After the incident on the Argentiere Glacier of western Europe’s highest mountain, Mont Blanc, rescuers were unable to revive the woman.
The coroner of Chamonix has launched an investigation into the death and mandated a postmortem.
According to French police, a high mountain search and rescue unit in Chamonix received word of the incident at around 5 o’clock and immediately dispatched rescuers and a doctor by helicopter.
Colonel Bertrand Host of the mountain rescue team reported that despite their best efforts, they were unable to save the woman.
“When we arrived we had to rescue this person but she was in a bad situation and we evacuated her from the valley,” he said. “She was taken charge by rescuers and two dogs but we didn’t manage to revive her.”
The coroner of Chamonix has opened an inquiry into the woman’s death and ordered a postmortem.
Colonel Host said deaths on the Mont Blanc massif are not rare, with about 80 people losing their lives each year.
The local public prosecutor’s office said the woman and her partner had been with a high mountain guide and were going up the Col du Tour Noir when the avalanche happened.
The office confirmed there was an avalanche warning risk of three – on a scale of five – in place on Saturday.
A spokesperson for the Foreign Office said: “We are providing assistance to the family of a British woman who died in France.”
At 4,810m (15,781ft) Mont Blanc is western Europe’s highest mountain and attracts around 20,000 skiers and hikers every year.