There is no airport in Lefkada island. The closest airport to Lefkada island is the airport of Aktion/Preveza, about 25 km from Lefkada Town. This airport works only in summer and receives charter flights from abroad and few charters from other Greek islands.
From the airport in Aktion, you can go to Lefkada by taxi or rental car. Alternatively, you can book your Lefkada airport transfer online.