The defeat means Liverpool has lost five consecutive home games (league and all competitions) for the first time in their history, while they’re also the first reigning English top-flight champion to lose five home league games in a row.
Mason Mount scored the only goal of the game as Tuchel reached 10 games without defeat as Chelsea manager.
Chelsea are now in the fourth position on 47 points while Liverpool are seventh on 43.
Timo Werner had Chelsea’s first chance of the game after 10 minutes after he brought the ball down and fired at goal from outside the box, but it sailed wide.
Chelsea kept up the initiative, with Cesar Azpilicueta also firing off target from range.
The Blues thought they had got the lead they deserved after 24 minutes as Werner raced in behind the defence, getting to a ball over the top before onrushing Liverpool goalkeeper Alisson.
The striker then brought the ball under control so he could tap into an empty net. However, the goal was disallowed by VAR because Werner had been fractionally offside.
Shortly after, Liverpool had their first real opening, but Sadio Mane fluffed his lines – failing to connect with a cross in from the right.
Another ball over the top led to Chelsea taking the lead for good in the 42nd minute. Mount latched onto it and dribbled past Fabinho before firing past Alisson.
As Liverpool pushed for an equalizer, Jurgen Klopp sent Diogo Jota on for a first appearance since returning from injury. He replaced a less than impressed Mohamed Salah.
But Chelsea remained the most dangerous team, with Alisson having to save from Werner again.
Liverpool, without a shot on target until the 85th minute, were scrambling for an equalizer at the other end. Roberto Firmino nearly carved out a chance, but no-one could complete the move.
AFRICA TODAY NEWS, NEW YORK