The Hokage rules over Konohagakure. The Kazekage rules over Sunagakure. The Mizukage rules over Kirigakure. The Raikage rules over of Kumogakure. The Tsuchikage rules over Iwagakure.
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To kill the Third Hokage. He did kill him, but then his arms were useless until Kabuto healed him. !- NarutoFan2000
Over the 2 years since the last episode of naruto from naruto shippuden, within that 2 years Gaara become Kazekage of his village. Naruto becomes extremely jelous which seems to strengthen his hopes to becoming Hokage in his village Episode #2 - Naruto Shippuden (is when you find out)
Forth Kazekage.
So far, he hasn't become Hokage. However, it's been Naruto's dream since the first chapter, and he's shown remarkable progress since the beginning. Right now, Tsunade has resumed her post as Hokage (she fell into a coma after the invasion of Konoha by Pain and Konan, so Danzo became Hokage. However, Danzo was killed in a fight with Sasuke and Madara, so Kakashi was supposed to become Hokage. Just before he was to be instated as Hokage, Shizune ran into the room saying that Tsunade had woken up, so she resumed her post). It is quite likely, however, that Naruto will fulfill his dream and become Hokage. Many of the characters support Naruto's dream, including Gaara (who, as you probably know, is the Kazekage) and Granny Chiyo.
Rokudaime Hokage