what jutsu style does 나루토 have

Its wind style that is how he is able to use the raseng-shuriken jutsu. It combines his rasengan and his wind style type jutsu.

Naruto's chakra is a wind style. Its very rare for a person to have wind chakra as Asuma is the only other person in the
show that has it

나루토 uses shadow clone jutsu where he makes many clones of himself and makes rasengen with the help of the clone.while making many many clones he adds "taju"word at first.but the clone does not last for long time....

Its wind style

나루토 has wind style chakra. 불, 화재 style enhances wind style. In the 아니메 and 망가 there are 5 chakra elements, with wind and 불, 화재 as two of them. When 당신 USE them they are called styles. Each chakra element, (Fire, Wind, water, lightning, earth) is strong to one and weak to one. For example, 불, 화재 is weak to water, because if 당신 put water on fire, it will go out. Basically, it's logic. If 당신 blow wind onto fire, it won't go out, the 불, 화재 would grow bigger. Then there are shinobi in 나루토 with kekkai genkai, when 당신 combine two chakra elements to make a new one. Sometimes a kekkai genkai is passed down in a clan. For example, in a few of the chapters/episodes in the manga/anime, there is a character who posseses boil release, a kekkai genkai with mixture of water style and 불, 화재 style.