Police said the chopper of Kathmandu-based Mountain Helicopters, which was returning from Dolakha, came down at Shila Parbat forest area in Sindhupalchok district, which borders Tibet.
Bodies of three Nepalese and a foreigner were recovered by a soldier from Gorakh Bahadur Battalion who reached the crash site, a senior army official said.
The victims including the pilot were returning after distributing relief materials.
The identity of the foreigner was not immediately known.
The chopper, said to be flying at low altitude, met with the accident after crashing into a high tension electric line, eyewitnesses said.
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According to Tribhuvan International Airport (TIA) acting General Manager Birendra Prasad Shrestha, the helicopter had left for Dolakha from Kathmandu with relief materials. It crashed while it was returning from there.
TIA Air Traffic Controller chief Bharat Sharma informed that another helicopter has been dispatched to the site for search and rescue operations.
On May 12, a US military helicopter engaged in quake- relief operations had come down in Nepal, killing six US Marines and two Nepalese soldiers.
More than 8,600 people have been killed and over half a million houses have been destroyed, leaving a large number of people without shelter ahead of the approaching monsoon season.