She suffered severe burns and was taken to hospital for treatment to her injuries but died later that evening.
The fire happened at a flat in Ardnaclowney House, a sheltered housing complex, off Beechmount Avenue.
Police and the fire service attended the scene about 16:00 GMT after the fire broke out in the woman's top-floor flat.
The fire service said that the fire was "accidental" and was discovered in the flat's kitchen.
Three other residents were treated at the scene for smoke inhalation.
The flat has been cordoned off while an investigation takes place.
A woman in her 60s has died following a fire at her home in west Belfast on Sunday afternoon.