"I would love to [continue directing]. It was a really an amazing and unique experience," she told The Wall Street Journal on Wednesday. "But, I'm in the early stages, it feels like I need to get this one out into the world first before focusing on another."
Portman, who played Jane Foster, an astrophysicist and love interest, opposite Chris Hemsworth in two Thor movies, also confirmed that she won't be returning to the blockbuster franchise.
"As far as I know, I’m done," she told the newspaper. "I mean, I don't know if maybe one day they'll ask for an Avengers 7 or whatever, I have no idea. But as far as I know, I'm done, but it was a great thing to be a part of."
Marvel Studios President Kevin Feige previously confirmed that Portman would not be appearing in next year's Thor: Ragnarok, which was filming in Australia last month.
While speaking with the Empire Film Podcast, Feige said there were "many reasons, many of which are in the film," as to why Portman's character would not be part of the new sequel and said fans would have to watch the film to find out why.
A Tale of Love and Darkness is based on the memories of best-selling author Amos Oz, and chronicles his childhood in Jerusalem in the years before Israel became an independent state. The film opens in select theaters on Aug. 19.