She is Naima Rharouity, 47.
In a brief email, a spokeswoman for the coroner's office said Rharouity's death will be investigated by Dr. Paul Dionne.
The coroner will be assisted by Montreal police and by the agency responsible for Quebec's building code, the Régie du bâtiment du Québec, which is conducting its own investigation.
The incident happened around 9:15 a.m. ET Thursday, at an unsupervised automatic entrance to the station on the Metro's blue line.
A witness, Bassam Joubarani, told CBC News he was making his way toward the station's exit when he saw the woman lying unconscious, at the bottom of the escalators.
"Half her body [was] on the floor, and less than half her body was on the stairs," said Joubarani, adding that two people were trying to help her.
Police said the woman was in cardiac arrest when firefighters and paramedics arrived.
"She got strangled … and the woman passed away on scene,” Montreal police Const. Jean-Pierre Brabant said Thursday.