Does Naruto ever find the identity of his parents?

He does meet his father in Pein vs Naruto. It's when Naruto starts going 8 tails in his anger because of Pein who struck Hinata and killed her.(she comes to life later on again). The fourth hokage stops him from going eight tails and they have a short conversation too. So far in all the episodes/movies/manga chapters that have happened in Naruto, Naruto has never met his mother but she is mentioned in an episode. You can read about her on narutopedia. Her name is Kushina Uzumaki. he also meets his father in the 4th naruto shippuden movie