During the past three decades, populist radical right parties have become influential political actors in a number of Western European countries. In the elections to the European Parliament in June 2014, populist radical right parties won the largest share of the vote in France, the UK, and Denmark. They received a substantial number of votes in Finland, Sweden, the Netherlands, Flanders, and Austria. In addition to the remarkable EU parliamentary election results, populist radical right parties entered government in Norway and Finland and have been established as one of the largest political parties in Switzerland. What kind of challenge does the rise of the populist radical right raise in advanced contemporary democracies?