Regular buses from Rovaniemi head to Kilpisjärvi and the village can also be reached by taxi from Hetta. There are also night trains from southern Finland to Kolari and Rovaniemi and buses can be taken the rest of the journey. You can buy tickets and see bus timetables on the Matkahuolto website
Many travel to Kilpisjärvi by motorhome or camper in the summer time and there are a few camping areas with parking in the village.
Unless arriving by chartered seaplane, the closest airports to Kilpisjärvi are Enontekiö and Kittilä in Finland, or Tromsø in Norway.