The cable was repaired just before midnight and air traffic control was able to resume normal service on Wednesday morning.
“Everything was back to normal this morning. The connection has been fixed and is working exactly as it should,” said airport manager Dot Gade Kulovuori.
The problems resulted in the cancellation of nine Ryanair and Wizzair flights.
“There were also a few flights redirected to Arlanda and Norrköping,” said Kulovuori.
No charter flights were affected by the closure.
The airport has not yet calculated the cost of the temporary shutdown, or who will have to foot the bill.
“We had to call in extra staff, which has meant a lot of extra work for us. But I haven’t had time to look at what it will cost,” said Kulovuori.