The Flybe plane was travelling at about 900 feet (274 metres) and was about 2 miles (3 kilometres) from Cornwall Airport Newquay when it reported the incident on Tuesday, police said.
Devon and Cornwall Police conducted a search of the area but have not found the drone or operator, the BBC reported.
Inspector Dave Meredith called it "an incredibly concerning incident".
"The close proximity of the drone to the passenger aircraft shows a complete disregard by the operator for public safety and we are appealing to the public for information to help us track down this reckless drone operator," Meredith said.
"Although on this occasion there was no danger of collision, Air Traffic Control (ATC) reported this incident to the police as the drone should not have been flown in that area without ATC clearance and posed a potential danger to incoming flights," she said.
In April, there were reports that a passenger plane approaching Heathrow Airport hit a drone.
The British Airways flight from Geneva, with 132 passengers and five crew on board, was hit as it approached the London airport on April 17.
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