The report quoted Sousan Moshtaghian, mother of Ghoncheh Ghavami, as saying a judge released her daughter on nearly USD 30,000 bail ahead of an appeal.
"My daughter has insisted in the initial court that she is not guilty," said Moshtaghian. "We are hopeful that she will be acquitted in the appeal court."
Ghavami was detained in June after trying to attend a men's volleyball match between Iran and Italy, in defiance of a push by hard-liners to enact full gender segregation.
The case highlighted limitations placed on women inside Iran and efforts by hard-line authorities to enforce strict interpretations of Islamic norms despite a policy of greater openness being pursued by moderate President Hassan Rouhani.
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She said the family plans to hire a new lawyer for the appeal. The judiciary has said her case is linked to opposition work, not a volleyball match.
Britain had raised concerns about Ghoncheh Ghavami's trial. She is a graduate of the University of London's School of Oriental and African Studies and had been volunteering to help street kids in Iran for a few months, her brother has said.
Female photographers inside the complex were also ordered to leave, though none were arrested.
Ghavami was held along with the other protesters for a few hours before being released. She was detained again a few days later. Amnesty said she had been held in solitary confinement for much of her time at Tehran's Evin prison.