There are various ways to get to KOBE from Kansai International Airport (KIX), such as by train or bus, but the "Kobe-Kansai Bay Shuttle", a high-speed boat, is the cheapest, fastest, and most convenient.

Currently, special rates are available for foreign customers only.

Adult (12 and older) ¥1,880 → ¥500
Child (6 to 11) ¥940 y → ¥250

Available at the ticket counter at Kansai International Airport by showing your passport.
For details, please refer to the URL link.