The Reds scored a hat-trick for Fabinho, Mohamed Salah and Sadio Mane in the sixth, 13 and 51 minutes, while City's only goal was scored by Bernardo Silva in the 78th minute.
Klopp praised the goal scored by Egyptian international Mohamed Salah during the game, saying, "I do not think I saw a goal like this before, it was a really special goal," according to the site of the network "Sky Sports".
Klopp praised the role of the two backs in this goal, as the ball came from the far right with Trent Alexander Arnold's foot to left-back Andy Robertson, who took it up to play a fine cross against Salah with a header in the net.
"The right-back passed a 60-yard ball to the left-back, who touched it twice before sending a cross from 40 yards that Salah met with a beautiful header, a very special goal."
"It was a good moment to score a goal like this. The third goal is also very good, a beautiful cross from Gordon Henderson to Sadio Manny who was in the right place."
"In the three goals we have been actively working, the three points are due," he said.
With this result, Liverpool dominated the top of the English Premier League table with 34 points, 9 points behind Manchester City and 8 points from Leicester City and Chelsea, their nearest rivals.