Jurgen Klopp’s side are now two points clear of the reigning champions, who have a game in hand, with Naby Keita’s goal after 15 seconds setting the tone for a dominant display.
Winning possession high in Huddersfield territory, the Guinea midfielder swept a close-range effort into the bottom left corner from Mohamed Salah’s pass to record the Reds’ quickest goal in a Premier League match.
It was also Liverpool’s 100th goal in all competitions this term, and they doubled their lead when Sadio Mane glanced Andrew Robertson’s superb cross into the bottom right corner.
Salah then lobbed Town goalkeeper Jonas Lossl on the stroke of half-time to deliver a third after running on to Trent Alexander-Arnold’s ball forward.
While Huddersfield twice went close to scoring through Juninho Bacuna and Karlan Grant, it remained largely one-way traffic after the break.
Salah and Keita both went close to their second goals of the evening before Mane headed in his second from Jordan Henderson’s cross to briefly become the Premier League’s joint-top scorer, on 20 goals.
However his Egyptian team-mate Salah regained that honour, converting from another Robertson delivery in the closing stages to move on to 21 goals, sealing a fine team performance.
Liverpool have now amassed more points than Arsenal’s unbeaten “Invincibles” team of 2003-04 and have 12 points more than the Manchester United Treble-winning team of 1998-99.
No team has ever reached this number of points (91) and not gone on to win the title.
Manchester City, though, can regain top spot if they win their game in hand at Burnley on Sunday (14:05 BST), after which both teams have two games left.