"Due to the precarious nature of the location, the team is working to secure the site as best they can," said Inspector Olaf Jensen, Otago Lakes-Central area commander.
The plane is a Cessna 185 fixed wing aircraft.
There have been no reports of planes missing in the area.
Police are still working to identify the route the plane was flying and to identify the pilot and passengers. There was low cloud in the area at the time.
A spokesman for the Rescue Coordination Centre said no beacon had been activated. He referred further queries to police.
The Civil Aviation Authority said it was aware of an accident but at this stage it was relying on police for more information.