The jet went down in a Taliban-controlled area in the central Ghazni Province, Ariana News said, citing the Ministry of Interior Affairs.
A source told local TOLOnews that “special forces” would be dispatched to the site.
There were no immediate reports about any casualties.
Footage purportedly from the site of the crash shows a large plume of smoke rising in the sky.
There were conflicting reports about the owner company and type of the plane. Citing sources, media described it as a military jet belonging to the US troops.
Earlier reports said it was a passenger plane of the national carrier, the Ariana Afghan Airlines.
However, the airline’s acting CEO, Mirwais Mirzakwal, told Reuters that the crashed aircraft did not belong to the company.
The regional governor’s office, meanwhile, told 1TV news channel that the aircraft belonged to a “foreign airline”.