As the Director of Camp Half-Blood, Chiron takes great pride in his students and acts as a father figure to those that have problems with their own family (like Annabeth). He is remarkably patient with all of the campers, even those that can be exceptionally hard to deal with, like Clarisse La Rue and Meg McCaffrey.

Unlike all other centaurs, Chiron is exceptionally intelligent, wise, civilized, and kind. As seen in The Lost Hero, Chiron is also honorable and just, and does not talk about the Romans, Camp Jupiter and the Demigod Civil War until the others find out, since he values the oath that he and Lupa made. Most notably, Chiron does not even tell Annabeth, whom he never withheld information from previously, not even the Great Prophecy.      

Chiron will also go out of his way or put himself in danger to protect the campers even if he knows that he may not be able to help them. The greatest example of this was when Chiron directly attacked Kronos himself, even though he knew that he stood no chance against his father. 

Chiron also has deep faith in Percy, even before Percy knew he was a demigod in The Lightning Thief. During his time as Percy's teacher at Yancy Academy, he would constantly push Percy to excel in his studies and pushed him to not only pass the class, but do so with a high grade. Even though Percy didn't manage to pass with an A, he still managed to get a decent grade. Chiron later tells Jason in The Lost Hero that he is very proud of the person that Percy had become. 

While he is calm and patient he occasionally becomes angry, during which Percy notes that Chiron's tone becomes "steely calm."