what jutsu style does naruto 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

naruto 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

Naruto has wind style chakra. Fire style enhances wind style. In the anime and manga there are 5 chakra elements, with wind and fire as two of them. When you USE them they are called styles. Each chakra element, (Fire, Wind, water, lightning, earth) is strong to one and weak to one. For example, fire is weak to water, because if you put water on fire, it will go out. Basically, it's logic. If you blow wind onto fire, it won't go out, the fire would grow bigger. Then there are shinobi in Naruto with kekkai genkai, when you 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 fire style.