Kvernberget was opened in 1970 to serve the northern half of the county Møre og Romsdal: Nordmøre and Romsdal. But in 1972 Molde, the capital of Møre and Romsdal, opened its own airport. Originally the airport was served by Braathens S.A.F.E, who kept the domestic monopoly on services to the airport also after the deregulation of the Norwegian airline market. In 2005 it was merged into SAS Braathens.
In 2006 an upgrade of the terminal was completed, and by the end of the year a new duty-free store will be finished. By 2011 the runway has been expanded to 2,000 m (6,562 ft), allowing such aircraft as Airbus A330 and Boeing 767 to land.