The incident happened at around 9.55 am when the woman was trying to cross the road and was knocked down by a bus which was trying to overtake another bus of the same route at Khanna more near Manicktala crossing, a senior officer of Kolkata Police said.
The injured woman was rushed to a nearby hospital which declared her brought dead, the officer said.
Though the drivers of both the buses were absconding, the police has seized both the vehicles, the officer added.