Philippe Coutinho scored a brilliant goal in the first half of the game and Jamie Vardy had a penalty saved as Liverpool survived a Leicester fightback to end their run of four games without a win
Coutinho set up Mohamed Salah in the 15th minute for the opening goal and then struck a majestic free kick to give his side a second goal in the 23rd minute at the King Power Stadium.
Shinji Okazaki poked home from close range just before half time to give Leicester City much needed hope going into the break.
Jordan Henderson netted from a Liverpool counter attack to make it 3-1 , but the hosts responded a minute later when Vardy headed into an empty net after Simon Mignolet pushed Demarai Gray’s shot into his path.
Vardy had a chance to make it 3-3, but fluffed his lines from the penalty spot, thus giving the Reds an opportunity to avenge their midweek Cup defeat at the hands of the Foxes.