It was the first time Liverpool won in five league games as Mohamed Salah and Diogo Jota helped themselves to two goals each while Cody Gakpo and Darwin Nunez also got on the score sheet.
Liverpool have largely been inconsistent this season but have occasionally hit their stride in heavy wins over Rangers, Manchester United and Bournemouth.
The display at Elland Road was one of those rare moments where almost everything clicked for the Reds but they still remain in eighth position.
Klopp was nonetheless impressed with what he saw from his boys as they took apart a hapless Leeds side.
"I think it's the best game we've played this season from all different perspectives and aspects of the game," Klopp told Sky Sports.
"I think we forced a lot of errors, but it was a really good game, sensational goals and counter-pressing – it was the best game for a long time.
"My favourite part was in the 92nd minute we chased the poor boy on the ball from Leeds. I am really happy with that game."
He added: "It's a general thing. To play good football you need stability, the stability you only get from defending, but when you are in this kind of negative flow then you make wrong decisions.
"You think to play better you have to be foremost concerned with the offensive stuff. We can be super offensive-orientated, if we react in the right moment.
"I can't explain why our counter-pressing didn't work, but tonight it clicked. It clicked in the second half against Arsenal.
"Tonight I'm not sure how many goals we scored after we won the ball back – that makes all the difference and I think we know that.
"But there is always a bit of difference from knowing and understanding and really feeling it."
