Both sides struggled to find a finishing touch before Alvaro Morata nodded in Cesar Azpilicueta's searching pass to put Chelsea ahead before half-time.
The visitors pressed home their advantage after the break as former Foxes midfielder Kante, gifted time and space, drilled home low from 30 yards.SBOBET
In contrast to fellow ex-Leicester midfielder Danny Drinkwater, who received a mixed reception after his deadline-day move to Chelsea, Kante had earlier been warmly received by the Leicester crowd.
"It is always special to play my old team.SBOBET
I had an amazing year here but when I come I try to win," said Kante, who was part of Leicester's title-winning side.
"It is always a pleasure to score but I keep my celebration inside because I want to respect my old team."
Chelsea appeared to be cruising to the points after Kante's strike but a foul by Thibaut Courtois saw Leicester awarded a penalty that Jamie Vardy converted, sparking the hosts into life in a frenetic final half-hour.
But it was Chelsea substitute Willian who came closest to adding to the scoring with a curling strike just wide of the post.
Leicester, who slip to 17th, have now lost six of their last seven home games against Chelsea.SBOBET