Four crew members and three soldiers were among those killed in the crash of the Russian-made Mi-17 helicopter, said Defense Ministry spokesman Dawlat Waziri.
"An Afghan army helicopter crashed in northern Baghlan province due to some technical problem," he said. "An investigation is under way."
Taliban spokesman Zabihullah Mujahid however claimed the group's militants had shot down the helicopter, saying the aircraft had been trying to resupply an Afghan government checkpoint that was surrounded by militants, Reuters reported.
The Taliban often exaggerate claims about attacks on Afghan government targets, as well as against the NATO-led coalition assisting Afghan forces.
More than 100 soldiers have been besieged for almost a week in the west of Baghlan province while reinforcements try to open the roads and provide support, said Jawid Basharat, a spokesman for the provincial governor.