In the 1-0 win against Tottenham, the Reds were able to collect 61 points in the first 21 games, surpassing Manchester City's record of 59 points in the 2017-2018 title-winning season and after the 21st game.
Liverpool's start is also the most successful in the five major European football leagues.
Jürgen Klopp's team, who have won 20 league games this season and played only once against Manchester United, are now unbeaten in 38 league games, which is an entire season.
But statistics and records don't really interest Liverpool coach Klopp, who doesn't want to be distracted by the important business of winning the Premier League title.
"It's really difficult to win that number of games to be always ready to fight on your best day or worst day," Klopp told Sky Sports. "The boys do that, that's why we're here.
"The only problem is that you get nothing for the best starts except numbers.
"When people say 50 years from now that Liverpool has got off to a good start, that's cool, but the only thing we're interested in is what we can achieve in the summer, and that's not done."
Liverpool are now 16 points clear at the top of the table, and statistics can help the Reds to an elusive Premier League crown. It's been 30 years since Liverpool won a championship when Kenny Dalglish was at the helm.
But maybe the away win in North London wasn't quite as big a hit as football fans, who are biased and neutral, expect from this relentless team in Liverpool.
Roberto Firmino broke the deadlock after 37 minutes when he turned over his man, Spurs league debutant Japhet Tananga, and shot the ball into the corner. The goal was awesome, but Klopp said his team should have been 2-0 by then.
His team went on but there were no more goals and there was even a break in Liverpool's pace in the second half.
Sky Sports analyst Gary Neville thought, "Maybe it'll be boring to keep the ball?"
Attack stars Mohamed Salah and Sadio Mane both passed the target, while Liverpool's defense occasionally shook and left the door open for a Spurs team that was spurred on by fans at their home stadium.
"Part of a soccer game is the result, and I'm overjoyed about it, it's really something special," added Klopp. "But then we have to talk about performance.
"There were a lot of good games, but we should have scored more goals. We have to be honest with ourselves."
Frustration for Tottenham
Spurs manager Jose Mourinho hoped that he could be the man to end Liverpool's success story – after he dashed his title hopes in 2013/2014 with a double in the league as Chelsea manager.
Tottenham's schedule was to wait for Liverpool to make a mistake and then crash – and the plan almost worked out when Son Heung-Min and Giovani Lo Celso had golden chances.
Mourinho, in turn, fell to his knees with a rueful smile as Lo Celso pushed the ball out in the closing stages of the game.
"I can be happy and proud of what the boys tried," said Mourinho. "But yesterday we spent half an hour defending throw-ins and we lost the game through a throw-in, so it's a bit frustrating.
"I think we deserved more from this game."
Even seasoned Premier League fighter Mourinho couldn't find a way to defeat Liverpool – and it remains to be seen if any national team can.