The Blues then doubled their lead early in the second half as N'Golo Kante scored against his former club with a long-range drive.
Though Leicester halved the deficit with Jamie Vardy's strike from the penalty spot, Chelsea were able to see the game out and claim their third consecutive win.
Here is how Sports Mole covered the action in the East Midlands.
2.00pmHello and welcome to Sports Mole's live coverage of the Premier League meeting between Leicester City and Chelsea.
2.03pmThe King Power today will see a clash of the last two champions of England, neither of whom have had the best summer, in all fairness.
2.05pmAlthough Leicester kept hold of Riyad Mahrez, they lost Danny Drinkwater to the side they're playing today, while replacement signing Adrien Silva was not registered in time - 14 seconds too late in sending the paperwork to FIFA, apparently - and so cannot be called upon today.
2.07pmAs for Chelsea, they've lost the likes of John Terry and Nemanja Matic, a number of promising young players have also left, failed to recruit a number of targets including Alex Oxlade-Chamberlain and Ross Barkley, and then there's the not inconsiderable manner of the stand-off between boss Antonio Conte and star striker Diego Costa.
2.09pmOn the pitch, August was not the most joyful month for either team playing today. Leicester sit 15th in the table following a win and two defeats - granted they were against Manchester United and Arsenal - while Chelsea at least managed to claim solid wins over Tottenham Hotspur and Everton following their shock opening-day defeat to Burnley.
2.11pmThe team news are out, so let's have a look at how both sides will line up today in Leicester.
2.20pmJust the one change for Leicester as Shinji Okazaki is left out of the squad - presumably being rested after he was involved for Japan in their World Cup qualifiers over the international break and clocked up around 17,000 miles - and replaced by Islam Slimani.
2.23pmLikewise there is one change for Chelsea in their starting XI as Tiemoue Bakayoko replaces Willian, who drops to the bench.
2.25pmFormer Leicester midfielder Danny Drinkwater has been named on the bench alongside fellow new signing Davide Zappacosta, while Eden Hazard is back from injury and proved his form on international duty for Belgium - he too is among the subs.
2.28pmConte revealed that Drinkwater may have to wait a while to make his Chelsea debut, telling reporters: "We are working with him, we are trying to make him in the best physical condition. He's working well this week, he's improved his physical condition. He's in the squad but I don't know when he'll be ready to play."
2.30pmMeanwhile Drinkwater's former colleague Marc Albrighton - who starts for Leicester today - had this to say: "It will be strange for us, but it'll be stranger for him. To play in front of the fans that he played for, for so many years, but once the whistle goes, it's business as usual. He might get stick for 90 minutes, but barring that I'm sure the Leicester fans will be fantastic with him!"
2.33pmNo surprise, of course, to see N'Golo Kante start for Chelsea. Arguably the most important player in the Leicester's Premier League title win of 2015-16 and one of the key men in the current Blues line-up, he is adored by both his former and his current club, and is sure to get a great reception on the pitch today.
2.35pmYou have to feel for Adrien Silva, though. The Foxes thought they had signed him in a £22m deal from Sporting Lisbon on deadline day, but can not yet even train with Craig Shakespeare's side after FIFA rejected his registration.
2.37pmThe paperwork is thought to have missed the deadline by just 14 seconds but while the parties work to try and find a resolution, Silva will have to watch from the stands.
2.39pmShakespeare had told reporters: "I've spoken to him. I feel for the lad. It is a World Cup year for the player and he is in limbo. He is a strong character and I am sure he will be fine. We are still trying to finalise it, it is still up in the air. In truth, I don't understand it all. You identify the players then you leave the other bits to the legal people. We need to let those concerned carry on with it. Hopefully when I am told the player is ours and he can train with us, we will welcome him with open arms."
2.41pmHEAD TO HEAD: Leicester have lost 11 of the last 13 meetings with Chelsea in all competitions, with the exceptions being a win and a draw during their 2015-16 title-winning season.
2.43pmChelsea have won five of their last six away matches against the Foxes, scoring at least three goals in all of those victories, including the two encounters last season in the Premier League and EFL Cup.
2.45pmLeicester have only kept one home Premier League clean sheet against Chelsea in 11 matches against them, with Pegguy Arphexad the goalkeeper to do so in February 1998.
2.47pmThe Foxes could lose three of their opening four Premier League fixtures for the first time since the 1994-95 season, which ended in relegation, but are also vying to win their opening two home matches of a top-flight season for the first time since 1966.
2.49pmChelsea haven't won away from home in the month of September in any of the last four Premier League seasons - however, they have won 13 of their last 17 league away games and have only failed to score in two of these trips.
2.51pmPREDICTION: Chelsea stumbled on the opening day of the season but appear to have ironed out their flaws and have been impressive in their following two league games, so I can only see an away win today. Leicester should nonetheless do well despite having lost Drinkwater - and the players may be feeling downhearted about the Silva situation - but the Blues will likely be too strong. I reckon 2-0 to Chelsea.
2.54pm2017 - the year that football has gone full-blown soap opera?
2.57pmBoth sets of players come out onto the King Power pitch - not long to go now!
0 minKICKOFF! The visitors get the action underway in the East Midlands.
2 minCHANCE! A bright start from the visitors as Bakayoko powers forward and lays the ball off to Morata, who decides to have a go from 20 yards out, but Schmeichel makes a comfortable save.
4 minNow Leicester are forcing Chelsea back and Vardy sends a header goalwards, which is claimed under pressure by Courtois with Albrighton bearing down on the Blues keeper.
6 minCourtois is put under pressure again as a poor clearance allows Vardy to close in, but the keeper just gets it away from the striker's attempted block.
8 minMore pressure from the Foxes as they win a free kick on the right flank which Mahrez whips in and the ball drops to Maguire on the left, but he can't recycle it and the chance is lost.
10 minCHANCE! Alonso recycles Moses's deep cross at the back post and fires the ball towards Fabregas, who goes for the flick, but Morgan does well to turn the ball away for a corner.
11 minCHANCE! Fabregas scoops the ball over the top of the Leicester defence and into the path of Morata's run, beating the offside trap, but the summer signing's attempt to strike first time from only 10 yards out sees the ball harmlessly driven straight into the hands of Schmeichel!
14 minChelsea really getting into their stride now, they've been upping the pressure on Leicester, as Fabregas finds Moses in space down the right and forces a corner, but it comes to nothing.
17 minMorata drifts into space on the left flank and twice fails to deliver the ball into the box, the home side having kept their opponents at bay without too much hassle so far.
19 minSlimani and Mahrez link up well on the edge of the box, but the winger takes one touch too many and gets crowded out by white shirts.
21 minCHANCE! Ndidi brings down Pedro 30 yards from goal to gift Chelsea a free kick, which Luiz takes, and though he bends his effort around the wall, it's a comfortable save for Schmeichel as the ball bounces into his hands.
23 minFabregas turns the ball into space in the inside right channel for Moses, who fizzes a low cross towards the near post, but Morgan is alert to force it behind.
25 minCHANCE! Mahrez and Vardy show some good link-up play, the former setting up the latter in space in the final third, but Vardy's first-time effort sails wide of the post.
28 minAlonso sends a dangerous delivery into the box from the left-hand side, but Morgan once again is there to clear behind, and from Fabregas's ensuing corner, Schmeichel is able to claim the floated ball.
30 minVardy and Alonso come together in a 50-50 tackle, with the England man winning the ball fairly, and although the Chelsea man goes to ground, no foul is given - and rightly so.
34 minCHANCE! And it's yet another marvellous piece of defending from Morgan as Kante claims possession deep in Leicester territory and feeds Morata in space, but the Spaniard hesitates as he's about to pull the trigger and the Foxes captain is there to make the block, the loose ball then claimed by Schmeichel.
36 minAnd another one! Morata breezes in behind again but once again takes too long with his shot timing, as - who else - Morgan gets back to make the clearance!
40 minCHANCE! This time it's Kante who gets the ball taken off him and Leicester launch a counter which sees Mahrez play the ball into a path of Slimani, but the forward sees his strike well saved by Courtois.
42 minLeicester's resistance is broken as Morata finally manages to get the better of Morgan! Azpilicueta whips a pinpoint cross to the back post and the summer signing connects with a bullet header which flies straight into the Leicester net!
43 minAt the other end, Leicester force a corner and Chelsea fail to clear, the ball drops to James about 18 yards out but his effort is blocked by Bakayoko.
45 minCHANCE! Moses lets rip with a first-time effort from 22 yards, which Schmeichel has covered as he gets down and makes the stop. One minute of added time here at the KP.
3.48pmThat's the half time whistle and it's been an exciting game so far, with both Leicester and Chelsea enjoying a number of chances, but Alvaro Morata's goal on 41 minutes separates the two sides.
3.51pmChelsea have dominated possession at the King Power and have also been more clinical in getting their efforts on target, as well as winning more corners, but Leicester have had several sniffs of goal and are by no means out of it, with Wes Morgan a rock at the back for them.
3.54pmCredit to Morata though, who persevered after having been thwarted by the Leicester defence multiple times and got himself his sixth goal in seven games, though Cesar Azpilicueta was the key man there with his great cross at the back post which his compatriot nodded home.
3.59pmAs it stands, Chelsea are third in the table, behind Manchester City and Manchester United, though a lot can change in the next 45 minutes - Sports Mole will give you all the action as it happens.
46 minKICKOFF: Back underway at the KP, with Leicester making a double change. Marc Albrighton and Islam Slimani are being replaced by Andy King and Demarai Gray.
47 minChelsea pick up where they left off as Morata breaks forward, but he fails to connect with his pass to Pedro on the edge of the Foxes box.
51 minIs that game over for the Foxes? Early in the second half and they're two goals down, with the returning Kante doing the damage against his old side thanks to a low shot from all of 30 yards out which sneaks into the bottom corner!
53 minCHANCE! Chelsea have a spring in their step following their second goal and nearly rattle a third one in, Alonso finding space down the left and sending a shot skimming across the ground which is only just wide.
56 minPedro gets the better of Fuchs and sets off down the right wing before cutting back towards centre on the by-line, but Maguire snuffs the danger out.
58 minCHANCE! Chelsea are in danger of running riot here as they carve out another opportunity, Fabregas breaking into the Leicester box following a clever one-two with Pedro down the right flank, but from a tight angle, he blasts a shot high and wide.
60 minAn hour in and a tentative foray from Leicester sees a long throw lumped into the Chelsea box, which Courtois rushes out to punch clear.
61 minPENALTY! And Leicester have a chance to halve the deficit after Vardy gets brought down by Courtois in the area! The England striker opts to take it himself...
62 minGOAL! LEICESTER 1-2 CHELSEA (JAMIE VARDY, PENALTY)
63 minAnd the deficit is duly halved with Leicester right back in this! Vardy, on his 200th league appearance, opts to fire his spot kick right down the middle and it's the right guess as Courtois dives to the side and can't keep it out! Game on!
64 minSUBSTITUTION: Willian replaces Pedro for Chelsea as Conte urges his charges not to lose their cool.
65 minPENALTY SHOUT! Gray stumbles in the box and the ball strikes his arm when attempting to tackle Moses, prompting Chelsea to shout for a penalty - waved away!
66 minCHANCE! Chelsea play on following the penalty shout and Alonso collects the ball 25 yards from goal before deciding to have a go from range, but it sails over the bar.
69 minCHANCE! Luiz links up with Morata and decides to attempt a volley from 18 yards out, but only manages to blast the ball over the bar.
71 minLeicester win a free kick which Mahrez takes, Chelsea clear their lines but a clash of heads on the edge of the box between James and Moses stops play.
73 minSUBSTITUTION: Davide Zappacosta is on for his Chelsea debut, while Victor Moses, who took a knock, is replaced.
76 minFuchs launches a delivery into the box with Vardy looking to connect with the ball, but the striker catches Courtois as the Belgian claims the cross.
77 minSUBSTITUTIONS: One apiece as Kelechi Iheanacho replaces Matty James for his home debut, while Eden Hazard comes on in place of Cesc Fabregas for his first appearance of the season.
80 minCHANCE! Nearly a dream debut for sub Zappacosta as he collects from Hazard in the box and drills his effort across the face of goal, missing the far post by inches!
82 minPENALTY SHOUT! Alonso's cross into the box is met by the head of Morata eight yards out, the ball is blocked by Maguire's outstretched arm, but once again, the ref waves the appeals away!
85 minCHANCE! Willian cuts in from the left and curls an effort towards the far corner but it whistles inches past the post!
90 minA relatively calm final couple of minutes of the 90 as four minutes of added time are announced.
90+1 minCHANCE! Chelsea close to killing it off as Mahrez gives the ball away and allows the visitors to break, but Willian's effort is thwarted by Schmeichel's outstretched arm.
4.51pmSo that's full time and Chelsea's post-Burnley revival continues with a narrow win over Leicester City, who gave the champions a scare but ultimately did not have enough to claw themselves back into it after the visitors edged two goals ahead.
4.53pmThat's all we have time for here at the King Power Stadium but Sports Mole will be bringing you match reports, reaction and all the latest football news from yet another exciting Saturday in the Premier League! Thank you for following and, until next time, goodbye!