"The law prohibits women from being president," said hardline cleric and former judiciary chief Ayatollah Mohammad Yazdi, quoted by the Mehr news agency.
Yazdi is a prominent member of Iran's Guardians Council, an unelected watchdog controlled by religious conservatives and appointed by Iran's supreme leader Ayatollah Ali Khamenei that is tasked mainly with vetting candidates.
The vetting process is designed to ensure candidates are faithful to the principles of the Islamic republic and its official religion.
A final list of hopefuls who can contest the June 14 poll is expected to be announced early next week. Some 686 people, including 30 women, registered their candidacy last week.
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Yazdi said that under the constitution only men can run for the presidency, but did not specify if this was his interpretation or that of the council.
In 2009, the watchdog's spokesman, Abbasali Kadkhodai, said there was no restriction on women standing for president.