Liverpool twice conceded their lead for the point.
Klopp said: "We did our bit. We played really good football, created incredible chances. We scored three, should have scored four, five, six but they deserved their three goals and could have had four. They did very well and that's why they deserve the result. The atmosphere was incredible and they fought really hard. We fought as well. But we have to be ready for a proper fight because they make a fight of it. We were, but we lost too many challenges in the air and that lost us momentum.
"How the boys played together tonight - I like that a lot. We played a good game. The boys didn't think that we must be superior in all situations. We fought hard and we had to. With the ball I was really happy with the performance. When the ball was in the air, not so much."
On whether Brentford are the best newly-promoted Premier League side, Klopp added: "For different reasons, yes. They are really good. The goalkeeper could have the shirt with number 10. He played a few incredible balls but it was the right thing to do against us today. Nothing to moan about."
He also said: "They deserved it. I don't think you can control them much better, we created a lot of clear-cut chances but couldn't deal with them defensively. These things happen. We should have scored more. If we win 3-2 or 4-3 we still have these struggles defensively. Toney and Mbuemo did really well. Brentford deserved a point.
"I have no problem with accepting when you play this kind of football. That's football. You have to create things to deserve to win. They deserved a point as well because they put up a proper fight."
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