"There was one passenger registered on the plane, French citizen Christophe de Margerie. The three crew members were also French citizens. They all died," the TASS news agency cited an aviation source as saying.
TASS reported that the plane "according to a preliminary version, crashed into a snow plough".
The Interfax news agency cited a police source as saying that one of the dead was a top executive at Total, naming de Margerie, 63.
A spokesman for the emergencies ministry told AFP that he could not give information on the casualties.
There was no immediate response from Total in France, who were contacted by AFP.