In a statement, Ryanair said: "After a normal landing was completed and while taxiing from the runway the aircraft encountered ice and slid just off the runway on to the grass verge.
"Passengers disembarked normally and were bussed to the terminal."
The statement added: "Ryanair apologises for any disruption suffered by passengers as a result of this incident."
Passenger Alex Paton told BBC Scotland about the moment the plane touched down.
"It did land with a bit of a bump but the plane didn't seem to be slowing down the way it would normally," he said.
"It was all over really quick and you realise you've come to a shuddering halt in a field."
You can hardly walk on the runway never mind stop a plane. How anyone expects to stop a plane on that I'll never know
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