Brendan Rodgers' side stole the points with desires inside the closing eight minutes as Vardy installation James Maddison and then netted himself.
Burnley continue to be within the relegation sector, one factor under Everton, after their 3-recreation unbeaten run came to an lead to painful fashion.
A win or draw might have taken Burnley out of the lowest 3 for the first time given that November.
But as a substitute they'll must recover from a gut punch of a defeat that keeps their pinnacle-flight popularity in intense peril.
For Leicester, it changed into a welcome first league win in six suits considering that they beat Liverpool on December twenty eighth.
Ahead of a fixture rearranged after a coronavirus postponement in January, each teams warmed up in yellow 'Football Stands Together' t-shirts in unity with Ukraine over Russia's invasion.
Leicester have been first to threaten while Youri Tielemans stole possession from Dwight McNeil and tried his good fortune with a long-variety blast that cleared the bar.
Ricardo Pereira become a lot nearer with a snap-shot from simply inside the vicinity that forced a first-rate store from Burnley goalkeeper Nick Pope.
Burnley's Maxwel Cornet slotted domestic on the a long way put up from Aaron Lennon's move, however his celebrations were halted by using an offside flag.
