Liverpool went 1-0 down to Stoke in the first half thanks to a close-range header from Jon Walters.
But the Reds managed to fight back after the restart with goals from Philippe Coutinho and Roberto Firmino.
And despite the Brazilian duo's obvious impact, Klopp felt Simon Mignolet had an even bigger bearing on the result.
Simon Mignolet made a number of important saves for Liverpool in the second half
Jurgen Klopp has said Simon Mignolet saved Liverpool against Stoke
Klopp said: "Simon Mignolet, what a save [after going 2-1 up].
"The second was spectacular but both are good.
"That was genius and I am really happy for him. He saved our life today."
Liverpool fans on Twitter divided on Jurgen Klopp's tactic against Stoke
Sat, April 8, 2017
Jurgen Klopp picked a youthful starting XI to take on Stoke City at the bet365 Stadium, and Liverpool fans on Twitter can't decide whether it was genius or idiotic
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Liverpool's youthful starting XI against Stoke City divided opinion on Twitter
The result keeps Liverpool's Champions League qualification hopes alive.
The Reds sit third in table, nine points clear of fifth-placed Arsenal, who have three games in hand.