The meeting at Anfield ended 4: 3 in favor of the home team.
The teams alternately exchanged goals already from the 4th minute of the match, when the penalty was converted by Liverpool forward Mohammed Sallah.
In the 12th minute Jack Harrison scored for Leeds.
The home team took the lead again with Virgil van Dijk's goal in the 20th minute.
The guests restored parity on the scoreboard ten minutes later.
The goal was scored by Patrick Bamford.
In the 33rd minute, Salah again hit the rivals' goal.
Leeds equalized for the third time following a goal by Mateusz Klich in the 66th minute.
The victory for Liverpool was brought by the third goal of Salah, who again converted a penalty in the 88th minute.
Earlier it was reported that Arsenal defeated Fulham in the opening round of the Premier League.