The Reds were confirmed as Premier League champions without kicking a ball on Thursday as Manchester City's 2-1 defeat at Chelsea meant they could no longer be caught.
Liverpool are 23 points clear with seven games remaining.
"I have no words," Klopp told Sky Sports.
"It's the best thing I can imagine and more than I could have ever dreamed of. It's unbelievable. Much more than I ever thought would be possible."
The German, who was wearing a Liverpool shirt during his interview and was visibly emotional, added: "Becoming champions with this club is absolutely incredible.
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