The organization will transfer you. But if you want to do your own plan; Kaş is halfway between Dalaman Airport (140 km) and Antalya Airport (192 km) and a fair distance from both, so it avoids excessive package trade. There are various ways to get to Kaş from these airports. The easiest way, and the most expensive, is by taxi. You can hire a taxi in the airport (generally more expensive – should be fixed price of 60-90 EURO), or you can book a transfer from the hotel where you will be staying or from a local travel agency in Kaş (around 60 EURO). You can take a bus or dolmuş (a shared/bus taxi of usually 12 passengers) however they stop in every small village along the way which takes more time.
There are also direct overnight bus services between Istanbul and Kaş, a rather inexpensive way of getting to and from the capital. Bus services in Turkey are very modern and generally excellent and, if you want to get to Istanbul, you may prefer spending the night in the bus and waking up in Istanbul the next morning rather than wasting a whole day traveling to the airports for a local flight.
The bus station (otogar) is located right at the centre of town, on the side of main square.
The savvy traveler should remember that when traveling into Kaş, there are several national holidays to keep in mind as they can cause delays in travel, traffic congestion, booked up accommodations and crowded venues.