The state TV-run Youth Journalists Club quoted lawmaker Ali Aghazadeh Dafsari as saying Iran’s Revolutionary Guard shot down the plane.
Wednesday’s report did not say when the incident happened.
Iran is locked in a dispute with the US and its allies over Tehran’s disputed program, which the West believes aims to develop nuclear weapons. Iran denies the accusations.
Fordo is built next to a military complex to protect it in case of an attack. Iran only acknowledged its existence after Western intelligence agencies identified it in September 2009.