For a fast service, book a private transfer.
Your driver will meet you in the airport and drop you at your accommodation in Verbier, saving you all the effort.
Cut your travel costs and share your transfer. This is the most budget-friendly way to travel from Geneva airport to Verbier, without skimping on comfort.
If you want to travel green, choose the train.
With a regular service from the main airports of Switzerland, the CFF trains will easily transport you to Le Châble (in the valley below Verbier). From there, you can catch either the cable car or a bus to Verbier.