They beat Manchester City 3-2 in a pulsating game at Anfield.
Liverpool took a 2-0 lead in the first half, thanks to goals from Raheem Sterling and Martin Skrtel.
City drew level, through a goal from David Silva and an own goal from Glen Johnson.
But Philippe Coutinho scored the winner with an excellent finish, after a mistake from Vincent Kompany.
The win moves Liverpool seven points clear of City, who have two games in hand.
Chelsea remain in second- two points behind Liverpool- after their 1-0 win at Swansea- thanks to a goal from Demba Ba.
Meanwhile, Hull City will play Arsenal in this year's FA Cup Final.
Hull came from 2-1 down to defeat League One Sheffield United 5-3 in their semi-final at Wembley.