Torrential downpours have destroyed homes and infrastructure in more than a dozen districts since Friday morning, and forced families to climb into trees to escape the rapidly rising waters.
According to local officials, another 10 people were missing and the death toll is likely to grow as much of the country is under water.
The coaches had stopped for a tea break around midnight Saturday in Himachal Pradesh when tonnes of rock and mud cascaded down a mountainside.
Police said they recovered six bodies.
"Pained by the loss of lives due to landslide-related accidents in HP's Mandi district", he posted on Twitter, using the acronym for Himachal Pradesh state.
Dozens of elephants and rafts have been deployed to rescue almost 500 people trapped by floods in a popular resort in southern Nepal, officials say. Monsoon rains from June to September are important for farm-dependent Nepal, but they also cause havoc each year.
Last weekend in the central lowlands, four girls from the same family drowned when they fell into a flooded roadside ditch.
Nepal's weather department issued an alert Saturday warning that heavy rains were expected to continue for another day, and advised districts to close schools and residents to stay indoors.
"It has left extensive damage", said Dipak Kafle, a spokesman for Nepal's Home Ministry. In the eastern city of Biratnagar an airport runway was under two feet of water, TV footage showed, leading to a suspension of flights.
Prime Minister Sher Bahadur Deuba has instructed administrators in flood-hit districts to expedite rescue and relief efforts.
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