The win takes Pep Guardiola's team two points clear of Arsenal at the top of the table after 37 games.
Fifth-placed Tottenham's third successive defeat leaves them seven points behind fourth-placed Aston Villa.
Ao Tanaka scored the only goal after two minutes to give Japan a nervy 1-0 win over North Korea.
Son Heung-min and South Korea must move on from their turbulent Asian Cup when they return to World Cup qualifying Thursday.
Son Heung-min apologised for his role in a bust-up with South Korea team-mate Lee Kang-in at the Asian Cup and urged fans to forgive the Paris Saint-Germain player.
Jurgen Klinsmann said South Korea "have to be ready to suffer" when they face Australia in the Asian Cup quarter-finals on Friday, 72 hours after beating Saudi Arabia on penalties
Lee Kang-in has impressed since joining PSG from Mallorca last summer and said it was "a privilege" to play with his star team-mates for club and country.
Ange Postecoglou told Tottenham fans to dream after his side moved five points clear at the top of the Premier League for the first time
This was Tottenham's first win against Liverpool since 2017 when Spurs were using Wembley as their temporary home.
Inspired by Bill Shankly and Ferenc Puskas, Ange Postecoglou is the risk-taking trailblazer reviving Tottenham Hotspur with his no-fear philosophy.