However, the airfield only reopened for a mere 44 minutes before being closed again after a further sighting of the drones.
Passengers have been warned disruption could continue on Thursday.
Social media users spoke of flights being forced to head to other United Kingdom airports, including London Heathrow, Luton and Manchester.
Flights through Gatwick Airport have been suspended after reports of drones flying over the runways.
There were multiple reports of drone sightings since the initial report of two drones at 9.03pm local time on Wednesday (Thursday 5.03am, Singapore time), Gatwick said in an earlier statement.
A police helicopter circulated the airport looking for the drones. It is thought more than 50 flights were affected.
Any problem at Gatwick causes a ripple effect throughout Britain and continental Europe, particularly during a holiday period when the air traffic control system is under strain.
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FILE PHOTO dated 16/1/2016 of Gatwick airport which remains closed this morning after drones were spotted over the airfield last night and this morning.
"Our focus is now on working, with the airport community, to catch up on the flight schedule", the airport spokesman said.
A spokeswoman added that airlines were working to provide hotel accommodation or transport for those whose flights were diverted.
Passengers due to take off reported planes being stuck on the Tarmac for more than an hour.
Gatwick advised anyone flying from the airport, or collecting someone, to check the status of their flight.
The 27-year-old said passengers were having to get taxis back to Gatwick after they were finally allowed off the aircraft.