"The death toll is likely to go up," said an official.
"Nepali rescue teams were searching houses buried by landslides," Chief District Officer Krishna Bahadur Raut was quoted as saying.
Annual monsoon rains often trigger landslides in Nepal's mountain areas and flooding in the south.
"One rescue team has already reached the affected area," Mr Raut said. "More teams are trying to reach the affected villages by removing landslides that have affected the Pokhara-Baglung highway."
Landslides are common during Nepal's monsoon season, which begins in June and lasts until September.