Blasts were heard in the central province of Isfahan, although it is not clear what was targeted.
Iran is on high alert after Israel said it would respond to an Iranian attack against it on Saturday night.
Iran fired more than 300 drones and missiles in its first ever direct attack on Israel, bringing a years-long shadow war between them into the open.
Almost all the Iranian drones and cruise and ballistic missiles were intercepted by Israeli air defences with support from the US, UK and other allies, the Israeli military said.
Several ballistic missiles hit an airbase in the Negev desert. A young Bedouin girl, who was seriously hurt by falling shrapnel, was the only reported injury.
Iran launched its unprecedented attack in retaliation for an Israeli air strike on a consulate building in Syria on 1 April, which killed two top generals, and had signalled that it did not seek further escalation.
Iranian media have not reported any direct impacts from Friday’s Israeli strike and the global nuclear watchdog, the International Atomic Energy Agency (IAEA), has said no nuclear sites were damaged. There has been no official Israeli comment.
Isfahan province is home to a large airbase, a major missile production complex and several nuclear facilities.
Iran’s semi-official Fars news agency, which is close to the Islamic Revolution Guard Corps (IRGC), said explosions were heard near Isfahan International Airport and an army base in Isfahan city, activating local air defence systems.
Video from Isfahan posted on BBC Persian’s Instagram account shows orange flashes in the night sky and the sound of what appears to be bursts of anti-aircraft fire.
In recent days, Iranian leaders had warned that any Israeli attack on Iran would trigger a swift response. There have been attempts among the international community to de-escalate the crisis, with calls for restraint.
On Thursday, UN Secretary General António Guterres said there had been “perilous escalation” between Israel and Iran.
“One miscalculation, one miscommunication, one mistake, could lead to the unthinkable – a full-scale regional conflict that would be devastating for all involved,” he told the Security Council.