Zadar and Split are the nearest airports to Tisno. You can either book a dedicated bus transfer from the airport direct to Tisno, or alternatively make the trip to the main bus terminal before catching a connection on to Tisno.
We recommend against travelling by train in Croatia, and would advise you to get a bus or a coach if you can. Services will run from most major cities, although some routes may require a change.
The currency is the kuna (kn / HRK) although accommodation is always priced in euros (but then charged in kunas). There is an ATM onsite and plenty in Tisno village too.