The Karate Kid font here refers to the font used in the poster of The Karate Kid, which is a 2010 American martial arts drama movie and remake of the 1984 movie of the same name.
The font used for the movie title in the poster above is very similar to Haettenschweiler. For the title in the 1984 movie poster, it was probably designed using Clarendon. Both are available as commercial fonts and you can view more details about them here and here respectively.
Download The Karate Kid Font
We are currently unable to find a free alternative or a font similar to the commercial font identified above, and you will need to follow the relevant links above and purchase the font.