When landing off, take a bus or taxi. From the airport to Split, you can use the bus after each flight and drive to the ferry port, as well as a taxi or rent a car. You can use the regular bus line number 37 which departs from the airport in Split and Trogir every 20 minutes.
From Split to Tučepi bus departs every ½ hour. Simply board a bus that goes in the direction of Makarska and Dubrovnik.
Highway exit Zadvarje - tunnel Sveti Ilija. More information can be found on the official website of the Croatian Motorways - www.hac.hr
By train you can reach from Zagreb and Rijeka to Split and then by bus or taxi to Tučepi. More info on Croatian Railways - www.hznet.hr
Line Rijeka - Split or lines Split-Ancona-Split. More information on the Jadrolinija website - www.jadrolinija.hr