Acctullay Naruto did become a jonin.
When Naruto was proved to be one of the most important points of the allied shinobi forces win in the 4'th great shinobi world war, He became a jonin.
After the war as you know, Kakashi Hatake was promoted to kage level.
After naruto and saskue fight, Kakashi did assign Naruto to jonin rank.
Do you guys remember when Shikamaru bought Naruto back to the academy? And when Naruto called Kakashi 'Sensei' Shikamaru said "Well, It's more like lord Hokage"
Please watch the clip you will understand.
Also If an admin is reading this, please ask pepole to fix this. Ask them to edit every single sentence where it says Naruto is a genin Hokage.
Note: I will not make ANY edit about this topic unless any admin gives permission.