Police official Ramesh Thapa said there was no information on the turboprop Twin Otter aircraft and a search was underway.
There were six foreigners on board the plane, including four Indians and two Germans, a police official, who was not authorized to speak to the media, said on condition of anonymity.
It has been raining in the area for the past few days but flights have been operating normally. Planes on that route fly between mountains before landing in a valley.
It is a popular route with foreign hikers who trek on the mountain trails and also with Indian and Nepalese pilgrims who visit the revered Muktinath temple.
In 2016, a Tara Airlines Twin Otter flying the same route crashed after takeoff, killing all 23 people aboard. In 2012, an Agni Air plane also flying from Pokhara to Jomsom crashed, killing 15 people. Six people survived. In 2014, a Nepal Airlines plane flying from Pokhara to Jumla crashed, killing all 18 on board.
In 2018, a US-Bangla passenger plane from Bangladesh crashed on landing in Kathmandu, killing 49 of the 71 people aboard.