Rohani said seven people were injured alongside the at least 30 killed, while they were working inside the mine in Kohistan district.
Villagers had reportedly dug a 60m-deep makeshift shaft in a river bed to hunt for gold and were caught in its collapse.
Mines have been run by local communities in some cases for decades while in others, they are controlled or exploited by the Taliban or criminal networks, the study said.
Nazari said 15 workers were wounded in the incident.
The provincial officials are saying that initial reports indicate at least thirty people have died after the gold mine tunnel collapsed in Kohistan district.
"We have sent a rescue team to the area, but villagers have already started removing bodies from the site", Nazari added. A spokesman for the Governor of Badakhshan has confirmed the accident, but no casualty figures.
Families of the wounded will receive 10,000 afghanis (about $130) in compensation, while those of the dead will get 50,000 afghanis, he said.
Snow-capped mountains in Badakhshan province, Afghanistan.
The impoverished region is prone to landslides, particularly in the colder months when heavy snow blankets the province.