Speaking by phone from Farah, Mehri also rejected earlier reports about the death of the provincial election chief, who he said was in a second helicopter. The aircraft were transporting supplies and logistics to government outposts.
Among the dead were the head of the provincial council and the deputy commander of the army in the western region, according to Shah Mahmoud Nayemi, deputy head of Farah's provincial council. He said the helicopter hit a mountainside.
Najibullah Najib, another army spokesman in the region, said more than 20 people were on the helicopter at the time of the crash. He said there were apparently no survivors.
The Defence Ministry in Kabul had no immediate comment.
A number of army helicopters, including one in Farah, have crashed in recent months in Afghanistan. Helicopters are the major source of transportation of troops and supplies for the country's remote and volatile areas.
Most of the army's fleet of transport helicopters are aging craft from the Soviet era. The US military, which leads the war against the insurgents, has also supplied the Afghan Army with some more-modern combat helicopters.
Separately, five people, including police, were killed in a suicide attack outside Afghanistan's main jail in Kabul.
Health Ministry officials said 10 other people were wounded. A security source said the number of casualties could rise.
No group immediately claimed responsibility for the attack, which came a day after Isis (Islamic State) said it was behind a suicide attack outside the election commission's office in Kabul.