Leicester City 2 Bristol City 0
David Nugent netted his fifth goal of the season after latching on to a clever through ball from Jamie Vardy midway through the first-half.
The one-time England international was involved in Leicester`s second when Andy King`s chip into the box was bundled into the visitors` net by defender Richard Foster, who was under pressure from Nugent inside the six-yard box.
Paul Konchesky and Sean St. Ledger both had to leave the game through injury after the break, but Nigel Pearson will be happy enough that his side maintained their 100 per cent league record at home.
With Cardiff City facing Ipswich Town in this evening`s late Championship fixture, victory for Leicester allowed them to climb above the Bluebirds and into first place.
Pearson named an unchanged starting eleven from the side that won 2-0 away at Huddersfield in midweek, and Leicester looked the sharper of the two sides from the start when David Nugent snuck in behind the Robins` defence after a clever pass from Anthony Knockaert, but the shot was from a tight angle and directly into the path of goalkeeper Tom Heaton.
Lloyd Dyer`s powerful shot was tipped round the post by Heaton after some trickery on the edge of the box, before Knockaert saw his low free-kick parried away for a corner.
Albert Adomah looked like the only real threat for the visitors, although he dragged his first-half shot well wide and never really troubled Kasper Schmeichel.
Leicester continued to push forward in search of an opener, and came close to breaking the deadlock when Andy King played the ball to Jamie Vardy inside the Bristol City penalty area, but the former Fleetwood striker was unable to get the ball from under his feet in time to trouble the goalkeeper.
Vardy was, however, involved in Leicester`s first goal when he played the ball over the defence for Nugent, who showed great power in brushing past the last man and coolly slotting the ball past Tom Heaton.
It was a fantastically well-worked goal by the two strikers, and one that showed the instinctive nature of Nugent and his ability to burst away from defenders.
It was no surprise to see Leicester play with confidence in the first-half, having won their last four league games, and the midfield was particularly impressive in retaining the ball and forcing the opposition into making careless mistakes.
Knockaert tested Heaton with a long-range strike ten minutes before the break, before Wes Morgan`s important block forced Albert Adomah`s effort behind for a corner.
Leicester continued to pepper away at the Bristol City goal in the second-half with shots from Andy King and Anthony Knockaert, although the hosts may be accused of taking their foot off the gas after the break.
The Foxes did double their advantage with just over fifteen minutes remaining when Andy King`s cross into the box was inadvertently headed into the net by defender Richard Foster, with David Nugent putting him under pressure.
It was a deserved second goal for Leicester, who had been the stronger of the two sides for the majority of the match, and had played with confidence and composure throughout.
Bristol City's only real chance of the second-half came when substitute Zak Whitbread was caught in possession by Stephen Pearson, but his attempt to catch Kasper Schmeichel off his line from 40 yards flew well over the bar.
Leicester almost grabbed a third goal in second-half stoppage time, but Anthony Knockaert's curling shot was well-saved by Tom Heaton.
The final whistle gave Leicester their fifth consecutive league victory, and preserved their unbeaten record this season at the King Power Stadium.
While it may seem that the October international break has now come at the wrong time for the Foxes, Nigel Pearson will be glad of the two-week break to assess the fitness of Sean St. Ledger, who was substituted mid-way through the second half after he appeared to pull up with a hamstring problem.