Dubrovnik Airport Shuttle Bus Service
Atlas travel agency operates an airport shuttle bus from the Dubrovnik airport to downtown Dubrovnik. It departs the airport shortly after every scheduled flight arrival and takes passengers to the Pile Gate entrance to Old Town, followed by the main bus station in Gruz Harbor. The return bus to the airport departs from the main bus station in Gruz Harbor and makes a stop at the cable car bus stop (just above the Old Town) before going to the airport.
The trip takes approximately 35 minutes and costs 35 Kuna per person (about 5 Euros). The schedule for departures to the airport changes regularly and is created just 2 days in advance. It is recommended that you email Atlas at Transferi.dubrovnik@atlas.hr 2 days prior to your departure for the schedule. I recently emailed them and received a reply with a copy of the schedule within 30 minutes.