It was closed at 23.40, and there are suspicions that a drone may have been seen, says the police's duty officer Christian Tilsted to Ekstra Bladet.
At 00.30 during the night towards Friday, the airspace had been opened again.
It was the second night in a row that the airspace over the airport was closed due to a drone alarm.
At least one flight on its way to the airport was rerouted, reports the news agency Ritzau.
On several occasions, drones have flown in over Danish airports during the week, which has led to the authorities being forced to close the airspace.
The country's Prime Minister Mette Frederiksen said on Thursday that Denmark "in recent days has been exposed to a hybrid war”.
