64-year-old Maurice Wrightson was driving more than 50 people on their way back from Alpe d'Huez when the coach left the road on Tuesday, smashing into rocks before bursting into flames.
French police say they suspect there was a problem with the vehicle's brakes.
The driver's "remarkable courage" was praised by French transport minister Frederic Cuvilliern when he visited the scene.
The minister reportedly said the position of the bus suggested Mr Wrightson tried to slow the bus down by hitting rocks rather than risk it going over a precipice and that his actions saved lives.
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