Grenoble can easily be reached by train, plane or car. The Lyon airport, Airport Lyons-Saint Exupéry can be reached within in one hour with a shuttle bus.

By train:

Grenoble train station is connected to all majors French and several European cities wit the high speed train (TGV) .

Informations on schedule and prices can be found  on the SNCF website.

By plane:  Airport of Lyon-Saint Exupery (LYS)

From Lyon Saint-Exupéry airport you can go to Grenoble using the shuttle bus
- Shuttle bus  Grenoble Faure Vercors provide a bus each hours 7 day basis. When you arrive in Grenoble the stop is just few meters away from train station.

More details and a map are available here