Barbara Weldens, 35, was singing at the Festival Léo Ferré in a church in the village of Goudron in the southwest region of Lot, France, on Wednesday when she collapsed after suffering an apparent cardiac arrest.
While the cause of death is still unknown, it is believed that she was electrocuted while performing.
Weldens was performing barefoot and had a live recording device on stage, according to Le Depeche.
Police have launched an investigation into her death but have not speculated on the circumstances.
They are reportedly analyzing several videos taken the night of the festival as part of the investigation.