Images from the scene show the aircraft departed the left side of the runway and travelled part of the way down a steep coastal slope, coming to rest a short distance from the sea.
The incident late Saturday created panic among the 162 passengers on board Pegasus Airlines Flight PC8622.
Pegasus said in a statement the aircraft had been successfully evacuated and no injuries were reported.
The airport, situated in the Turkish province of the same name, was closed for several hours afterwards but has since reopened.More news: Trump has received physical checkup as president
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"It's a miracle we escaped. I feel like I'm going insane when I think about it".
No one was injured or killed in the landing, reports said. "The front of the plane crashed and the back was in the air".
"We swerved all of a sudden", she said.
The flight originated in the capital, Ankara.