The airport of Leros is located in the northern side of the island, in the region of Partheni and 10 km from Platanos/ Agia Marina. This small airport serves only flights from Athens, the capital of Greece.
Every time a flight arrives on Leros island, there is a bus and few taxis outside the airport to serve passengers. Alternatively, many hotels in Leros island provide transport from/to the airport.
In order to make things easy, you can book your hotel.