Public transportation from Geneva, Switzerland airport

Train service is available.
Check schedules and fares at the Swiss Rail site: http://rail.ch

Yes, there's a handy train that zips you from the airport to downtown and beyond. The price - Free! just grab yourself a train ticket from the dispensing machine as you exit baggage claim. Those Swiss - they sure know how to operate public transportation!

Thanks to all who have sent information on getting from the Geneva airport to downtown.