The Reds have now gone four Premier League matches without scoring a goal.
And Klopp says it is his job to get his players firing.
Speaking to Sky Sports, the German said: "We lost a game which is actually impossible to lose, but we did it, and that's my fault because my job is to make sure the boys have the right amount of confidence and make the right decisions.
"That obviously didn't work out tonight as we had the ball a lot. We created some situations, that is all OK, but in the final moment our decision-making is not right.
"That is the problem: you have the ball in the right place, then you don't shoot, then you pass. I'm pretty sure I said the same thing last week [rueful laugh]. If something doesn't work you have to try harder, longer, and make better decisions. The things that don't work are my fault. The things that work are the players.
"We've worked that long together now. If I make clear which movements make sense because it will hurt the opponent, and they don't do them, then I have to make it clearer. That's how it is. The good thing is, we can change it, we just have to work on it. And we can't work on tonight's game any more, but we can use it for the next one. I can't believe we lost it, but it's the truth and we have to accept that."