Nepal Police, Nepali Army and APF personnel are now performing rescue works in the state.
Home Mnister Janardan Sharma's secretariat informed 36 have gone missing and 17 people are reported injured in floods and landslides across the country.
The coaches had stopped for a tea break around midnight Saturday in Himachal Pradesh when tonnes of rock and mud cascaded down a mountainside.
But dozens were still missing somewhere at the bottom of the ravine, with soldiers and rescuers clawing through the mud and rock to reach them.
Seventeen bodies have been recovered from the accident site in the Himalayan state, said Sandeep Kadam, a senior official at the scene.
Almost 100 people died previous year in Nepal during the rainy season, which typically begins in late June and lasts until the end of August. The rain is expected to continue in the coming days according to the Nepal Meteorological Forecasting Division, raising fears that the rivers will threaten to wash more villages away.
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Nepal government has called for assistance in the search, rescue, and distribution of relief in the aftermath of the heavy loss of life and property due to the landslide and floods in different parts of the country.
The District Natural Disaster Rescue Committee has distributed dry foods to victims in the flood-hit areas.
In the popular jungle safari resort of Sauraha in Chitwan, hotels were forced to shift their guests to higher floors as water rushed in.
Nepal Cabinet on Saturday had held an emergency meeting during which Prime Minister Sher Bahadur Deuba had ordered the local district administrations to intensify the rescue and release activities.
In the eastern city of Biratnagar an airport runway was under two feet of water, TV footage showed, leading to a suspension of flights.