How to reach Favignana
The easiest way to reach Favignana is to fly to Trapani and then use the hydrofoil.
Trapani is easily reachable from many cities of Italy and Europe through cheap flights operated by Ryanair (http://www.ryanair.com/en).
From Trapani airport you can use a taxi, a direct bus which takes you directly to Trapani harbour (ca. 25 mins), in front of the embarkments to Favignana or you can hire a car.
Info about the bus are available at http://www.terravision.eu/trapani_palermo.html (the stop is "Via Ammiraglio Saiti 13").
Info about car rental: several car rentals are available at the airport.

From Trapani harbor you can use the hydrofoils either provided by Siremar and Ustica Lines.
Info about the schedule and ticketing are available at:
Siremar (only in Italian): select the route Trapani - Favignana, http://www.tirrenia.it/it/siremar/Pagine/home.aspx
Ustica Lines: select the route Trapani - Favignana, http://www.usticalines.it/eng/paginaegadi.php?idg=1

If you hire a car, at the port you can use several parking spaces which is usable for those going to Favignana and the islands nearby. Optionally it is possible to reach Trapani Airport directly from Palermo Airport (http://www.terravision.eu/trapani_palermo.html).From Trapani airport use transportation as indicated above

Alternative solutions:
You can reach Favignana by using the ferry from Naples (ca. 6 hours). Go to http://www.usticalines.it/eng/paginaustica.php?idg=3 and please select the route Napoli - Favignana.

Nearby Attractions

Erice is a historic town and comune in the province of Trapani in Sicily, Italy.
Erice is located on top of Mount Erice, at around 750m above sea level, overlooking the city of Trapani, the low western coast towards Marsala, the dramatic Punta del Saraceno and Capo san Vito to the north-east, and the Aegadian Islands on Sicily's north-western coast, providing spectacular views.

More information about Erice can be found HERE.

The most exciting way to get to Erice is by taking the cable-car (funivia) which climbs from the outskirts of Trapani to the town wall of Erice, its station just outside Porta Trapani, the gateway into the old town.

More information about the cable-car can be found HERE(in Italian).
Mozia is a memorable archaeological site in western Sicily, between the towns of Trapani and Marsala. The site covers an island, the Isola di San Pantaleo, situated in a striking location in a kind of shallow lagoon lined with the salt flats and windmills that are a characteristic of this coastline. Out to sea you can glimpse the Egadi Islands. The island's terrain is flat and rural, and excavated stretches alternate with woodland, vineyard and field. It makes a good day or half-day excursion, with a small museum and extensive ruins to visit.

More information about Mozia can be found HERE
San Vito lo Capo is famous to be a seaside town and its coast is splendid and opens into a bay beach which extends from S. Vito to the cape of Solanto, at the foot of mount Monaco. There is placed a tuna station that is inactive since 1600. The place was visited by pilgrims who were votary of St. Vito and a sanctuary was dedicated to him.
Egadilandia is a tourist train which goes around the island of Favignana with a great informative commentary in Italian.

More information can be found HERE.