From Antalya Airport there are airport buses (Havas) that operate every hour. They cost approx. 10TL and bring you into Antalya Bus Station (Otogar).
From there local buses (dolmus) leave regularly for Demre. The journey takes 4.5 hours and costs approx. 15TL.
We can organise private airport transfers for you and the journey will take around 2 hours. Please contact us for further details or enquire at time of reservation or https://airporttransferturkey.com/antalya-ayt/demre
Alternatively you can take the Airport Transfer (Havas) into Fethiye Bus Station. It takes 1 hour and costs approx. 10TL. From Fethiye Bus Station (Otogar) you continue with local bus (Dolmus) to Demre, which takes about 3 hours and costs approx. 22TL.
We can organise private airport transfers for you and the journey will take around 1,5 hours. Please contact us for further details or enquire at time of reservation or please follow link https://airporttransferturkey.com/dalaman-dlm/demre
With National Buses
In Turkey there are many large bus companies that operate between Demre and most major cities of Turkey. For the longer distances from Istanbul, Ankara and Izmir there are direct overnight buses that arrive early in the morning.
Examples of these companies are Kamil Koc, Metro, Pamukkale and Ulusoy which all take reservations online. The standards of these buses are very high and all of them offer small snacks, water and some companies even have WiFi.