Yeganeh Salehi was freed on bail in the middle of last week, the Post quoted her brother-in-law as saying.
She was able to visit her husband, Jason Rezaian who holds dual US and Iranian citizenship, over the weekend and told his brother that they were both "physically healthy" despite spending more than two months behind bars.
Rezaian's high blood pressure and daily medication needs have raised concerns about his health.
Salehi, who has refused along with her family to discuss her detention, has lost her press accreditation in Iran since her detention.
It remains unclear why Rezaian, 38, and Salehi were arrested on July 22 or what charges they are facing.
Another dual Iranian-American national woman who works as a photojournalist was arrested with her husband at the same time, but they were both later released.
Last month, Iranian Foreign Minister Mohammad Javad Zarif told NPR that Rezaian was being questioned "for what he has done as an Iranian citizen."
The two countries lack diplomatic ties and have been at loggerheads over Iran's disputed nuclear program.
"It is long past time for the Iranian authorities to release Jason and to permit him and Yegi to leave the country," said Post foreign editor Douglas Jehl.
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