone 17 points clear of third-placed Leeds with a victory but the Whites instead cut the gap to 11 points as they also moved to within six points of second-placed Ipswich Town in the automatic promotion spots.
Graham Smyth, the YEP’s chief football writer, hands out the scores from a brilliant night for Farke’s side at the King Power.
1. Illan Meslier
7 - Didn't have a huge amount to do for the vast majority, some of his kicking was a little wayward but pulled out a wondersave in stoppage time. Photo: Nick Potts
2. Archie Gray
8 - So composed. When Leeds were under the cosh his choice of pass helped them break. Dealt well with pressure from a very good winger. Photo: Nick Potts
3. Pascal Struijk
9 - Played on the front foot, jumped up to win the ball at the right time and passed it well. Seemed to be everywhere. Pocketed Vardy too. Photo: George Wood
4. Joe Rodon
9 - Aggressive and solid. Blocked shots, got up to win headers, used the ball well and carried it smartly at times. Photo: Michael Regan
5. Sam Byram
6 - A stinker of a first half in which he came under huge pressure but he recovered really well, aided by Summerville. Some clever defending in the second half. Photo: Michael Regan
6. Ethan Ampadu
9 - Gave the Leicester attackers and midfield a horrible time of it. Got about the pitch. Clamped down on Dewsbury-Hall. Photo: Michael Regan