Divock Origi struck the bar when through on goal in the first half
Liverpool's 68-game unbeaten run at home in the Premier League came to an end as Ashley Barnes fired home a late winner from the penalty spot to secure a famous victory for Burnley.
Barnes was tripped in the box by goalkeeper Alisson with seven minutes remaining and converted the resulting penalty to earn all the points.
Liverpool's last league loss at Anfield came nearly four years ago against Crystal Palace, and they are now six points behind leaders Manchester United at the midway point in the campaign.
Divock Origi was given his first start of the season and should have scored when he ran free on goal after pouncing on Ben Mee's error but struck the crossbar.
The hosts pushed to find the net in the second half but ran out of ideas, Nick Pope making a stunning save to deny Mohamed Salah and fellow substitute Roberto Firmino flicking an effort wide.
Burnley's shock win lifts them up to 16th in the table, seven points clear of the relegation zone.
- Relive Burnley's stunning win at Anfield
Reds out of form
Liverpool manager Jurgen Klopp said before the game he was "not worried" by his side's poor form, but the latest setback means this has now turned into a real problem.
After 19 games, Liverpool are out of form and out of confidence, failing to find the net in their last 440 minutes of top-flight action and awaiting their first victory of 2021.
They looked to be hitting their stride on 19 December when they took apart Crystal Palace 7-0, but have not won since and have scored just a solitary goal in that time, against relegation strugglers West Brom.
Their drop off at this same stage from last season is extraordinary - after 19 games last term the Reds were 13 points clear at the top with 55 points, but they have 21 fewer points now.
Aside from Pope's save to thwart Salah and stops from Origi and Trent Alexander-Arnold, Liverpool did not look a side who were threatening to find the net.
They had 72% possession but much of it was slow and ponderous, and although they had spaces out wide and put 30 crosses into the box, the resolute Burnley defenders headed and hacked clear every ball that came in.
More to follow.
Player of the match
TarkowskiJames Tarkowski
with an average of 8.59
- LiverpoolLiverpoolLiverpoolBurnleyBurnleyBurnley
LiverpoolAvgSquad number1Player nameAlissonAverage rating
3.88
Squad number23Player nameShaqiriAverage rating
3.44
Squad number3Player nameFabinhoAverage rating
3.42
Squad number32Player nameMatipAverage rating
3.40
Squad number26Player nameRobertsonAverage rating
3.37
Squad number6Player nameThiago AlcántaraAverage rating
3.32
Squad number5Player nameWijnaldumAverage rating
3.29
Squad number10Player nameManéAverage rating
3.20
Squad number11Player nameMohamed SalahAverage rating
2.94
Squad number15Player nameOxlade-ChamberlainAverage rating
2.82
Squad number18Player nameMinaminoAverage rating
2.81
Squad number9Player nameRoberto FirminoAverage rating
2.77
Squad number27Player nameOrigiAverage rating
2.67
Squad number66Player nameAlexander-ArnoldAverage rating
2.65
BurnleyAvgSquad number5Player nameTarkowskiAverage rating
8.59
Squad number1Player namePopeAverage rating
8.55
Squad number10Player nameBarnesAverage rating
8.55
Squad number6Player nameMeeAverage rating
8.52
Squad number2Player nameLowtonAverage rating
8.32
Squad number11Player nameMcNeilAverage rating
8.29
Squad number3Player nameTaylorAverage rating
8.28
Squad number18Player nameWestwoodAverage rating
8.24
Squad number9Player nameWoodAverage rating
8.20
Squad number8Player nameBrownhillAverage rating
8.20
Squad number12Player nameBradyAverage rating
8.09
Squad number7Player nameGudmundssonAverage rating
8.03
Squad number23Player namePietersAverage rating
8.03
- Line-upsMatch StatsLive Text
Line-upsLiverpool
Formation 4-3-3
1Alisson66Alexander-Arnold32Matip3Fabinho26Robertson23Shaqiri6Thiago Alcántara5Wijnaldum15Oxlade-Chamberlain27Origi10Mané
- 1Alisson66Alexander-Arnold32MatipBooked at 87mins3FabinhoBooked at 45mins26Robertson23ShaqiriSubstituted forMinaminoat 84'minutes6Thiago Alcántara5Wijnaldum15Oxlade-ChamberlainSubstituted forFirminoat 57'minutes27OrigiSubstituted forSalahat 57'minutes10Mané
Substitutes
- 7Milner9Firmino11Salah17Jones18Minamino21Tsimikas47Phillips62Kelleher76N Williams
Burnley
Formation 4-4-2
1Pope2Lowton5Tarkowski6Mee3Taylor12Brady18Westwood8Brownhill11McNeil9Wood10Barnes
- 1Pope2Lowton5Tarkowski6Mee3TaylorSubstituted forPietersat 49'minutes12BradySubstituted forGudmundssonat 65'minutes18Westwood8Brownhill11McNeil9Wood10BarnesBooked at 39mins
Substitutes
- 4Cork7Gudmundsson15Peacock-Farrell16Stephens19Rodriguez23Pieters26Bardsley27Vydra28Long
Referee:Mike DeanMatch StatsHome TeamLiverpoolAway TeamBurnleyPossessionHome72%Away28%ShotsHome27Away6Shots on TargetHome6Away4CornersHome12Away0FoulsHome11Away8Live TextPost update
Match ends, Liverpool 0, Burnley 1.
90'+5'Full Time
Second Half ends, Liverpool 0, Burnley 1.
90'+5'Post update
Offside, Burnley. Dwight McNeil tries a through ball, but Chris Wood is caught offside.
90'+4'Post update
Corner, Liverpool. Conceded by Erik Pieters.
90'+2'Post update
Attempt blocked. Takumi Minamino (Liverpool) left footed shot from the centre of the box is blocked.
90'+2'Post update
Corner, Liverpool. Conceded by Josh Brownhill.
90'+1'Post update
Attempt missed. Dwight McNeil (Burnley) left footed shot from the left side of the box is close, but misses the top left corner. Assisted by Ashley Barnes.
89'Post update
Corner, Liverpool. Conceded by Ben Mee.
89'Post update
Attempt blocked. Roberto Firmino (Liverpool) right footed shot from the centre of the box is blocked. Assisted by Trent Alexander-Arnold.
89'Post update
Attempt missed. Trent Alexander-Arnold (Liverpool) right footed shot from the right side of the box misses to the left. Assisted by Sadio Mané with a cross.
87'Booking
Joel Matip (Liverpool) is shown the yellow card for hand ball.
87'Post update
Hand ball by Joel Matip (Liverpool).
87'Post update
Attempt blocked. Mohamed Salah (Liverpool) left footed shot from the right side of the box is blocked. Assisted by Sadio Mané.
84'Substitution
Substitution, Liverpool. Takumi Minamino replaces Xherdan Shaqiri.
83'Post update
Goal! Liverpool 0, Burnley 1. Ashley Barnes (Burnley) converts the penalty with a right footed shot to the bottom right corner.
82'Post update
Penalty conceded by Alisson (Liverpool) after a foul in the penalty area.
82'Post update
Penalty Burnley. Ashley Barnes draws a foul in the penalty area.
82'Post update
Foul by Joel Matip (Liverpool).
82'Post update
Dwight McNeil (Burnley) wins a free kick on the left wing.
80'Post update
Attempt blocked. Sadio Mané (Liverpool) right footed shot from the left side of the box is blocked. Assisted by Andrew Robertson.
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- You can stream five fifth-round games live on the BBC this weekend, including Liverpool's trip to Manchester United. Find out more here.
Source: bbc.com