The gunfire took place in the vicinity of the airport of Kabul on Sunday, according to Al Arabiya, as diplomatic personnel of several countries are being evacuated from Afghanistan.
There are no immediate reports of casualties.
The Kabul airport was reported to be in turmoil amid crowds of people rushing to flee Afghanistan after the Taliban surged in the country and established control over the capital city.
The United States and France moved their embassies to the airport on Sunday, with many countries evacuating diplomatic personnel from the country. According to reports, commercial flights from the airport have been stopped.
No further details about the reported gunfire were immediately available.