EasyJet will resume some flights on June 15, with all passengers and cabin crew told to wear face masks.
The low-cost airline announced that it would restart a small number of routes where there is enough customer demand.
The initial schedule will include domestic routes across the UK and France.
As part of new safety and hygiene measures, there will be no food sold during flights, and enhanced cleaning of planes. Disinfection wipes and hand sanitiser will be made available to passengers.
EasyJet chief executive Johan Lundgren said that "these are small and carefully planned steps."
The airline admitted on Tuesday that nine million of its passengers had their email addresses and travel details exposed in a highly sophisticated attack.
But it says there is no evidence that any personal information of any nature has been misused.