The hopefuls are 45-year-old housewife Razieh Omidvar, a trained economist, and university professor Soraya Malekzadeh, also 45. Both told journalists in Tehran that their priority would be to combat astronomical inflation.
It is unclear, however, whether women are allowed to run at all in presidential polls as there are some ambiguities both in the constitution and election law.
According to the constitution and election law, the person eligible to register as a presidential candidate should be a "rejal" - an Arabic term for both distinguished men as well as VIPs.
There have been numerous discussions in recent years on whether the term "rejal" could also be associated with and adopted for women.
In the 34 years since the Islamic revolution no woman has ever seriously been considered for the presidential post, and hence those debates did not yield any concrete results.