A simlar debate was created just a few weeks back, I am going to re-post what I said there:

Everyone knows who the greater fighter was, Norris himself may have never admitted it in public, but he knew he was not a match for Lee.

The claim presented in the video can be disputed as Chuck Norris never admitted publicly his inferiority to Lee, but then again, why would that man lie?

Bruce Lee was a one off, and fact that he didn't hold the man made title Norris held (i.e. International Karate Championship) is quite frankly irrelevant in my mind.

Lee was the first person to utilise and amalgamate the skills of multiple martial arts (which is incidently a common practice today), Bruce Lee famously quoted (I'm paraphrasing) that martial arts consists of learning to move like water, I don't need to see Norris and Lee for for real, I can watch Lee move, and know, and "evidently" Norris knew as well, that Lee was by-far the superior fighter.

Bruce Lee by far He trained himself way to hard to be the best and in the end training too much took His life.

Have any of you watched Way of the dragon? Bruce Lee beats the SHIT out of Chuck Norris. Stupid internet memes aside, Bruce Lee would have murdered Chuck Norris if they had a serious battle.