The European Cyclists' Federation (ECF) has been coordinating the development of a network of high-quality cycling routes connecting all of Europe since 1995. These routes are used for long-distance cycling tourism, but locally, they are also used for daily commutes by the local population.
The Dubrovnik area has two routes:
Ston - Dubrovnik and
Dubrovnik - Vitaljina. You can also explore the individual sections on the
interactive map.