The Antonov An-26 twin-engined turboprop was en route from the regional capital Petropavlovsk-Kamchatsky to Palana, a village in the north of the Kamchatka peninsula, when it lost contact with air traffic control, the emergencies ministry said.
Citing sources, Interfax reported that the plane was thought to have crashed into a cliff as it was preparing to land in poor visibility conditions.
Russia's civil aviation authority confirmed that the plane's crash site had been found after the emergencies ministry dispatched a helicopter and had deployed teams on the ground to look for the missing aircraft.
There were 22 passengers and six crew on board, the ministry said. Olga Mokhireva, the mayor of Palana, was among the passengers, the TASS agency quoted local authorities as saying.
The weather in the area was cloudy at the time the plane went missing, Russian news agencies reported. TASS said the aircraft involved had been in service since 1982.
Russian aviation safety standards have improved in recent years but accidents, especially involving ageing planes in far-flung regions, are not uncommon.
The Soviet-era plane type, still used for military and civilian flights in some countries, has been involved in dozens of deadly crashes since it entered service around 50 years ago.
An Antonov-28, a similar plane, slammed into a Kamchatka forest in 2012 in a crash that killed 10 people along the same route. Investigators said both pilots were drunk at the time of the crash.