Twenty-eight flights were cancelled and 26 diverted to other airports after the air traffic control problems on Wednesday.
Departure boards at the airport reportedly said that more information would be released at 7pm.
In a statement Gatwick said it was working "to rectify this issue as quickly as possible". Flights have resumed, but passengers are advised to check the status of their flight with their airline before travelling to the airport as we return to full operations.
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Gatwick Airport has suspended all flights this evening due to problems with air traffic control.
The airport spokesman said: "We're now working hard to get that back up and running".
A small number of flights were allowed to land at Gatwick after the suspension began.
A spokeswoman for Gatwick Airport said the cancellations on Thursday were a result of planes being in the wrong place following Wednesday's disruption.