Board Thread:Naruto Discussions/@comment-25866907-20150220224824/@comment-25506982-20150221105758

Mr.Xenoblade wrote: Well, I know they are related, but does Naruto (not us) ever learn during the show that Tsunade is a distant relative?

Sort of, when Kushina told him the story of the Uzumaki and Senju relationship. But they never explored it beyond that. He already knew about Tsunade's relationship to the First Hokage since Part I. I'm sure Tsunade knew all along since she also knew about Naruto being Kushina's (and Minato's) child.