Every villager in Konoha is aware that Naruto has the Kyuubi sealed inside of him.
Is anyone in the village or elsewhere (other than Kakashi and Jiraiya, that I remember knew) aware that he is the son of Minato and Kushina?
My main doubt being: do they know that he is the son of the Fourth Hokage?
Most of them didn't know. It was a secret to protect Naruto. Just a few people knew it. I found proof on this site:
Suddenly orphaned, Naruto was left to grow up knowing nothing of his parents, receiving only his mother's last name because the Third Hokage thought that it was best that nobody knew that he was related to the Fourth Hokage.
You forgot the third Hokage (and some other Anbu's).
IMO they aren't.
After all you can see how everyone who knew that info treated him entirely different from the rest.
Edit: As Madara said,
It really was TABOO not to talk about it in the village (About the demon inside Naruto etc).
Nevertheless, I do not think it was so complicated inform those who need to know that.
Obviously they don't. He was celebrated after defeating Pain, not because he's the Fourth's son, but rather because he became the hero of the village.
Btw, I think Naruto is happier to be acknowledged as a hero because of his acts and not because he's the son of a former Hokage. The only persons that knew about the truth were: Jiraiya, Sarutobi, maybe Kakashi (we saw a lot of time that Kakashi imagines he's teacher and mentor in Naruto, maybe he realized the relationship, but he didn't know that from the beginning), and a few ANBU members who were at that place when Naruto was born.
Kakashi would have been one of the few who knew because one of his assignments as ANBU was to be a secret body guard for Minato's wife while she was pregnant. As for why people who knew who Minato married didnt put two and two together when suddenly this boy who looks oddly similar to the fourth ended up being born in their village and happend to be the one cursed to carry the burden of the price that was paid to save the village.