He is very strict and often imposes discipline in a fierce way as the Dorm President, yet he is indulgent and kinder towards Yuki. Kaname has acknowledged to Rido Kuran that he has a contradictory nature, which leads him to both desiring to lock Yuki up and keep her to himself, but alternatively to watch her protectively while encouraging her to be herself. Kaname never hides the fact that he is not interested in anything else but Yuki's welfare. Every action he makes is towards one goal, and that is Yuki's safety; his greatest fear is losing her. In the Vampire Knight Fanbook, his personality section says he is capable of using cold-blooded measures to protect Yuki, who is more important to him than anyone else.
He is very determined to have Yuki live for all of eternity by his side and not only deeply fears losing her because of the ten years she spent as a human, but also because he doesn't want to experience the same heartbreak as he did the past, when the Hooded Woman sacrificed herself in his place. His solitary nature makes him rather secretive. Kaname has the Pureblood power of controlling vampires, but he chooses not to exercise this power, thus earning the respect of the Noble vampires, as mentioned by Takuma Ichijo and Akatsuki Kain. At times when he is with other vampires, he acts particularly cold and domineering, though he usually seems to treat them with detached politeness.
When Kaname became a human, his personality and his love for Yuki remains unchanged. When Ren Kiryu told Kaname that Yuki exists inside of him, he became angry[1], even though he knows nothing of Yuki. With only a fragment of Yuki in his memories, Kaname also expresses a deep desire to see Yuki again, such as wanting to get a job to hear different stories about his past to close the gap between him and Yuki. Kaname seeing and thinking of Yuki in his memory a lot often, has made his desire even more stronger. When Kaname suggest that to take out his heart will it bring her back, Ai asked Kaname if he wanted to test to see if taking his heart out will bring Yuki back. Ai says that she didn't feel him "Surprise nor fear from his behavior just now. Nor eeriness or crisis. Nothing". He was shown smiling a little.[2] While being with and looking at Ai and Ren, Kaname realizes and does not doubt that he loves Yuki. Kaname is also fully aware of Yuki's existence inside of him.