Spanish authorities have brought in strict travel restrictions for flights to, from and within Spain from Monday (tomorrow).
The airline said it will operate their normal schedule today (Sunday) and Monday 16 March to try and allow as many people as possible to return home.
However, all flights from March 17 will be cancelled with the flight ban due to continue until at least March 29.
Only a number of rescue flights will operate, the airline said.
Passengers who have their flights cancelled will receive an email and SMS from easyJet with details of how to book onto the rescue flights.
The announcement from easyJet, the biggest airline operating out of Scotland, comes after a similar move by Jet2.
A statement from the airline said: “For customers who have their flight cancelled, we are committed to getting you home.
“To try and make sure everyone who needs to travel is able to, easyJet are putting on a number of rescue flights over the coming days.”
Passengers will able to book onto a rescue flight online or by turning up to their departure airport as early as possible on the day they want to fly home.
The airline said passengers will get on a rescue flight “if there are seats available”.
The statement said: “We’ll be accepting bookings on a first-come, first-served basis so if you do wish to fly, please book yourself on as soon as you can.
“Once you are confirmed on a flight, we do ask that you please show up for that flight – this will help us get people home as quickly as we can.”