Sussan Tahmasebi said she and other activists had lobbied against the measure, which they said would allow a man in the Islamic Republic to take a second wife without the agreement of his first wife. The bill also covered other family issues.
But she cautioned that the bill, put forward last year by the government of conservative President Mahmoud Ahmadinejad, had not been withdrawn and may be sent back to the legislature.
"It is a huge victory ... but the threat still looms and it still exists," Tahmasebi told Reuters.
There was no immediate comment from the government, which rejects allegations Iran is discriminating against women.
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