Most, if not all, Ryanair flights will be grounded from next Wednesday.
The airline says a small number of flights will continue, mostly between the UK and Ireland.
From midnight tonight Ryanair will cut its flight schedules by over 80%.
All affected customers will be notified by email.
From midnight next Tuesday, March 24, the airline said: "We expect that most if not all Ryanair Group flights will be grounded, except for a very small number of flights to maintain essential connectivity, mostly between the UK and Ireland".
It advised the details of the severely reduced schedule can be found on the Ryanair website as the situation changes on a daily basis.
Customers are urged not to contact call centres as they are overloaded with customer queries.
Ryanair will remain in close contact with the Foreign Ministries of all EU governments in regard the repatriation of EU citizens and will operate rescue flights to support repatriation efforts where possible.