So far, 11 bodies have been pulled from the debris in the Sindhupalchowk district, about 75 miles east of the capital, Kathmandu.
Government administrator Baburam Khanal said police, soldiers and villagers are searching for at least 15 other people who are believed to have been buried.
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The landslide struck early on Sunday, sweeping away three villages before halting at a river.
Continuous rainfall made conditions difficult for rescuers on Sunday.
Weather conditions have improved in the area, allowing the rescuers to access the higher ground, the spokesman said.
Landslides are common in mountainous Nepal during the monsoon season which usually ends in September.