Match ends, Chelsea 1, Liverpool 2.
Liverpool boss Jurgen Klopp says his side do not have to compete with Manchester City's style as the two clubs battle at the top of the Premier League.
The Reds were not at their attacking best at Chelsea on Sunday but earned a 2-1 win to maintain their five-point lead over City at the top.
Pep Guardiola's side, meanwhile, swept aside Watford 8-0 on Saturday.
"This type of football not a lot of teams can play," said Klopp.
"But we play in our way, we try to win football games.
"In the end we need to get the points, there is no competition in technical things, it is about the points."
Klopp's title pace-setters looked on course to win in comfort as Trent Alexander-Arnold's magnificent free-kick and Roberto Firmino's header gave them complete control at the interval.
Chelsea, who had been denied an equaliser when Cesar Azpilicueta's close-range effort was ruled out for offside by VAR, were in no mood to capitulate and made Liverpool fight every inch of the way to maintain that perfect record.
Tammy Abraham had chances to increase his tally of seven goals this season, particularly when he was denied by Liverpool keeper Adrian when clean through in the first half, but it was left to N'Golo Kante to set up a grandstand finish with a superb strike with 19 minutes to play.
Liverpool, however, held on, surviving missed chances from Michy Batshuayi and Mason Mount, to take the three points.
"It's a difficult place to come, it's a while ago that we won here. It's a big win," Klopp added.
"The boys did really well, they fought really hard. I don't think there is any other way to win here. It's a big win."
Liverpool bandwagon rolls on
Liverpool remain unstoppable in their Premier League duel with Manchester City after one of those victories all potential champions will need to secure if they are to claim the big prize at the end of the season.
Jurgen Klopp's side have made a habit of unleashing an attacking blitz on opponents in a remarkable run of only one league loss since the start of last season, their winning sequence now extended to 15 games.
This was totally different.
Liverpool may have looked to have been on cruise control with that interval advantage, but Chelsea were always in this game and pressed the league leaders right until the final whistle.
They were far below their best, were more sloppy than usual and on occasions looked jaded - but they still emerged victorious from what is traditionally one of the most hazardous away assignments on the calendar.
Over the course of a long campaign, a season Liverpool will hope will end their 30-year wait for the title, it is victories on days such as this that will be vital, if not more so, than the days when opponents are blown away.
Klopp's delight at the final whistle, in contrast to some of his expressions of fury during the game, said it all.
This was a crucial victory. Liverpool's bandwagon rolls on.
Chelsea and Lampard can take heart
Chelsea have still to win at home in the Premier League and Champions League this season, and no defeat by Liverpool is anything other than an acutely painful experience.
And yet, despite this loss coming hard on the heels of the home defeat by Valencia in their opening Champions League group game, Chelsea manager Frank Lampard will take great comfort and confidence from the performance of his team.
This is a new Chelsea, leaning heavily on youngsters such as Mason Mount, Fikayo Tomori and Abraham, and being built in a new style by Lampard.
When Liverpool went two up through Firmino's header after poor marking at a free-kick, the goal coming moments after Azpilicueta's apparent equaliser had been overruled by VAR, it would have been easy for Chelsea's heads to drop.
Nothing could have been further from the truth as they pressed and pressurised Liverpool until the final whistle before receiving a warm and appreciative ovation from the Chelsea supporters.
Goalkeeper Kepa Arrizabalaga may have kept them in it with a magnificent save from Firmino but Chelsea, driven by the magnificent Kante, were left cursing those late missed opportunities for Batshuayi and Mount that could have earned them a point.
No Chelsea defeat is easy to take, especially against Liverpool, but this was a performance that will give Lampard hope and encouragement.
Man of the Match - N'Golo Kante (Chelsea)
We have to carry on - what they said
Chelsea boss Frank Lampard: "Performance-wise we were the better team. We had more energy in our game, character and spirit. That's why the crowd applauded at the end. Let's take this forward."
On VAR: "We have to get on with it. It is a sad thing for the celebration and the moment but if we are looking for correct decisions that is where we are at. It changes the atmosphere in the crowd, on the pitch. We are slightly deflated and they get a boost. We deserved to be level at that point."
Liverpool boss Jurgen Klopp: "The first half was hard work. It is about momentum in games like this and I think we got that in the first half. We scored two wonderful goals and we could have scored directly after half time two more. We deserved the three points, it is difficult to win here."
"We are only here. Chelsea, six matches in. We haven't won anything domestic apart from games so we have to carry on. We have to be ready for each opponent. They are all waiting and want to give us a knock, rightly so, but we have to be ready to do what we have to do."
Reds closing in on City's record - the stats
- Chelsea have conceded 13 goals in their six Premier League matches this season - their most after six league matches of a season since 1978-79 (also 13), when they went on to finish bottom of the First Division.
- Liverpool have won consecutive Premier League matches against Chelsea for the first time since a run of four wins between November 2010 and May 2012.
- Liverpool have won their last 15 league matches - the only team with a longer winning run in top-flight history is Manchester City (18 between August and December 2017).
- Chelsea have lost consecutive home matches in all competitions for the first time since April 2014, when they lost against Sunderland and Atlético Madrid.
- Jurgen Klopp managed his 150th Premier League game today - he has registered 92 wins in those games, with only José Mourinho (105) winning more in his first 150 matches in the competition.
- Frank Lampard is only the second Chelsea manager to fail to win any of his first four home matches in all competitions (W0 D2 L2), after Bobby Campbell in 1988.
- Since the start of the 2018-19 season, Liverpool have scored 34 goals from set-piece situations in the Premier League - seven more than any other team.
- Chelsea have failed to win any of their opening three home Premier League matches in a season for only the second time, also doing so in 2001-02 during Frank Lampard's first season there as a player.
Attention turns to the League Cup as Liverpool head to League One side MK Dons on Wednesday (19:45 BST), while Chelsea host League Two Grimsby on the same day (19:45 BST).
- 4ChristensenSubstituted forZoumaat 42'minutes
- 29TomoriBooked at 20mins
- 33EmersonSubstituted forAlonsoat 15'minutesBooked at 90mins
- 17KovacicBooked at 84mins
- 9AbrahamSubstituted forBatshuayiat 77'minutes
- 66Alexander-ArnoldBooked at 57mins
- 4van Dijk
- 14HendersonSubstituted forLallanaat 84'minutes
- 3FabinhoBooked at 78mins
- 11SalahSubstituted forGomezat 90+2'minutes
- 10ManéSubstituted forMilnerat 71'minutesBooked at 86mins
- Michael Oliver
- Shots on Target
Second Half ends, Chelsea 1, Liverpool 2.
Willian (Chelsea) wins a free kick in the defensive half.
Foul by Roberto Firmino (Liverpool).
Marcos Alonso (Chelsea) is shown the yellow card for a bad foul.
Foul by Marcos Alonso (Chelsea).
Andrew Robertson (Liverpool) wins a free kick in the attacking half.
Substitution, Liverpool. Joseph Gomez replaces Mohamed Salah.
Attempt missed. Jorginho (Chelsea) right footed shot from outside the box is close, but misses the top right corner. Assisted by Marcos Alonso.
Willian (Chelsea) wins a free kick in the attacking half.
Foul by Andrew Robertson (Liverpool).
Attempt missed. Mason Mount (Chelsea) left footed shot from the centre of the box is too high. Assisted by Marcos Alonso.
Corner, Chelsea. Conceded by James Milner.
Attempt missed. Michy Batshuayi (Chelsea) header from the centre of the box is close, but misses to the right. Assisted by Marcos Alonso with a cross.
James Milner (Liverpool) is shown the yellow card for a bad foul.
Kurt Zouma (Chelsea) wins a free kick in the attacking half.
Foul by James Milner (Liverpool).
Mateo Kovacic (Chelsea) is shown the yellow card.
Foul by Mason Mount (Chelsea).
Georginio Wijnaldum (Liverpool) wins a free kick on the right wing.