To get to Antiparos island you must first reach Paros island by:  

Airplane from Athens (Eleftherios Venizelos airport).

Information for reservations at: www.olympicairlines.com
Tel: 801 114 4444, +30 210 9666666

By boats or super fast ferries from Piraeus and Rafina port to Paros port (Parikia).

Information for reservations at: www.hellenicseaways.gr , Tel: +30 210 4199000
Information for reservations at: www.bluestarferries.gr ,    Tel: +30 210 8919800

In order to get from Paros to Antiparos,

there are two ways:

a) The first is to take the caique (small boats) which you can find on your left as you disembark to Paros (trip duration is 25 min). This is only for passengers.

b) The second way is to drive to Pounda, 7 km from Parikia, or you can use the local bus or taxi (tel 22840-21500) from the harbor to get you there. Then take the ferry-boat to Antiparos.
There are no taxis in Antiparos, but you can use the local bus to get to the cave, Soros and Aghios Georgios (11 kms) or you can rent car or motorcycle.

c) From Paros airport you must call  taxi to transfer you to Pounta (22840-21500)