Leicester dominated the first half but only went in one goal ahead thanks to David Nugent's 11th strike and seventh converted penalty of the season after Jamie Vardy had been bundled over.
The Foxes were made to pay for their poor finishing as Burnley equalised moments after the interval through their top scorer Danny Ings, who was able to bring down Kieran Trippier's cross and tuck home.
A point each allowed Queens Park Rangers to grab top spot in the league thanks to their victory over Blackpool later in the afternoon.
Here, Sports Mole dissects the action at the King Power Stadium.
On target 3
On target 2
Was the result fair?
Probably not. Leicester had many more chances and will be kicking themselves for not making it 10 wins out of 11 at home. Burnley might feel that the penalty was slightly dubious but Leicester fully deserved their half-time lead. Surely Nigel Pearson would have told his players to expect Burnley to come out firing and he will have been so angry at the way the equaliser went in with some slack defending from the home side. Both team had chances to win it but it was Leicester who had the best ones. On another day they might have scored three or four.
As mentioned, Pearson will probably be most annoyed that his side could not put this game to bed. Apart from his penalty, Nugent was fairly innocuous as his strike partner Vardy squandered the best openings. Defensively, Burnley's firing front two of Ings and Sam Vokes were for the most part kept quiet, but when Leicester left Ings on his own in the box, he made them pay. Leicester's brightest sparks were actually on the wings, with Anthony Knockaert and Lloyd Dyer both very lively.
Sean Dyche will be delighted that his side achieved a draw considering Leicester's home record and the fact that it was not Burnley's best display but they still came away with a point. Ings took his goal well but was defended pretty well by Wes Morgan and Liam Moore. The defence looked quite ragged especially in the wide areas as Trippier and Ben Mee struggled with the pace and cleverness of Dyer and Knockaert.
Sports Mole's man of the match
Lloyd Dyer: Dyer was a contender for November's Player of the Month and continues to play well after an energetic display today. Trippier has been one of the best players in the league this year but was shown up by Dyer's sheer pace down the left. He got into a lot of good positions but was let down by poor passing on a number of occasions.
Vardy had a couple of bad misses but this award goes to Leicester right-back Ritchie De Laet for playing a back-pass straight to Vokes. The Burnley frontman just had Kasper Schmeichel to beat but was denied by a brilliant save from the Dane.
Andy D'Urso had a solid game and will feel that he correctly awarded Leicester their penalty as Vardy was clearly impeded even though he had overran the ball.
Leicester: It does not get any easier for Leicester as they travel to now league leaders QPR next Saturday.
Burnley: Burnley will be hoping for a draw in that game as they host ailing Blackpool.