A woman and her two children froze to death in Logar province overnight as temperatures dropped below freezing, local officials said.
The deaths happened in Logar's Kharwar district Sunday night after the cold weather worsened and the roads through the district closed.
Heavy snowfall has also closed the roads from the Azar, Charkh and Barak-e-Barck districts to the capital of Logar.
Residents of Barak-e-Barrack told TOLOnews that they have not been able to get to food supplies, fuel or hospitals and called on the government for assistance.
Last month Amnesty International released a report saying that 17 Afghans, mostly children, had died in camps for the displaced and blamed poor government management.
Amnesty said the deaths occurred in the first two weeks of January in Kabul and Herat provinces where most of the country's half a million internally-displaced people live in makeshift camps.
But the Afghan government rejected the reports.
Last winter about 100 people, mostly children and the elderly, died in the camps. The Afghan government and international donors had been urged to prevent a repeat of the tragedy.