Naruto might initially be in shock and disbelief. He has always been loyal to the village, so being imprisoned for no real reason would be a huge blow. He would probably start by trying to reason with his captors, explaining that he is innocent. For example, he might say things like 'I've always protected this village, why would I do what you're accusing me of?'
There's a fanfiction called 'Naruto in Captivity'. In this story, Naruto is imprisoned by an old enemy who wants to use him for some dark experiment. The fanfiction is really good at building tension as Naruto tries to find a way out while also trying to stop the enemy's evil plans. The descriptions of Naruto's emotions and his internal battles are very well - written.
He could also be more resigned in some fanfictions. He might think about his past and how he's always been an outcast in a way, and see this imprisonment as just another hurdle. So, he would bide his time, waiting for a chance to prove his innocence.
Well, one possible plot could be that Naruto's family imprisons him out of fear for his power. Maybe they think he's too dangerous and can't control his abilities, so they lock him away to keep the village safe. It could also be that there are some dark secrets in the family that they don't want Naruto to expose, so they keep him imprisoned.
One example could be a story where Naruto is framed for a crime he didn't commit by a hidden enemy within the village. This enemy manipulates evidence and convinces the village elders to imprison Naruto. Another could be a scenario where an impostor Naruto causes chaos and the real Naruto is wrongly accused and imprisoned as a result.
One possible reason could be that he is framed for a crime he didn't commit. Maybe someone with a vendetta against him planted false evidence to make it seem like he attacked a village or something similar.
Naruto is the central figure in this 'naruto imprisoned by his family fanfiction'. His family, including Minato and Kushina, are likely to be directly involved in his imprisonment. However, other characters from the Naruto universe might also play a role. For instance, Jiraiya could be a character who tries to find out why Naruto has been imprisoned and works towards his release. Also, Sasuke might get wind of Naruto's situation and decide to take action, either to help or because he sees it as an opportunity to gain an advantage.
For Naruto himself, it often shows his growth. He might be initially angry and frustrated at being wrongly imprisoned. But as the story progresses, he could become more determined to clear his name and prove his worth. It can also strengthen his bonds with his friends as they try to free him.
There could be new characters created specifically for this fanfiction. Maybe a fellow prisoner who has some special knowledge or ability that helps Naruto during his imprisonment. Or a mysterious figure who is behind Naruto's false imprisonment, pulling the strings from the shadows.
In this fanfiction, Naruto might endure the false imprisonment with dignity at first. Then, as his godlike abilities start to surface, he could use them to not only free himself but also to reform the prison system if it's corrupt. He could use his power to expose the false accusations and bring justice to those who wronged him.